Find the area of the surface generated by revolving about x-axis the part of the curve y = sin x, from x = 0 to x = πt.

Q: 3) dy dx - y = sin x

A: We have to solve the given differential equation.   According to our guidelines we can solve only…

Q: Differentiate the following functions using Chain Rule: 1. y = (4x + 3)² 2. y = √5x-2 3. y = (6x-4)²…

A:

Q: - a. Find the derivative of 3y – 2xy² = sin x + cot y b. Find the derivative of 2y x(3³) – In(²/²) =…

A:

Q: II. Solve the initial value problem. 1 1 (a) ,y(e) = 1 dr x+1 x(x + 1)'

A: We have to find out the solutions

Q: 12. dx Ve -1

A:

Q: 150. Determine the real number a such that vectors a = -3i+2j and b = 2i+aj are orthogonal.

A:

Q: Jonathan invested $240,000 to purchase a home. After 14 years, he sold the home for $320,000.…

A: The given problem is solved below in detail.

Q: [Select] the derivative of y? y = x⁹e²x+1 18. Which rule is applicable when solving for A.…

A:

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A: We can solve this as follows:

Q: What is the second derivative of the function y = -7 sin x cos x where x is ? Round your answer to…

A:

Q: 1/B) Find the length of the cardioid 'curve: r = 1 + cose

A:

Q: əz Əz Əx Əy Q5-A) If z =(x +by)² +e+by+sin( ax +by) show that b =a

A:

Q: (x - 2y - 1) dy = (2x - 4y - 5) dx

A:

Q: f(x)=(6x¹-2x+1)

A:

Q: 3. If ƒ(x) = log₂(−(x − 6)) and g(x) = √(x + ²) a) Determine the domain of g(x) + f(x) b) Is there a…

A: We want to find domain of g+f

Q: NEED ASAP using washer's method, x^2+y^2=25, x+y=5 (smaller area); about y=0

A: This question has been solved using the washer method.

Q: The function f(x) = X = (6x 3) e5 has one critical number. Find it.

A: Given function ,   f(x)=(6x-3)e5x

Q: Read, analyze and solve for the following. Express your answers as decimals rounded off to two…

A:

Q: -f(x)=√√5x² +2

A: Please see the answer below.

Q: QUESTION 18 Determine the third order MacLaurin's polynomial for f(x) = ex.

A: Kindly note that I have authority to answer only one question. If you want remaining question to be…

Q: Evaluate the definite integral. I's 5 cos(nt/2) dt

A:

Q: Find the radius of curvature of y=xª at (1,1).

A: Here we have to find the radius of the curvature of y=x4 at (1,1)

Q: Question 12 ( What is the function of cos that has an amplitude of 4 a period of at (0,2)? and has a…

A:

Q: Read, analyze and solve for the following. Express your answers as decimals rounded off to two…

A:

Q: The plane (x, y, z) = (4, 2, 1) + s(1, 1, -2) + t(2, -1, 3), converted into scalar form, has the…

A:

Q: P af af Q3.If f(x,y)=sin(x-3y) + sin(x) find: and əy ax

A:

Q: xp 11. 1. f, dxx -X

A: Let's solve  given integral.

Q: 1 f(x) = (2x³ + 6) ³

A:

Q: 7. fx² cos mx dx, where m is constant.

A: We have to solve the integral

Q: Consider the function f(x) = 3x² − 8x + 6, 0 ≤ x ≤ 9. The absolute maximum of f(x) (on the given…

A:

Q: What is the derivative of y = (-3x²-x+4)e5 ANSE

A:

Q: Question x² Find the lower sum for f(x) = 5- on the interval [1, 5] using 4 rectangles. 5 10 F…

A:

Q: Find if x-t³+1 and y=4t²-4t. d²y dx²

A: Solution of given question is written in below steps.

Q: An inner-city revitalization zone is a rectangle that is twice as long as it is wide. The width of…

A:

Q: Evaluate Sc (4x+3√7) ds ds where C is given in the accompanying figure. Sc (4x + 3√/y) ds = (Type an…

A:

Q: Find the equation to the tangent to the curve given by x = 2y and y = t + 5 at the point where t = 2…

A:

Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

A:

Q: A scheduled payment of $4,000 due in one year is to be replaced with two payments: the first due in…

A:

Q: 2. Use differentiation to find a power series representation for f(x) = 1 (1 + x)² °

A:

Q: sin 3x cos 5x dx

A: ∫0π/8sin3xcos5xdx here we use formula  sinacosb = (1/2)[sin(a+b) +sin(a-b)]

Q: A function y with the property that y = -y" is

A:

Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

A:

Q: Consider the function f(x) = 3 - 3x², − 4 ≤ x ≤ 1. The absolute maximum value is and this occurs at…

A:

Q: 12 [ sin* ‡nxdx

A: We can find the answer as below

Q: Which expression is the derivative of the function y = 9e-8 O No correct answer O9e-8 -8t O 72e-8…

A:

Q: [Select] A. f(x) = 3x² + 2 B. f(x) = 3x² +4 C. f(x) = 4x³ D. f(x) = 3x4 [Select] A. 6 B. 5 C. 3 D. 2…

A: topic- functions and limits

Q: y = (2x − 1) (x + 4)

A: To evaluate and to solve the function using the product and quotient rule of differentiation.…

Q: Find the derivative of f(x) = √5 - 4x. To enter √a, type sqrt(a). f (2)

A: The objective objective is to find f'(x).

Q: Find a potential function f for the field F = e²y + 52 (2 i + 4x j + 10x k). A general expression…

A:

Q: 5 dx Evaluate: (x-3)² 1 A B C D E -1 ∞o (does not exist) 1 0 None

A: