For the given cost function C(x) 22500 + 600x + x², First, find the average cost function. Use it to find: a) The production level that will minimize the average cost T%3D b) The minimal average cost

Q: Determine whether the geometric series is convergent or divergent. n=1 convergent divergent If it is…

A:

Q: * This matrix is a 0 4 0 4 4 0 0 zero matrix square matrix diagional matrix unit matrix O

A:

Q: Use a graph of the sequence to decide whether the sequence is convergent or divergent. If the…

A:

Q: xdy+ydx=xcasx-dx-

A: According to the company rule we can answer only first question and rest can be reposted.

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

A: We will find the rate of change of volume.

Q: B. Integrate the following using the basic rules of integration and substitution. 1. fx² + 5x3 –x-3…

A: Given problem:-

Q: 2 – 7x dz 23 Evaluate the definite integral:

A:

Q: Step 4 Since u = 6 – 4x, then converting back to an expression in x we get the following. (Remember…

A:

Q: Evaluate the definite integral. NOTE: Enter the exact answer.

A: Given problem:-

Q: Ballast Dropped from a Balloon A ballast is dropped from a stationary hot-air balloon that is…

A: Given query is to find the height of the blast after t time and the time when it will hit the…

Q: A farmer finds that if she plants 50 trees per acre, each tree will yield 55 bushels of fruit. She…

A: It is given that, If a farmer plants 50 trees per acre, each tree will yield 55 bushels of fruits.…

Q: r= -2 i+tj+(t2-1) k

A:

Q: 6. Use the definition of the definite integral to evaluate (x - 4) dx. in f(x)dx = lim f(x AX A→0…

A:

Q: (6) In the interval 0 <x< 2n, the solutions of the equation tan? (x) = tan(x) are? (A) "/4 (B) "/4,…

A:

Q: Find the limit. Use l'Hospital's rule if appropriate. If there is a more elementary method, consider…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: For the given points A, B, and C find the area of the triangle with vertices A, B, and C. A(4,7,2),…

A:

Q: 52.8706e-0.3277t h'(t) - (1 + 2.449e-0.327M;2 hes/year, where the child's height h(t) is measured in…

A: Given :

Q: 1. The position of a particle is given by the function s(t) = t* – 32t where t is measured in…

A:

Q: Please

A:

Q: Consider the function f(t) = 3 and real number a = - 4. y= fn a. Find and graph the area function…

A:

Q: dy 16t dt

A: answer is in next step

Q: Draw the region R both in the x − y plane and in the u − v plane. 2. Invert the system writing the…

A:

Q: 18. Find a geometric power series for f (x) 3 centered about x = 2. Write the first four terms. 7-2x

A: Let's find.

Q: Find the slope of the graph of the function y = 2x at (2,2) Then find an equation of the line…

A: We need to find slope and equation of tangent line.

Q: b) The sum of the first 15 terms of the sequences 7,-14, 28, –56, 112,..

A: We have to find out sum of 15 terms

Q: 2. Write the given (total) area as an integral a. The area above the x axis and below y = 4-x2 Ne -…

A: Since, the student has mentioned to solve only question number 2, so we are solving accordingly only…

Q: Use a change of variables to evaluate the following definite integral. dx Determine a change of…

A:

Q: Q21 - In simpson's 1/3rule the intervals must be b) odd c) non of them 3 [2 13 -61 A=2, 2= -2 b) =2,…

A:

Q: If I + Vy = 8 and y(4) = 36, find y' (4) by implicit differentiation.

A:

Q: Calculate the indefinite integral: 2x* + 3ī + da

A:

Q: 2. Convert (-V3,) to rectangular form.

A:

Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs x = y and x =…

A:

Q: šin(3x) Find the area bounded by the curve y = ,0 <x<T/3 and the line y = 0 as shown 2+cos(3x) in…

A: This question can be solved using the concept of area under curve.

Q: Find the derivative. dx dx

A:

Q: Find the length of the curve y = xVa 0 <x < 1.

A:

Q: 2. If f(2, u) dA 10, where D is the triangle with vertices (0, 0), (2,0), and (2, 3), then the…

A: To find the average value of the given double integral.

Q: ind the slope of the tangent line to the curve y = V4x – 3 at the point (13, 7).

A:

Q: 2000 A television camera at ground level is 2000 feet away from the launching pad of a space rocket…

A:

Q: 1. Let f(x) = - sin(2x) and g(x) = cos(x). %3D (a) Find the amplitude and period for f(x) and g(x)…

A: f(x)=-sin(2x)-1≤sin(x)≤1-1≤-sin(2x)≤1Amplitude of f(x) is 1.g(x)=cos(x)-1≤cos(x)≤1Amplitude of g(x)…

Q: O Use polar coordinates to evaluate the integral V2² + y²dxdy. -V9-y2 got sdi wolod bas sitt od

A:

Q: Solve the differential equation: xy' – y = 2x Inx 1.

A:

Q: Let u = (3,-2), v = (-2,5), and w = (0,1). Express 10u-4v+w in the form (a,b). 10u-4v+ w= (Simplify…

A:

Q: 1 E=1(-1)"+1 4 absolutely converges, conditionally converges or 13. Determine if diverges.

A: To find the convergence and divergence of the series

Q: Given that lim f(x) = 0 x-a lim g(x) = 0 lim h(x) = 1 xa lim p(x) = 0 lim q(x) = 00, xa evaluate if…

A:

Q: Determine whether converges or diverges. If it converges, find the sum. Paragraph U - Ay + v ...…

A: We have to find out sum

Q: cot(x) – cot(a) lim where a + na. е. x - a 10 f. lim +- n00

A:

Q: 1. ř (t) = (3 – 4t) i + 6t j- (9 + 2t) from –6 < t<8. %3D

A:

Q: Find the third derivative of the function f(x)=8x^7/2. Simplify so there are no negative or…

A:

Q: Find the derivative of the given function. dx %3D

A:

Q: Evaluate: * dx re+1 5.) X-

A: Find your answer below