Find the demand function p, given the marginal-revenue function dr/dq below. dr = 245-3q-0.99 bp p= (Simplify your answer. Do not factor.)

Q: Use the Ratio Test to determine whether the series is convergent or divergent. Š (-7)" n2 00 n = 1…

A: ∑n=1∞-7nn2 Here an=-7nn2 and  an+1=-7n+1(n+1)2 limn→∞an+1an=limn→∞-7n+1(n+1)2-7nn2…

Q: Suppose that 4 J of work is needed to stretch a spring from its natural length of 24 cm to a length…

A:

Q: The linear approximation at z = 0 to sin(8x) is A + Bx where A is: %3D and where Bis:

A: Given : The linear approximation at x=0 to sin(8x) is Ax + B   To Find : Value of A and B

Q: Show that the following functions satisfy Laplace's equation 0. dy? %3D (a) f(r, y) = r*y – xy³

A:

Q: x2 C. y=- ,2 х*+2х-15

A: c.) y=x2x2+2x-15Differentiating w.r.t xy'=x2+2x-152x -…

Q: 5) Find the value of the infinite geometric series. a) 500 - 100 + 20- 4+...

A:

Q: 78 7 -1 V7x +3 dx =

A:

Q: Calculate Ls for on the interval

A:

Q: onvert (-1, v3

A: Given point (-1, 3)

Q: 4. Find 2+1dt O V4x+1 O V16x? +1+v2 O 4/16x? +1 O V16x? +1

A:

Q: g(x)dx% = %3D (Simplify your answer.

A:

Q: Find the equation of the tangent line for f (x) = 2 sec(z) at z = 6

A: To find out the equation of tangent line.

Q: Approximate the area under the curve graphed below from a = 3 to x = 8 using a Left Endpoint…

A:

Q: Find the value of k so that the given function f is continuous at x=1,where [2+ kx x 1 c) 1 d) 12

A: The given function is: f(x)=2+kx, x≤15+3x, x>1

Q: Solve the system, or show that it has no = is any real number.) +X- -y = 5

A: Given system of equation 34x+12y=5     . . (1) -14x-32y=1   .. (2)

Q: 2 4-x Find the area in the first quadrant bounded by the coordinate axes and the graph of y = 5 The…

A:

Q: Find the radius of convergence, R, of the series. 00 (x - 5)" n = 1 R 3= Find the interval, I, of…

A:

Q: Calculate 5x*dx, given the following. Pdx= 93 (Type an integer or a simplified fraction.)

A: We need to evaluate integral.

Q: 1.) Evaluate: (x* + 3x³ + 1)dx 2.) Evaluate: (1++) dx 3.) Evaluate: () dt

A:

Q: 2. cos x dx - 67

A:

Q: Write sigma notation. 5-25 + 125 - 625 +3125- 15625 The sigma notation is k = 1

A:

Q: 2) Find the sum of the first 100 terms of the arithmetic sequence: 2, 4, 6, 8, 10, 12, ...

A: The arithmetic sequence: 2,4,6,8,10,12,.......

Q: Calculate the (f(g(x)))' and (g(f(x)))' derivatives if f(x) = x* 1 g(x) = 4x + 1 (Express numbers in…

A:

Q: Find the area of the region bounded by the graph of f and the xX-axis on the given interval. f(x)…

A:

Q: question

A: We will solve the second problem.

Q: Evaluate the sum. Σ (-2) k 2 k=2

A:

Q: Find the function F that satisfies the following differential equations and initial conditions.…

A: We will find the function.

Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

A:

Q: A construction worker pulls a five-meter plank up the side of a building under construction by means…

A: Explained below

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: Suppose that F(x) = /. f(1) dt, where V6 +u du. f(t) =

A: Given F(x)=∫1x f(t) dt where f(t)=∫1t4 6+u5u du

Q: Find the general solution: 9y" + 12y' + 4y = 0. 5.

A:

Q: A region is enclosed by the equations below. y = 2?, a = 3, y = 0 Find the volume of the solid…

A: We can solve this as follows:

Q: 1 18 6 The sum is (Type an integer or a simplified fraction.) 1/2 1/6

A: Topic:- sequence and series

Q: C(0, 1) B(1, 1) y = Vx R2 R3 y=x A(1, 0) Referring to the figure above, find the volume generated by…

A:

Q: Find the radius of convergence, R, of the series. 2 n!(2x – 1)n n = 1 R = Find the interval, I, of…

A:

Q: Find the most general antiderivative of f(x) = –6 – 4x³ – 5x³ + 6x" . %3D |

A:

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

A: Given query is to find the derivative if the expression.

Q: Sketch the region that is bounded by y = 8 - x² and y = 2 – x. Then, find the coordinates of the…

A:

Q: Express the integrand as a sum of partial fractions and evaluate the integral. 9 y dy 6 У - 2у - 3…

A:

Q: | 13t – 41° + 4 dt = +C.

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

Q: Find the indefinite integral. Hint: Let u = 3 - Vx. (Remember the constant of integration. Remember…

A:

Q: Complete the table. (Use C for the constant of integration.) Original Integral Rewrite Integrate…

A:

Q: Find tan 0. N39 A) tan 0 = 539 8/39 B) tan 0= 39 C) tan 0 D) tan 0 = 39 5/8

A:

Q: The future value at 5.25% interest, compounded continuously for 7 years, of the continuous income…

A:

Q: Identify the graph of the curve by first sketching the graph of r as a func Cartesian coordinates. r…

A: r=2-2cos(θ)

Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

A:

Q: answer

A: We will find the particular solution.

Q: Consider the following. 2 f(x) = -x2 + 4 Find the x-values at which f is not continuous. Which of…

A:

Q: For the given functions, find (fo g)(x) and (go f)(x) and the domain of each. 1(x) = 9(x) = 1-8x

A: