From Rogawski ET 2e section 10.2, exercise 12. Write S = E 1 as a telescoping series and find its sum. n(n–1) n=7 SN = -1/n+(1/n-1)

Q: Let a - ci +j and b- 9i + 12j. Find c so that the a %3D Round your answers to four decimal places…

A: Use dot product

Q: A particular computing company finds that its weekly profit, in dollars, from the production and…

A: Since multiple subparts are asked, I am answering first 3 subparts. Here we will use first…

Q: Evaluate the double integral over the rectangular region R. 9xy*dA; R = {(x, y): – 1 < x < 1, - 5 <…

A:

Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx2 + y² + z2 (5,…

A: I have calculated upto eq (1) above because it is easy to calculate max value from there. You do…

Q: Find the general antiderivative F(x) + C for the function. 126+ 3x+ f(x) = x3 O 3x4 +x2 + C 3x* +x +…

A:

Q: Find the absolute maximum and absolute minimum values of the function, if they exist, over the…

A:

Q: 11 of the distance from which it 12 A Super Happy Fun Ball is dropped from a height of 5 feet and…

A: This is a problem related to sequence and series. Based on the general formula and concepts we will…

Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…

A: Given:  To find: Area of the triangle.

Q: Use a double integral in polar coordinates to find the volume V of the solid bounded by the graphs…

A:

Q: a. Intermediate-Value Theorem from Intermediate-Zero Theorem? D. Right-Hand Continuity from…

A:

Q: Sketch the region R of integration and switch the order of integration. f(x, y) dx dy 5- 5- 3 2- 1 3…

A:

Q: A projectile is fired vertically upward with an initial velocity of 64 ft/s from an initial height…

A:

Q: Find the inverse Laplace transforms of the functions: 3 (a) F(s) s4 1 (b) F(s) (c) F(s) = s+5 3s+1…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: A rectangular frame needs to have an opening of 21 square inches. The boards used to create the…

A:

Q: Preview Activity 1.3.1. Suppose that f is the function given by the graph below and that a and a + h…

A: Use slope formula for finding the value .

Q: Find the area of the parallelogram that has u = 2i – 2j +k and v = j+ 3k as adjacent sides. NOTE:…

A:

Q: y a+h Figure 1.3.2: Plot of y = f(x) for Preview Activity 1.3.1. b. Construct a right triangle whose…

A:

Q: Express the given parametric equations of a line using bracket notation and also using i, j. k…

A: Let's find.

Q: 8. Find the dimensions of the rectangular box, open at the top, which has a maximum volume if…

A: Given surface area is 18 square feet.

Q: Find the curl of the vector field F = (4x sin(y), 7y cos(x)). curl F - Dretieur

A:

Q: dz (b) Determine the by using the Chain rule with the following information: ds 2 X = - s2 2 7 z =…

A:

Q: (A) Find the dimensions of a rectangular box with square ends that satisfies the delivery service's…

A:

Q: Find the length of curve y In (secx) from x=0 to x=

A: See the answer below

Q: d d. Calculate ri(t) · r2(t)] and x r2(t)] first by differentiating dt dt the product directly and…

A: This is a problem related to cross and dot product of the derivative function. Please find the…

Q: Set up a double integral to find the volume of the solid region bounded by the graphs of the…

A:

Q: Use the derivative to find the exact critical points and intervals of increase and decrease for f(x)…

A: 1. Local maximums and local minimum values2. fx=4x3-21x2-24x+5

Q: Find the derivative f (x) = e3x+ x (csc x + sec x)² %3D

A: Using product rule of Differentiation we find the derivative of given function.

Q: Find the directional derivative of f(x, y) 12x at P(4,0) in the x + y direction of Q(1,–1). NOTE:…

A:

Q: (a) Find an equation of the tangent line to the curve y 14x sin(x) at the point (x/2, 7n). y = (b)…

A: a) y=14xsin(x)Differentiatey'=14sin(x)+14xcosxSubstitute x=π2y'=14sinπ2+14π2cosπ2y'=14+0y'=14Slope…

Q: Suppose F is an antiderivative of f(x) = VT. If F(0) 1 then F(1) 4 %3D %3D is 3 A. –1, B. -, C. 0,…

A: Let f be a function . Suppose F is a function such that  F'(x) =f(x) then F is an antiderivative of…

Q: In(k) Does the series ) (- 1)* E(- 1)* k2 + 4 converge absolutely, converge conditionally or…

A:

Q: Two airplanes leave an airport at the same time. An hour later, the planes are 229 km apart. If one…

A:

Q: Provide an appropriate response. Consider this graph. a b. de x Using the graph and the intervals…

A: Here is the solution

Q: Given that the graph of f(x) passes through the point (4, 3) and that the slope of its tangent line…

A: topic - functions

Q: Use the comparison test to verify that the following series converges: 1 Σ n =15+n4

A:

Q: For the functions f(x) = xeX %3D 1. The minimum value of the function occurs when x = 2. A point of…

A:

Q: A clothing company determines that its marginal cost, in dollars per dress, is given by the function…

A: Here we will find the cost of producing 201st through 260th dress,

Q: Find all values of x where tangent lines to y = x° and y = x' are parallel. (Give your answer in the…

A:

Q: Solve the following problems. Зху 1. Given that f(x,y, z) = e*' cos(yz). Find f , fw frvi: xyz ху

A:

Q: Answer 2 only

A: Solved below

Q: 5. Use differentials to find the approximate value of [(5. 99)² + (8. 03)²+ (4. 98)]' decimal…

A:

Q: The base of a three-dimensional figure is bound by the circle x² + y? = 9. Vertical cross sections…

A:

Q: Σ xn + 6 In n n = 2

A:

Q: Find the equation of the tangent line to y = 7et at x = 3. (Use symbolic notation and fractions…

A:

Q: a, given that the line ax+y+1 = 0 is tangent to the grapl

A: We have to find the value of a according to the given information

Q: Find Duf at P. 2 f(x, y, z) = 6x³y°z°; P(2, – 2, 2); u = ;i + -k

A:

Q: ii, Calculate the volume and surface area of a solid cylinder 1.5 m diameter and 2.5 m tall.

A:

Q: f(t) = t.e-8t + 4 t.e-3.cos(2t) + (t².e-2t) ,t>0

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: A coffee company has found that the marginal cost, in dollars per pound, of the coffee it roasts is…

A: We have to find the total cost.

Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…

A: Here is the solution.