03/25/21

I need assistance!
Rewrite 2sin(4x)cos(3x). as the sum of sine or/and cosine funtions.
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03/25/21

A point is moving along the graph of the given function at the rate dx/dt. Find dy/dt for the given values of x. y = 2x2 + 5; dx/dt = 3 centimeters per second when x=-1 , x=0 , and x=1
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03/25/21

Find an equation for the tangent line to the graph of the function F(x)=√5x^2+1 at the point (4,9).
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03/23/21

Two Calculus Questions

the tangent line to the curve y=x2lnx is horizontal at x equal to : If the position function is f(x)=3cos(2t) then the acceleration function is :
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03/23/21

a curve c is defined by the parametric equations x =1/(√(t+1)) and y = t/(t+1) for t≥0. rest in comments
(a) find dy/dx in terms of t.(b) find an equation of the tangent line to C at t=3.(c) set up but do not evaluate a definite integral representing the length of the curve C on the interval 0≤t≤1.(d)... more
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03/23/21

The length of the curve y=x^3 from (0, 0) to (1, 1)

The length of the curve y=x3 from (0, 0) to (1, 1) isa) 1.732b) 1.548c) 1.495d) 1.414e) 1.380
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03/22/21

If y= A cos kt + B sin kt, where A, B and k are constants, show that y" + k 2y =0
If y= A cos kt + B sin kt, where A, B and k are constants, show that y" + k 2y =0
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03/21/21

Which of the following statements is true for the series the summation from n equals 1 to infinity of the quotient of the sine of n and 2 to the nth power ?

Which of the following statements is true for the series  ? A The alternating test applies but is inconclusive. B The series converges conditionally. C The series diverges. D The series... more
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03/18/21

An isosceles triangle has area of 1m^2, what are the dimensions of the one with the shortest leg?
An isosceles triangle has an area of 1m^2, what are the dimensions of the one with the shortest leg?
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03/16/21

trigonometry help
Algebraically find the solutions of sin(2θ)-cosθ=0 on the interval 0 less than or equal to θ less than or equal to 2pi.
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03/16/21

Calculus question

A parabola whose minimum is at (−8,2) has the equation y=x2+ax+b. Find a and b. 
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03/14/21

What is the maximum possible area of the pasture?
The back of Alisha's property is a creek. Alisha would like to enclose a rectangular area, using the creek as one side and fencing for the other three sides, to create a pasture. If there... more
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03/13/21

If f( w ) = e^− 7 sin w + 2 cos w , find f ' ( w ) . Use exact values.
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03/12/21

Precalculus Question
The expression ion log (x^10 y^16 / z^16) can be written in the form, A log(x) + B log(y) + C log(z) Where A = ___? B = ___?C = ___?
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03/12/21

If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that f '(c) = 0.

f(x) = x2 − 2x − 3 x + 4 ,    [−1, 3]c =  
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03/11/21

Evaluate integral (x^1/2)(x) dx
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03/11/21

Calculus Help!!!
Differentiate the following:(a) f(t) = e^(5t−π) sqrt(2 − t)(b) f(x) = ax2 + b/ cx^3 − k (a, b, c, k are nonzero constants)
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03/11/21

infinite series
evaluate ∫(ex)/x dx as an infinite series
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03/11/21

math precalculus

Write the equation of the parabola if: the vertex is (-2, -8), ad the point (-20, 12) is on the parabola
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03/11/21

Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.)
f(x) = x2/3 − 3,    [−8, 8]Yes, Rolle's Theorem can be appliedNo, because f is not continuous on the closed interval [a, b].No, because f is not differentiable in the open interval (a, b).No,... more
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03/11/21

Which of the following series is/are convergent by the alternating series test?
Which of the following series is/are convergent by the alternating series test? A I only B I and II only C I and III only D II and III only
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03/11/21

Which of the following series converges conditionally?
Which of the following series converges conditionally? A B C D
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03/11/21

State the convergence/divergence for the series the summation from n equals 1 to infinity of the product of negative 1 raised to the nth power and 2 raised to the nth power divided by n factorial

State the convergence/divergence for the series  A Converges absolutely B Converges conditionally C Diverges D Cannot be determined
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03/10/21

HELP: Consider the indefinite integral ∫sin^3(x) dx
a) Explain why the substitution u = sin (x) will not work to help evaluate the integral.b) By observing that sin3(x) = sin(x) • sin2(x), and using the Pythagorean Identity, rewrite the integral as... more
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02/26/21

STATISTICS HELP! Faith is a 95% free throw shooter. At practice, each player shoots 20 free throws. Let X = the number of free throws Faith makes out of 20 shots.
Faith is a 95% free throw shooter. At practice, each player shoots 20 free throws. Let X =the number of free throws Faith makes out of 20 shots.Which of the following explains why this scenario... more
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