3. sin² 3xdx

Q: M3.2. d. A cadet engineer determines that when x hundreds of units of a particular commodity are…

A:

Q: A roast turkey is removed from an oven when its temperature has reached 185°F and is placed on a…

A:

Q: The volume of a box is 10x3 + 27x2 + 2x - 24 with the length 5x - 4 and the width 2x + 3. Find the…

A:

Q: The volume of a cube with sides of length s is given by V = s³. Find the rate of change of the…

A:

Q: 7. g(x) = In (x₂²x)

A: To differentiate the given function.

Q: A sled is pulled along a level path through snow by a rope. A 30-lb force acting at an angle of 40°…

A: Work done by a force F unit acting at an angle x°, creating displacement of y unit is given by,…

Q: Axe - N 6x²

A: Given Function:- y=Axe-6x2

Q: Kindly help me solve this question,show full and clean solution thank you.. Note: Lesson about…

A:

Q: Calculate Dot Product (2, 4, 5) and 6 Let a = Find a . b. (5, — 1, — 5).

A:

Q: A rectangular poster is to contain 162 square centimeters of print. The margins at the top and…

A:

Q: The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing (in…

A:

Q: Find the integrating factor (3x²y-x²) dx + dy=0 Select one: 0 а. ex O b. O C. e-x² Od era O e.

A:

Q: Solve for the particular solution: 4e-3x-2 y' e -6x +3e-3x+2 ; y (0) = 1

A:

Q: A Ferris wheel with a radius of 13 m is rotating at a rate of one revolution every two minutes.…

A: The given data is: A Ferris wheel with a radius r=13 m is rotating at a rate of one revolution every…

Q: dr Solver +rsece = cose Select one: O a r= O b. r= O c r Od r O e r= 20 - cose + c seco - tane 0 +…

A:

Q: 3. fxe (4-x²) dx

A: ∫ xe4-x2dx

Q: Write Equations of a Plane in Space Find the equation of a plane through the points (1, 2, — 7), ( –…

A: The objective of the question is determine the equation of the plane.

Q: The following integral represents the volume of a solid of revolution. Describe the solid. =[^y₁ The…

A: Given :- Volume of solid=π∫04ydy

Q: If √x + √y = 12 and y(1) = 121, find y'(1) by implicit differentiation. 11- X

A:

Q: Problem 4. Find the area bounded by the curves y = e, y = e³x and the line x = 1.

A:

Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region…

A: Graph:-

Q: Show that the triangle with vertices A, B, and C is a right triangle. d(A, B)2 d(A, C)2 + d(B, C)² =…

A: Topic - Pythagoras theorem and area of a triangle We are given, three points on a triangle as…

Q: 018 Find the area of the region bounded by the polar curve r = 2e-0 as well as the rays 0 = 0 and 0…

A:

Q: Consider following ODES: 1)4y" +12y' +13y=0,2 a) Find characteristic equation ar

A:

Q: Consider f(x) = 5x + 4 and g(x) = x² + 4x − 21. • You must combine all like terms before you submit…

A: Since, you have posted multiple questions, as per guidelines we"ll solve only first three parts. If…

Q: y = 7 cos(x), y = 7 − 7 cos(x), 0 ≤ x ≤ π

A: Given y=7cosx, y=7-7cosx, 0≤x≤π

Q: 25. If a and h are real numbers, find the following values for the given function. The function is…

A: The numbers a and h are real numbers. The function is f(x)=x2-x+1

Q: Let f(x) = 5x + 4 and g(x) = 1 x² 12x + 32 — • You must combine all like terms before you submit…

A:

Q: 3. a) For what values of p is the integral cl sin b) In th x(In x)P da convergent?

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 2. In a. and b. (below), show that y₁() satisfies the given differential equation. Then, use the…

A:

Q: what is the derivative of the inner function?

A: We have to tell the derivative of inner function

Q: Find Distance and Equations in R³ Write an equation for a sphere centered at the point (6,-4,-8)…

A: Need to find out the equation of sphere with the given center and radius.

Q: 3. The population of Sometown was 12,000 in 2000 and grew to 15,000 in 2010. Assume that the popu-…

A:

Q: b) For each of the following, let A and B be some sets, both subsets of universal set U = {x|x is an…

A: Please see the below picture for detailed solution.

Q: H..W. solve the following equc.t.i.9.1.2........ 2 y .................

A: To solve the following differential equation.x dy=y2-3y+2 dx

Q: Calculate the partial derivatives of a function of two variables. Given f(z, y) = 10 + 4y + 7zy,…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Determine the equation of a plane tangent to a given surface at a point. Find the tangent plane to…

A: The given equation is  z=4ycos(2x-5y) at (5, 2, 8) Find the equation of tangent plane.

Q: This is incorrect. Please resolve.. UPVOTE WILL BE GIVEN

A: The given answer is not incorrect it is just incomplete. Will be providing the complete solution in…

Q: Sketch the region enclosed by the given curves. Draw the approximating rectangle, label its height…

A:

Q: Consider the following function. f(x) = 5x³+ 15x + 7 (a) Find the critical numbers of f. (Enter your…

A:

Q: Solve (y + 2xy³) dx + (1 + 3x²y² + x)dy = 0. Select one: O a. xy³ + x³y² + y = c O b. xy + x³y² + y…

A:

Q: A farmer has 100 feet of fence with which he plans to enclose a rectangular pen along one side of…

A: Given query is to find the dimenyfor maximum area.

Q: 2 y=5 + x3

A:

Q: Find the directional derivative of f(x, y) = √xy at P(7, 7) in the direction from P to Q(3, 4). Duf…

A:

Q: Write the equation: Vertical asymptote at x = −1, double zero at x = 2, y-intercept at (0, 2)

A:

Q: Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) =…

A: Given vector:- rt=2ti+etj+e-tk

Q: Find three positive numbers whose product is 86 such that the sum of their squares is as small as…

A: Let the three numbers be x, y and z. x + y + z = 86 -----(1) ⇒ z = 86 - x - y ------(2) Product, P =…

Q: Find the cross product axb 6=(-4,3-5) Where a= (-3, -5,0) and (483 axb = <D₁ 0₁ 02

A:

Q: Scientists can determine the age of ancient objects by the method of radiocarbon dating. The…

A: given half life thalf life = 5730 years      law of decay x = x0e-ktk = constant x = radioactivity…

Q: If f(x) = 2x² - 3x + 6, find f'(5). Use this to find the equation of the tangent line to the…

A: NOTE: Refresh your page if you can't see any equations. . take derivative