Questions asked by Karla

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• A viscous liquid is poured onto a flat surface it forms a circular patch whose area grows at a steady rate of 5cm^2s^-1 find in term of pi (a) the radius of patch 20 sec after pouring has commenced (b) the rate of increase of the radius at this instant?
  
• The volume of a spherical balloon is increasing at a constant rate of #0.25m^3s^-1#. Find the rate at which the radius is increasing at the instant when the volume is #10m^3#?
  
• The equation of a curve is y=4/(2x+1) Given that the line 2y=x+c is a normal to the curve find the possible values of the constant c?
  
• Please tell me any online free math questions answer help if you know because I have my exams The Socratic math don't help me I am in as level and Socratic math pic help in simple equation level questions ?
  
• Show that the equation 1+sinxtanx=5cosx can be expressed as 6cos^2-cosx-1=0?
  
• Tan^2x-sin^2x prove it can be written as tan^2xsin^2x?
  
• The function f is such thatfx)a-bcosx for 0<x<360, where a and b are positive constants .the maximum value of fx is 10 and minimum is-2 find a and b?
  
• In the triangle ABC AB=12cm angle BAC=60 and ACB is 45 find the exact length of BC?
  
• Solve the equation tanx+1/tanx=1+3tanx For 0<x<180?
  
• Prove the identity (1-tan^2x)/(1+tan^2x) is same as 1-2sin^2x?
  
• Solve the equation #sin(2x) +3cos(2x) = 0# ,for #0<x<180#?
  
• Solve equation #4(sin^2(2x)) +7(sin^2x)-2=0# For #0<x<360#?
  
• Can you tell that for example it's an equation #y=2x^2-6x+5# And question is to find the set values of x for which y>13 So in it answers are x<-1 and x>4 How do we know that x is greater or less than -1 or 4 as when we solve it on calculator?
  
• Find the value of the constant c for which the line y = 2x + c is a tangent to the curve y2 = 4x.?
  
• A function f is defined by f(x) 5-2sin2x For 0<x<pie a)find the .range of f. b)sketch the graph of y=f (x)?
  
• The function f is defined by fx=5/(1-3x) for x>1 find the expression f'(x)?
  
• The function f is defined by fx=5/(1-3x) for x>1 Find an expression for f^-1 and state domain and range of f^-1?
  
• A curve is such that dy/dx=8/(5-2x)^2. Given that the curve passes through 2,7 Find the equation of the curve. I want to know that how do I know i have to solve it through integration or differentiation etc how to solve it?plz tell when to integrate
  
• draw an octagon using a set square with 4 right angles?
  
• A circle is divided into 6 sectors so that the angles of the sectors form an arithmetic progression. The largest sector angle is 4 times the smallest sector angle. Given that the radius of the circle is 5cm find the perimeter of smallest sector?
  
• Prove the identity tan^2x-sin^2x is same as (tan^2x)(sin^2x)?
  
• Think about a square. Now imagine cutting off one corner. Draw and name the shape that is left?
  
• Draw a 4 sided shape that has 2 angles that are larger than a right angle?
  
• A)Lilly had $5 in notes and 132 cents how much money did she have all together b) what is the smallest numbers of notes and coins that could make up the total?
  
• Relative to origin the position vector of the point A,B,C are given by OA=(2i 3j 5k),OB=(4i 2j 3k),OC=(10i 0j 6j) the point D is such that ABCD is a parallelogram find position vector of D.?
  
• A particle p moves in a straight line the acceleration of p at time #t# second after starting from the point O on the line is #x ms^-2# where #x=3/2t^(1/2)# given that the velocity of P at o is #2ms^-1# find its velocity when #t=4#?
  
• Find the sum of all the term in arithmetic progression 180,175,170......25?
  
• 2 forces each of magnitude 8N act at point in the direction of OA and OB the angle between the forces is theta resultant of two force has component 9N in the direction OA find value of theta?
  
• What is the gradient of this equation of the curve y=2x+(8/x^2)?
  
• how would I find range of this e.g (6/(2x+3)) for x>0 I will put zero in place of x and find range that is 2 but I don't know it will be greater or less than x?
  
• Area is A=30x-x^2 x can vary a)Find value of x at which A is stationary (I have found it's 15) b)find this statinary value of A and determine whether it's maximum or minimum value?
  
• Prove the identity Tan^2x-sin^2x is same as (tan^2x)(sin^2x)?
  
• The length xmetre of green anaconda snake which is t years old is given approximately by formula x=0.7underroot(2t-1) where 1<t<10 find dx/dy and the rate of growth of snake which is 5years old?
  
• A particle is projected vertically upwards from a point O with initial speed 12.5 m s−1. At the same instant another particle is released from rest at a point 10 m vertically above O. Find the height above O at which the particles meet.?
  
• It is question about finding tension and force in the picture below ?
  
• Question is about finding force etc.?
  
• What will be the formula used to find work done against resistance if loss in potential energy and gain in kinetic energy is given?
  
• In an arithmetic progression the sum of the first n term,denoted by # S_n# is given by #S_n=n^2+8n# Find the first term and the common difference ?
  
• How do we know that Tan(180-x)=-tanx And Cos(180-x)=-cosx Sin(180-x)=Sinx Tan(90-x)=1/-tanx etc...is there any way we can find out these?
  
• Its question about velocity time graph?
  
• How to do this through lami theorem?
  
• Its question about fixed pulley?
  
• It is question about finding distance from velocity time graph?
  
• It is about finding kinetic energy want help in part 1 not part 2 in part 1 please tell how to find velocity?
  
• Given that cosx=p Where x us an acute angle in degrees find in term of p i) Sin x ii)tanx iii)tan(90-x)?
  
• Find the coordinate of the point at which the perpendicular bisector of the line joining (2,7) to (10,3) meet the x- axis please solve through making the diagram of line point etc?
  
• It is about trigonometry ?
  
• Want help in part 2?
  
• It is a vector question?
  
• It is about coordinate and geometry want help in part 1?
  
• The function f is defined by f:x =6x-x^2-5 Find set of values of x for which f(x)<3 I have done finding x values that are 2 and 4 But I don't know which direction inequality sign should be?
  
• F(x)=x^2 +6x-8 Find range of f I found the range correctly as -17 but I don't know that where should be inequality sign direction?
  
• F(x)=x^2 +6x-8 Show that if the equation f(x+a)=a has no real root then a^2<4(b-a)?
  
• The function f is such that f(x)=a^2x^2-ax+3b for x<1/(2a) Where a and b are constant for the case where a=1 and b=-1 Find f^-1(c.f. and find its domain I know domain of f^-1(x)=range of f(x) and it is -13/4 but I don't know inequality sign direction?
  
• It is about finding area want help in part b?
  
• I have done half but i am not able to find angle in part2?
  
• It is about vector how to find vector of AM i have AC?
  
• It is question about series topic geometric series?
  
• It is about finding expression for volume?
  
• The horizontal base of a solid prism is an equilateral triangle of side x the sides of the prism are vertical the height of prism is h and volume=2000 Express h in term of x show that total surface area A =(3^1/2)/2*x^2 +(24000/3^1/2)x^-1?
  
• Point A and B lie on the curve #y=x^2-4x+7#. Point A has coordinates #(4,7)# and B is the stationary point of the curve. The equation of a line L is y=mx-2 Where m is a constant. In the case where L passes through the midpoint of AB find the value of m?
  
• The common ratio of a ggeometric progression is r the first term of the progression is(r^2-3r+2) and the sum of infinity is S Show that S=2-r (I have) Find the set of possible values that S can take?
  
• How do we find angle of like negative integer is there like cosx=-1/3 normally for positive cosx we take angle in first and fourth quadrant but what if it is like I wrote above negative And how to find angle if range start from negative I.e.-180 to 180?
  
• Is it true that (1-cos^2x)=((1+cosx)(1-cosx)?
  
• If a equation is like this #-2(x+3)^2+25# what is its turning point?
  
• The particle p is released from rest at the top of a smooth plane inclined at angle a where sina=16/65.the distance travelled by P from top to bottom is S metres and speed of P at bottom is 8ms^-1 find S and hence speed of P when it has travelled 1/2S?
  
• Please help me with question number 6 part (i)?
  
• Limiting equilibrium means #ma=0# In #F-f=ma# ?
  
• It is question about forces and equilibrium ?
  
• A particle P moves in a straight line starting from point O with velocity #2#m/s the acceleration of P at time t after leaving O is #2*t^(2/3)# m/s^2 Show that #t^(5/3)=5/6# When velocity of P is #3#m/s?
  
• Can anyone help me with 9709 may/June/2017 paper 43 Question number 7 part (ii) I have found velocity and acceleration as #v=1.68# and #a=2.83# I don't understand how it will move further?
  
• A particle P moves in a straight line. Velocity v ms^-1 at time t s is given by #v=5t(t-2)# for #0<t<4# #v=k# for #4<t<14# #V=68-2t# for #14<t<20# Find the set of values of t for which acceleration is positive?
  
• A particle starts from rest and moved in a straight line the velocity of the particle at time t after start is v m/s where #v= 0.01t^3 +0.22t^2 -0.4t# Find the time at which the acceleration of the particle is greatest?
  
• Why we use exclamation Mark *!* after thank you?
  
• For what purpose we use hashtags # what does it mean?
  
• Abet…She was unwilling to abet him in the swindle he had planned. Why not it can be -in the swindle he planned-? Why we added "had" and without it sentence would be correct or not?
  
• She was doing her homework She had been doing her homework Which is correct?
  
• When do we use -she have had done……-?
  
• Which sentence is correct: My institution does not allow me to.... Or My institution do not allow me to....?
  
• If I want to ask someone about the date of my interview how will I ask? Can you tell me when will my interview occur....yes I know that sounds bad so how will i ask.tell me grammatically correct sentence?
  
• Which is correct Number of pages is not written OR Number of pages are not written What other grammatically correct sentence can be made?
  
• If some one says let me fetch that information for you and I want to ask that Have you fetched the information? Is it correct sentence
  
• If I want to ask about school person studies What would I say Can I say Which school are you from? Which School do you study? Are these sentences grammatically correct? Please tell more sentences to ask this question
  
• Are these sentences grammatically correct?
  
• Are they grammatically correct sentences?
  
• Charlie bought a $60 radio on sale off 5% off. How much did he pay including 5% sales tax?