7. The distance in feet a ball has rolled after t seconds is given by the function f(t) = √t (a) Find its average velocity over the time interval from t = 9 to t = 25. Include units.

Q: The graph above shows the base of an object. Compute the exact value of the volume of the object,…

A: volume of an isosceles triangle volume=0.5(b)(h)(w), where b is the length of the base of the…

Q: determine the solution of the differential equation

A: Given: D2-1y=2ex-e-x

Q: Use this definition with right endpoints to find an expression for the area under the graph of f as…

A:

Q: Question Evaluate the Integral ff (xy³ + 2xy) dA in the bounded region, D, where D is defined as D…

A: Please see the below picture for detailed solution.

Q: csc cottan cot (a) [s 0 de

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Evaluate fry³dx + x³dy, where C' is the rectangle with vertices (0,0), (6,0), (6,2), and (0,2).

A:

Q: (D-5D + 8D-4)y = e, Find Y = Yc - Yp 1 Cate -21 2 a. Cetci 2t O b. 2x 2x C₁ et + C₂²1 +C₁₂re ² +…

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Q: Find the roots of (D4 + D² + 1) +1+√³ 1 ± √√√3 1± √3 2 2 -1 ± √3 2 - 0 1 + −1+ - 1 ± i√√3 2 e. none…

A:

Q: b. The equation of a circle of radius r, centered at the origin (0,0), is given by r² = x² + y² •…

A:

Q: Find the mass of a ball of radius 7 if the mass density of the sphere is proportional to the square…

A:

Q: A poster consists of a printed area and margins (See image). The area of the entire poster is A = 96…

A:

Q: (D4 - 1)y = sinx, Find Yp O a. 1 10 O b. 1 O C. - sin2x 15 -sin2x 1

A:

Q: Inventory Control Jesaki Publishing sells 50,000 copies of a certain book each year. It costs the…

A:

Q: B) If you consider the triangle formed by the ladder, the wall, and the ground, at what rate is the…

A: According to bartleby guidelines we supposed to do ythe first tyhree subparts of multiple subparts…

Q: (D2 + 5D + 4)y = 3-2x, Find Yp a. 11 8 O b. O C - Od 11 8 11 8 11 8 00 + O e. none X 3 + X 3 X 3 X 3

A:

Q: (D² + 5D + 4)y = 3 - 2x, Find Yp O a. 11 8 O b. O d. 11 C. 11 — | 8 11 8 8 + e. none w|x 3 I + w/x…

A:

Q: Find the total work done if the motion is caused by the force field F(x, y, z) = (x+yz)i + (y+xz)j +…

A:

Q: 2. Let f(x)=√x. Find an equation of the tangent line to the graph of f at the point where x = 16 and…

A:

Q: (D3-2D2-5D + 6)y = e³x, Find Yp O a. 1 O b. O C. O d. 10 e xe 1 xe 3x 10 3.x 10 10 O e. e. none ∙e…

A:

Q: Let A, B ⊂R. Prove that (A ∩B)′ ⊂A′ ∩B′. (Recall that A′ is the set of limit points of A). b. Give…

A:

Q: (D2-3D + 2)y=e5x, Find Y = Yc+ Yp O a. 1 *C₁² + €₂²¹ +2³² 12 O b. ³² C₂₁ ²² +₁₂=²+ = 12e-² -5x 12 O…

A:

Q: Compute f(x) f'(x) f"(x) f" (1) = = = = f(iv)(x) = 1 1+x² 2x (1+x²)² f(x) = Σ k=0 (6x²-2) (x²+1) ³…

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Q: Find the distance between the two points shown below. 2 1 -1 -2- -3 -4 -5 Distance = A 2 B + Ta…

A:

Q: Evaluate the indefinite integral. fe³√ √13 + x¹dx +C

A:

Q: Set up the definite integral required to find the area of the region between the graph of y=x²-14…

A: formula for area is A= ∫abf(x)-g(x)dx

Q: Evaluate the integral. 1 [²(6x (6x² + 5ex) dx

A: Solve by integration

Q: 9. Passes through P = (0, 1, 2) and orthogonal to both d₁ = (2,-1,7) and d₂ (7,1,3).

A:

Q: Find f"(x). 13. f(x) = x² + fr) - r³ 375

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Which of the following functions is equivalent to f (x) = log₁ (16x)? Hint: There are 4 correct…

A: To find the function which is equivalent to the given expression

Q: Consider the following integral. Br -2 f(x) dx 0 = where f(x) = Rewrite the given integral. 2 [²1(x)…

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Q: In this question, you will use a substitution to carry out the following integration: So If the…

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Q: (D² - 3D + 2)y = ex, Find Yp O a.-ex O b.ex O c. -xex O d.xex O e. none

A:

Q: [(2x- +6) (x² + 6x + 7)²dx by making the substitutionu = x² + 6x + 7. + C NOTE: Your answer should…

A: Given query is to find the value of the integral.

Q: How much would you need to deposit in an account now in order to have $5000 in the account in 10…

A: The Compound Interest Formula: A = P 1+rnn·t where A = Accrued amount P = Principal amount r = Rate…

Q: Use the ratio test to determine if the series converges or diverges 2n n! Σ=1

A:

Q: Find the roots of (D4 + 4y = 0 O a. +2i, ±2i + 2 O b. 2+2i, ti Oclti, -1+i O d.-1 +1, 2+2i O e. none

A: To find the roots of D4+4y=0

Q: Use Newton's method to approximate a solution of the equation x³ + x + 6 = 0. 1 be the initial…

A: Given, x3+x+6=0

Q: Find all values of x (if any) where the tangent line to the graph of the given equation is…

A: Use differentiation to find the horizontal tangent line.

Q: 4. lim cos(x )x

A: We can find the limit of the given function by sequential method. Let xn  and  yn be two sequence…

Q: Calculate the arc length of y = 4x + 1 as a varies from 0 to 2. 8 =

A: As we know that arc length = ∫ab1 + ( dydx )2dxGiven y = 4x + 1 varies from 0 to 2

Q: uppose f(x) = 2x² + 8x. Find: The slope of the line tangent to f(x) at x = 2. swer: The…

A: Given query is to find the slope of tangent nad the equation of the tangent.

Q: In this question, you will investigate whether the improper integral [ 21/12 converges or diverges.…

A:

Q: In Exercises 7-16, vectors and are given. Compute ū x v and show this is orthogonal to both ū and v.…

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Q: Basic rules (sum, product, quotient, power) DO NOT USE THE DEFINITION anymore. Use the shortcuts.…

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Q: Use l'Hopital's Rule to evaluate commonly known limits. lim 0 x O lim Use l'Hopital's rule to…

A: Use  l hospital rule to find  the limit.

Q: Given a = log, 5 and b = log, 4, use logarithmic properties to represent each of the following…

A: Please see the below picture for detailed solution.

Q: Write an equation for a rational function with: Vertical asymptotes at x = 6 and x = 3 x intercepts…

A: Given query is to find the equation of the function.

Q: 14 Approximate (²-6) dx using 4 rectangles. [6²

A: Given, ∫214x2-6dx, n=4

Q: Find the average value of the function f(x) = 3x¹ on the interval 2 ≤ x ≤ 5. Round your answer to…

A: Given query is to find the average value of the function.

Q: and V. 35. 36. 37. = (1,1,1), V = (2,0,1) = (1, -2, 1), V=(3,2,1) =(5, 0, 2), v= (-3,0,7)

A: