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I cut a triangle ABC out of a piece of paper. I found out that sinA+sinB+sinC=5/2 and a/sinA=16. What is the triangle’s perimeter?

Triangle A has an area of #15 # and two sides of lengths #4 # and #9 #. Triangle B is similar to triangle A and has a side of length #12 #. What are the maximum and minimum possible areas of triangle B?

What is the antiderivative of # ln(x^2 + 2x + 2)#?

A particle begins to move with a tangential acceleration of constant magnitude #0.6m/s^2# in a circular path. If it slips when it's total acceleration becomes #1m/s^2#, then the angle through which it has turned before slipping is?

Integrate #x^3/sqrt((x^2+16))# dx using trig substitution?

Find the Taylor series expansion formula of #f(x)=\lnx# at #a=3#?

When a load is connected to a voltage divider, will the total resistance of the circuit increase or decrease?

A radioactive isotope #""_Z^XA# decay and emits one alpha particle and two beta particles
consecutively. How to write the formula for the nuclides produced?

What is the solution to the integral of 2cosx + 3sinx / cosx + sinx? Thanks

If the area under the curve of f(x) = 25 – x2 from x = –4 to x = 0 is estimated using four approximating rectangles and left endpoints, will the estimate be an underestimate or overestimate?

Question #265f1

Find the sum of the infinite series #ne^(1n)# from #n=1# to #oo#?

What is the answer please?

How to define a, b, c, d, e that are integer between 19 so that matrix is a symmetry matrix?

An object moves along a curve has an acceleration of 5 m/s^2 at 30° with its velocity of 5 m/s at some instant . The radius of curvature of the path at that instant is ?
a) 10 m
b) 20 m
c) 5 m
d)15 m

Please solve with a detailed explanation?

What are the local extrema of #f(x)= xlnxxe^x#?

What are the range of initial values using the NewtonRaphson method for #(x9)/(x^2+1)=0# for it to converge to 9?

Find # i# for #t>0 # if the circuit is in steady state at # t=0# ?

A particle moves in the xy plane with velocity #v_x#=#8t2# and #v_y#=2.If it passes through the points #x=14# and #y#=4 at #t#=2,what is the equation of the path?

A frequency of variation of kinetic energy of a simple harmonic motion of frequency n is?

What is the area of the shaded segment?

How to integrate 1/(64x^2+100)?

Let #'f'# be an even periodic function with period '4' such that #f(x) = 2^x1#, #0<=x<=2#. The number of solutions of the equation #f(x) = 1# in #[10,20]# are?

A circular loop wire with current I1=I∘π and a V shaped wire with current I2 are arranged in a plane as shown in diagram. If magnetic field at O is zero, value of I2 is ?
(a)#(13aI_@)/35r#
(b)#(12aI_@)/17r#
(c)#(aI_@)/r#
(d)#(12aI_@)/35r#

The answer is?

A circle touches two perpendicular lines
#2x3y=15#
and
#3x+2y=3#
at the points
#A(6,1)#, #B(1,0)#
respectively. Find the equation of the circle?

#y=f(x)# is given. Graph, #y=f(3x)2# and #y=f(x1)#?

How do you evaluate the integral #int sqrtxsqrt(4x)#?

Show that the line integral #int_{1,2}^{3,1}(y^(2)+2xy)dx+(x^(2)+2xy)dy# is independent of path and evaluate it?

Find the required limit algebrically, if it exists.
lim (x+3)/(x3) if x approaches 4 ?

How do you solve #sin(x/2)1=0# between the interval #0<=x<8pi#?

#psi_A(x,0) = sqrt(1/6)phi_0(x) + sqrt(1/3)phi_1(x) + sqrt(1/2)phi_2(x)#
Calculate the expectation value #<E># at any later time t=#t_1#, #phi_n# are energy eigenfunctions of the infinite potential well .Write the answer in terms of #E_0#?

An amount Q of heat is added to a mono atomic ideal gas in a process in which the gas performs a work Q/2 on its surrounding .find equation of the process?

A town's January high temperatures average 36°F with a standard deviation of 10°, while in July the mean high temperature is 74° and the standard deviation is 8°. In which month is it more unusual to have a day with a high temperature of 55°?

How to find result ?

A particle of mass #m# moving with speed #v# hits elastically another stationary particle of mass #2m# inside a smooth horizontal circular tube of radius #r#. The time after which the second collision will happen?

Find two numbers whose sum is 12 such that the sum of the square of one plus 4 times the other is a maximum?

Three rods each of mass M and length L, are joined together to form an equilateral triangle. What is the moment of inertia of a system about an Axis passing through its centre of mass and perpendicular to the plane of the triangle?

Integrate. What is the next step ?

What is the arclength of #(1/t^2,1/t)# on #t in [1,2]#?

Total resistance of the circuit ?

A parellel plate capacitor with plate speration d is charged with a battery so that energy stored is #"U"#. If a plate of dielectric #"K"# and thickness d is placed betweeen the plates of capacitor and battery remains connected. The work by battery is?

If the AM and GM for 10 observations are both 15 then the value of harmonic mean......?

F(x)=e^0.5x when x<=0 and f(x)=(xh)2+k when x>0 find h and k such that f(x) is both continuous and smooth at x=0?

A projectile is shot from the ground at an angle of #( pi)/3 # and a speed of #9 m/s#. Factoring in both horizontal and vertical movement, what will the projectile's distance from the starting point be when it reaches its maximum height?

When #a1/a=1#, #a^51/a^5 =#?
how to solve....

How do you solve the inequality #x^2+3x28<0#?

Integral Lnx/(1+x)^2 dx Answer Guys ???

How do you prove [(sinxcosx)/(secxcscx)]=[(sin2x)/2]?

What is the derivative of #f(x)=sqrt(1+log_3(x)# ?

How to derive 1st of motion from second law of motion?

#int sqrt(x^2+5/x)=#?

#intint_Asqrt(xyy^2)dxdyquadquadA={(x,y)inRR^2; 0<=y<=3, x/10<=y<=x}# Would anyone help me?

How do you factor the expression #6 a^2  ab + 7 b^2#?

How do you solve for x given #\frac{2x}{7}+9  > frac{5}{7}#?

What is the integration of #(dx)/(x.sqrt(x^3+4))#??

In a garden a boy is swinging in the standing position how will the time period of the swing be affected if the boy sites down on the swing?

17!/(5!*12!) ?

How many solutions are there to the following system of equations 4x – 8y = 0
and –3x + 8y = –7?

How to complete this electrical current table?

The number of solution of the equation
3^(sin2x+2cos2x)+
3^(1sin2x+2sin2x)=28 in [0,2π]?