Evaluate the following definite integral. 4 7y S -1 у-зу-10 2 Find the partial fraction decomposition of the integrand. dy 4 7y S dy = f -₁ y²-3y-10 -1 4 S 4 JO SO dy - 1 Evaluate the definite integral. 7y dy = 2 1 Y-3y-10 (Type an exact answer.)

Q: Question 1 Nondifferentiable graph.png Find the x-values (there are three values) from the graph,…

A:

Q: U Find the point on the line -3x + 3y - 3=0 which is closest to the point (-2,-2). Answer is

A: Line equation is -3x+3y-3=0 The point is (-2,-2) The point on the line which is closest to this…

Q: Bottom of the page is cut off i cannot see the solution.

A:

Q: fin(1 + √x dx

A:

Q: An object is moving on a horizontal line such that its acceleration at anytime t is given by…

A:

Q: 2. Find from first principle the derivative with respect to x of the function f(x)= Inx.

A:

Q: A constant vector field F(x, y, z) = ai + bj + ck is a gradient vector field. True O False

A:

Q: The surfaces p = 3 and 5, p = 100° and 130°, and z = 3 and 4.5 identify a closed surface. (a) Find…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

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

A:

Q: simplify the function before differentiating f(x)= 1/square root e exponent 9x

A: Topic = Differentiate

Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of f(x) = 6x + 15 between x =…

A: The area under the curve of function f(x) = 6x + 15 between x = 4 and x = 7 is given by,…

Q: If f(x) = 3x² - 6x + 7, find f'(2). Use this to find the linear approximation to f(x) at x = 2. The…

A:

Q: Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand…

A:

Q: Find the derivative of the function g(x) g'(x) = ex + 3xe (2+3x)² = x| X et 2 + 3x

A:

Q: Find the sum of u + v, given that |u| = 29, |v|= 27, and 0=21°, where 0 is the angle between u and…

A:

Q: Approximate the area under the curve y = x² from x = 1 to x = 3 using a Right Endpoint approximation…

A:

Q: sinx cosx 4 + sin4 x dx

A: The given integral is sinx cosx/(4+sin4x).

Q: (b) Determine whether the series Σ n=1 5n cos(3n) 2en converges or diverges.

A:

Q: Find the exact sum of the following series 및 ㅠ 23 O1 O v2 √3 2 ∞ 우 (-1)" (#)2n+1 32n 3 (2n+1)! n=0

A: Concept: For sin(x), the Maclaurin series expansion is given by:…

Q: Suppose that f(x) is a continuous function on the interval [0, π]. If f(x)=(sin x)² for 0<x<, then…

A: Since the f(x) is continuous function in [0, π], therefore the value of function at x = 0 must equal…

Q: Let y = (x + sin(x))5. Find g(x) and f(x) so that y = (fog)(x), and compute the derivative using the…

A:

Q: If f(x) = 7x² f'(2) = f''(x) = f''(2) = 8e, find:

A: The given function is fx=7x2-8ex

Q: Show that the average value of sin^2t over [0,2pi] is equal to 1/2. Without further calculation…

A:

Q: Evaluate the interated integral: LS-² x² sin(y) dy dx

A:

Q: da Find at z = 4 if y = 4z² - 1 and dt da dt 11 > Next Question dy dt = -5. 11

A:

Q: A company that produces cell phones has a cost function of C = 112² - 244x + 12581, where C is the…

A: The cost function is given as: C=11x2-244x+12851   We know that, at the minimum value, the…

Q: Given the following functions: f(u) = tan(u) and g(x) = x7. Find: f(g(x)) = f'(u) = f'(g(x)) = g'(x)…

A:

Q: Find the number(s) b such that the average value of on the interval [0, b] is equal to 6. f(x) = 6x²…

A:

Q: Find limit of lim x-->0 of f(x)= (e3x-3x-1)/(4x^2

A: Given limx→0e3x-3x-14x2

Q: Find the right match for the following ODEs in the dropdown menu y' = y" JS sin(x) 5xy' = y - 3x²y"…

A: This is a problem related to differential equation. Please find the answer as below.

Q: = solve (y² + 2y² + ay +18) dx. (5x³y²-x²y + 17x²) dy

A:

Q: 1. Let S be the triangular region in R3³ with vertices at (2,0,0), (0,6,0), and (0,0,3) with upward…

A: we know that triangular  region is part of plane since all the vertices  ( 2, 0,0)  , ( 0, 6, 0)…

Q: 4) Find the point(s) of inflection f(x)=(sinx)(e*)

A:

Q: Sketch the region R whose area is given by the iterated integral below. Then change the order of…

A:

Q: Find da d.t da dt at x = 4 if y = 4x² – 1 and > Next Question dy dt = - 5.

A:

Q: Find the solution of the given differential equation. dx 1 y²-6y+13 dy = 0 Express your answer…

A:

Q: Two cars are moving towards an intersection. One car is 200 meters north of the intersection and…

A:

Q: y = 3x-2x²+x-5; y""

A:

Q: Find the definite integral that will compute for the volume of the solid when the region bounded by…

A: To find the definite integral that will compute the volume of the solid. Given information: The…

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: To find the absolute maximum and minimum values of the function over the indicated interval, and to…

Q: What region R in the ry-plane minimizes the value of the following expression? f (x² + y² - 9) dA R…

A: The given double integral ∫∫Rx2+y2-9dA we have to find the region R on the  xy-plane that minimize…

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

A:

Q: In changing variables to spherical coordinates, the dV in J f(x, y, z) dV becomes p² cos o dp do do.

A:

Q: The area of a circle is increasing at a constant rate of 88 square meters per second. At the instant…

A: The answer is given below:

Q: Find the indicated midpoint rule approximation to the followin S 4 sin (x) dx using n = 6…

A: The Midpoint Rule: ∫abfxdx=∆xfx0+x12+fx1+x22+fx2+x32+...+fxn-2+xn-12+fxn-1+xn2 Where, ∆x=step…

Q: 4 3 2 14 -1 -2- -3- -4 T/2 Find lim f(x) = The graph of the function f(x) = = tan x is given above…

A:

Q: Match equation question type with a graph - y= Ⓒy= + Ⓒy= y= x-A x-B x-A (x-B)² (x - A)² x-B (x - A)²…

A: Given data:- In the given question four different equations will be given and find out which graph…

Q: An airplane has an airspeed of 410 kilometers per hour bearing N45°E. The wind velocity is 70…

A: Given 1. Air speed of airplane Vap=410 KMPH in N45°E 2. Wind speed  Vw=70 KMPH in N30°W

Q: Question Find the change in volume dV if a circular cylinder with radius r = 8 changes height from 7…

A:

Q: If // f(x,y) dA > 0. then f(x, y) ≥ 0 for all (x, y) in D. D

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