23) (-4,-24) 30- 20+ 10+ to.p -10+ -20- f(x) = x3 + x² - 6x -30 (3, 18) 2 Find the area enclosed by the given curves. g(x) = 6x X

Q: Let F=-yi+xj and let C be a curve consists of the line segment C₁ from (0,0) to (4,0) followed by…

A:

Q: Use the substitution formula to evaluate the integral. fin-√3/22 c2x dx 1 + e4x 28) 0

A:

Q: Find the limit. Use l'Hôpital's Rule if appropriate. To enter ∞, type infinity with a lower case i.…

A:

Q: Find the volume of the solid that results by revolving the region enclosed by the curves y=4-2r²,…

A:

Q: A company manufactures mountain bikes. The research department produced the marginal cost function X…

A: We can solve this as follows:

Q: LINEAR DE: FIND THE INTEGRAL FACTOR AND THE GENERAL SOLUTION

A: This question can be solved using the concept of linear differential equation.

Q: Solve the triangle, if possible. A 14 33° 22 B *** Select the correct choice below and, if…

A:

Q: Graph the equation r= 6 + cos 0. Use a graphing utility to check your work and produce a final…

A: Explained below

Q: 15. Use a suitable change of variables to determine the indefinite integral. [1²cos² (1³) sin(1³)dt

A:

Q: Suppose a certain baseball diamond is a square 70 feet on a side. The pitching rubber is located…

A:

Q: Use the shell method to find the volume of the solid generated by revolving the shaded region about…

A:

Q: Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile…

A:

Q: the complete solution. Kindly, include the necessary table of values. 7. A body at a temperature of…

A:

Q: Evaluate the integral. esin−1 3x √1-9x² 32) dx

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min.…

A: We will find the required.

Q: y = 3x-2x²+x-5; y""

A:

Q: ) Consider the function h(r) What are the inflection points of h(r)? On what x 5 intervals is h(r)…

A: We will find the required.

Q: =ind. SE S 25453

A: Let's find inverse laplace of given function.

Q: Question 5 Evaluate the integral and choose the correct answer. Sx [x²1 01 x² ln x dx 01 1 ³x³ + C 3…

A: Evaluate the integral of the function x2lnx w.r.t. x

Q: The area of a square is decreasing at a rate of 49 square inches per second. At the time when the…

A:

Q: cos^2(2x) - sin^2(2x)=0. Is it a identity and how can you tell.

A:

Q: Evaluate the triple integral: π/2 2 S*S*¹² S² π/2 O 0 12p sin cos 0 dp do do

A: Given that a triple integration and we solve this integration by using general property of…

Q: Question 3 In changing variables to cylindrical coordinates, the dV in JO f(x, y, z) dV becomes p dz…

A:

Q: Find the area enclosed by the given curves. TU TU 26) y = sin x, y = csc 2 x, ≤x≤ 3 2 27) Find the…

A:

Q: 10. For the position function s=313-72-2t,t> 0, choose the correct answer for 1=2. a) Is s…

A:

Q: dr Let A be the area of a circle with radius r. If dt 5, find dA dt when r = 4.

A: We will find the required.

Q: y = 1/√x; y(iv)

A:

Q: Use a graphing utility to complete the table and estimate the limit as x approaches Infinity. Then…

A: Solution: f(x)=x2-xx(x-1)

Q: Consider the function f(x) = 12x³ + 60x¹100x³ +5. For this function there are four important…

A: Here we have to find the extrema.

Q: y = 14. If u +4 u-4 and U= √x + x 10 dy , find dx when x=4.

A: This question can be solved using the concept of derivatives.

Q: Graph the equation r2=81 sin (20). Use a graphing utility to check your work and produce a final…

A: Solution: Using the formula r2 = a2 sin(2θ), where a≠0 graph the lemniscater2=81sin(2θ)

Q: A fence 5 feet tall runs parallel to a tall building at a distance of 2 feet from the building. the…

A:

Q: Find the area of the following region. The region inside the inner loop of the limaçon r=4-8 cos 0

A:

Q: . For what value(s) of x is the tangent to y = 5 (3x-12)4 horizontal? A) -103, 680 B) -4 C) 4 D)…

A:

Q: Tit - 6 [~ (10 - π)_¸ ¯-¡(10mt-1/n) e e 2j x(t)=2 -√ √(10 x (1) = −j/e 1 m² - 7 m)_ - (10 m²- :-) t-…

A: Given Xt=-jej10πt.e-j6π-e-j10πt.ej6π

Q: A fence 6 feet tall runs parallel to a tall building at a distance of 2 ft from the building as…

A:

Q: What is the difference between net area and total area from the curve to the x axis? What is the…

A: answer is in next step. please give a like!!

Q: The derivative of the function f is defined by ƒ'(x) = (x² + 2) sin (2x − 2) . If ƒ (2) = 7, what is…

A: The derivative of the function f is defined by f'x=x2+2sin2x-2 and f2=7

Q: Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile…

A: Here we will find dh/dt,

Q: Evaluate the following integral using trigonometric substitution. √√2 S SO 0 √49-x dx What…

A:

Q: xydx - (x^2+3y^2)dy =0 Solve for general solution .(show complete solution)

A: Given, xy dx - (x2+3y2) dy =0

Q: 48. Using Properties Integrals Given 1 [*f(x) dx = 5, evaluate a. [ƒ(z) dz f(x) b. [1(x) dx - [1(a)…

A:

Q: Determine if the expression is meaningful. If it is, state whether the expression represents a…

A: The expression is given by ∇×∇×F To determine: Whether the expression is a vector field or a vector…

Q: 3 volume? A cylinder is inscribed in a right circular cone of height 3 and radius (at the base)…

A:

Q: Express the given quantity as a function f(x) of one variable x. The product of two numbers x and y…

A:

Q: 13) Graph if f(x) = x when x = -1,2,4, or 8; f'(x) = 0 if x = -1,2,4, or 8; f'(x) 0 throughout…

A:

Q: Find each limit, if it exists. (a) Ilm (b) lim (c) Ilm +8

A:

Q: [x = t - 1 Q.1 Verify that the lines L₁ y=1-t lz=1-t and find the distance between them. and [x = 2t…

A:

Q: 2. Find the interval of convergence for the series. n=1 (x - 7) n n5n

A:

Q: 9x |_the_r-ne S 9x - - 9xdx

A: