| sinh54x cosh 4x dx can best be evaluated by General Power Formula. A True В False

Q: 12t – cos 31) dt sin7t sin4t dt = A True B False

A:

Q: .4 4-y Q3) Evaluate triple integral , S S dz dy dx.

A:

Q: An object moves with acceleration function a(t) = 5 + 2t – 9t². Its initial velocity is v(0) = 6 m/s…

A: Find out the position after t seconds.

Q: Find the volume trapped between the cone z = 2 – Vx² + y² (upper) and the paraboloid z = x² +y².…

A: We need to find volume.

Q: メ +) メ +2 3. 2. メナ 3 メナ」 メト2 メ + 3

A: To find for what values of x determinant is 0.

Q: Consider the parametric curve defined by 1=3+5t and y=1+3 Over which values of doesthe curve has a…

A:

Q: Evaluate f s 2°ds О а. 2"(sin2 - 1) (In2)2 O b. 2(sln2 - 1) (In2)2 O C. 2* In2 O d. 25 In2

A:

Q: Question 18 Consider Evaluate O (9x4+6x)e (x3+y2) O (3x²+6x)e «³+y?) O (6x²+ 3x)e «³+y?) O (6r*+9x)e…

A: Topic = Derivative

Q: We are told that the sand is falling onto the pile at rate of 9 cubic feet per minute. We want to…

A:

Q: Evaluate s 2°ds Oa 2 (sln2-1) (In2)2 2" In2 Oc sin2-1) (In2)2

A:

Q: 2BVC = (12x - 24)° and mZEVD = (2x + 15. What is m2CVE ? THAM V. A D. Find the missing pieces.

A:

Q: Find the volume of the solid that results when the region enclosed by y = Vx, y = 0, and x = 81 is…

A:

Q: Consider ,- (x3+y²). Evaluate dx² O (9x4+6x)e «³+y?) O (6r²+ 3x)e (x³+y?) O (6x4+9x)e (x³+y?) O…

A: I have stated the used formulas in the solution

Q: The graph of a function f is shown below. YA f a Graph b 1. Which grap is an antiderivative of f?

A:

Q: 6.x'y 10. lim (х, у) — (0, о) 2.х* + y*

A:

Q: Find h'(x) if h(x) = x³e*sin x. O a. h'(x) = 3xe*sin x + x'e*sin x + x'e*cos x 3X, O b.h'(x) =…

A:

Q: Find y' if 4 cos x cos y = 3y. %3D

A: To find the derivative.

Q: (b) Repeat part (a) using 3 subintervals and the velocity at the midpoint of each subinterval. mi

A: answer is in next step

Q: Find the two x-intercepts of the function f and show that f'(x) = 0 at some point between the two…

A:

Q: Find the absolute extrema of the function on the closed interval. (x) = 7x2 + 1, (-1, 2] minimum (х,…

A:

Q: Vx – 8 = xy + 2

A:

Q: Consider the region bounded by the curve v= x2 – 1 and the x - axis over the interval [0,3]. Find…

A:

Q: Let f be the function defined by ƒ (x) = cos( (/T). (a) Approximate the definite integral| f(x) dx…

A: We have to find the definite integral by using midpoint riemann sum and trapezoidal rule

Q: O Evaluate the following integral using Trigonometric Substitutions Method: 1- x dx 2, y =

A:

Q: Use the appropriate Product Rule to evaluate the derivative, where ri(t) = (9t, -10, -t°),r2(t) =…

A:

Q: 3rd derivative of y sin 3x

A: Here we have to find the 3rd derivative of           y = -1/sin(3x)

Q: Find the average value of the function f(x)=e" on the interval (0,4) Da 3725 Ob 490 OC 745 Od 186 25

A:

Q: X+ 1 Evaluate lim x→1* ** - 5x +4• | O-1 OO OO

A:

Q: Find f"(-1) if Ax) = (x² -x+1)(x +1). O -1 3. O -3 9.

A:

Q: Appraximate the critical numbers of the function shown in the graph. Determine whether the function…

A:

Q: Consider Evaluate 3x)

A:

Q: Find dy for the following functions (メ+リ)+(メーツ)ニxャガ 4.

A:

Q: 02) Solve the D.E dy - (2x/1-y2)dx 0

A: The given differential equation is dy-2x1-y2dx=0

Q: Given that x=t3+t and y=3/2t4+t2, find dy/dx, d2y/dx2, d3y/dx3

A:

Q: Describe the largest set S on which it is correct to say that f is continuous хx* + ху — 5 а. f(х,…

A:

Q: 3. The radius of a spherical balloon is increasing at the rate of 2 cm per minute. How fast is the…

A:

Q: Q2) Solve the D.E x²dy + (3xy- 1)dx 0 %3D

A:

Q: Q3) Evaluate triple integral y(x2 -y?)dz dx dy.

A:

Q: Consider a continuous function f(x). The function has critical points at x = -7, x = -2, and x = 7.…

A: f(x) has critical points at x=-7 , -2 , 7Since f''(-7), f''(-2) is positive ⇒There is local minimum…

Q: The limit represents a derivative f' (a). Determine f(x) and a. 14h lim 1 h→0 (Express numbers in…

A:

Q: Find the derivative of f(x)= (In x O a. 6x(In x) O b. 24(In xỷ c. 24 In x O d. 12(In x)

A:

Q: Descibe the level curves of the surface f(x.y)=x-4y. O a Hyperbolas Ob.Parabolas Oc Crdes Od Elipes

A:

Q: nsider Evaluate дхду

A: Given,             z=ex3+y2To find : Evaluate ∂2z∂x∂y

Q: Supply the missing steps on equation below x•dy (x² + y² ³/2 Hol 2a B 47 xVx² +a² -a

A:

Q: (a) P, : 6x – 3y – 7z – 2 = 0 P2: - 36x + 18y + 42z – 5 = (0 O Parallel O Perpendicular O Neither…

A: topic - vectors

Q: Approximate the critical numbers of the function shown in the graph. Determine whether the function…

A: Explained below

Q: 9. (D² – 2D + 5)²y = 0 10. (D² – 2D – 3)y = 0 when x = 0, y = 0, y' = –4 %3D -

A: We will solve auxiliary equation then we will find the solution.

Q: Find if yvx – 8 = xy + 2.

A:

Q: Find an equation of the sphere whose diameter is the line segment having endpoints at (6,2, –5)

A: To find the equation of sphere.

Q: x² + 2y? + 3z² 18. lim (x, y, 2) →(0, 0, 0) x² + y² + z?

A: We have to find the limit by two ways method