Find the unit vector in the same direction as v. v=8i u= ai + bj + ck where a = b = (Simplify your answers.) and c =

Q: Let A(x) represent the area bounded by the graph, the horizontal axis, and the vertical lines at t =…

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Q: Use the given substitution to evaluate the indicated integral. J +4 dx, u = x² + 4

A: Given integral ∫x6x7 + 4  dx

Q: Find the slope of the tangent line to the curve y = √x + 2 at the point (2,2) using the definition…

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Q: Verify that the Mean Value Theorem applies to the function g(x) = ln(x² + 2x + 1) on the interval…

A: Let's find value of c.

Q: What is the definition of ? O [f'(x+h)-f'(x)]/h f" (x) lim h->0 [f(x+h)-f(x)]/h O [f(x+h)-f(x)]/h…

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Q: Find the nth term {an) of the geometric sequence. When given, r is the common ratio. 43) 2,1,2,...

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Q: v) √ ₁² √√₁-x² √²-x²-y²³ (1 + x² + y²) dzdydx So So •1 0 0

A: Triple integral

Q: Given f(x) = 2x+4 and g(x)= 3x² - 2x, find f(g(x)).

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Q: Let f(x) = √√5x + 2. Find f'(x) by the limit definition of the derivative.

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Q: A rectangular sheet of metal 24 cm long and 12 cm wide is to be transformed into an open box by…

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Q: Problem 7 Let f(x) = a) What are the horizontal asymptotes of f(x)? b) What are the vertical…

A: As per the company guidelines we are supposed to answer only the first three subparts.Kindly repost…

Q: 18 x² +9 (b) (gof)(2) (c) (fof) (1) (d) (gog)(0) Given f(x)= |x and g(x)= (a) (fog)(4) " find the…

A: Given,            fx=x and gx=18x2+9

Q: The alternating series is convergent. 8 n=1 Select one: O True O False Give your reasons (−1)n+¹…

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Q: 4. Use the graphing guidelines (see below) to make a complete graph of f. f(x) = 3x - x³. (Graphing…

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Q: 5. Which of the following does not have a Laplace Transform? a. elnt b. et² c. sintcost d. tantcost

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Q: Click the best answer 10 y = (x+3)²(x² + 1) 0 0

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Q: Evaluate the integral 9 3 dx x( In x)8 || 3 dx x( In x)8

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Q: Find ux (2v) for the given vectors. u = 7i - 2j+8k, v = − 3i+9j+5k Select the correct choice below…

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Q: Write the sum using sigma notation: 6+8+10 + 12 + A = Β: = A + 32 = Σ B, where n=1

A: The nth term of an arithmetic  sequence with first term a and common difference d is a +(n - 1)d

Q: We can use direction substitution to evaluate limits of polynomials, sine, and cosine functions…

A: given statement We can use direction substitution to evaluate limits of polynomials, sine, and…

Q: Find the maximum and minimum value of f(x, y) = x - 3y on the closed disc of radius 5.

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Q: Suppose that 0=arcsin(4/5). What is cos(20)? (round to 4 decimals) Your Answer:

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

Q: Find a polar equation for the curve represented by the given Cartesian equation. x² = 3y O O r= 3tan…

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Q: 1 Find the divergence of U = r cos 0 a₁ - sin0 aº + 2r² sin 0 a. ar r O 3 sin 0 3 cos 0 O None of…

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Q: Consider the function f(x) = 10x¹0 + 8x5 + 8x5 – 5x³ – 5. Enter the antiderivative of f(x) + C

A: The given function is  f(x)=10x10+8x5-5x3-5

Q: If f(z) = 8 sin-¹ (2³), then f'(x) =

A: The given function fx=8 sin-1x3. We have to find the derivative function f'x.

Q: Given r =1−sintheta Find the slope of the line tangent to the given polar curve at (1/2,pi/6)

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Q: Given z = 9+5i, find the product z. Z. Z Z= (Simplify your answer.)

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Q: 6. Write the equation of the line that represents the linear approximation to the function f(x) =…

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Q: Given f''(x) = = Find ¹ ƒ(7) = 4 sin(2x) and f'(0) = = 4 and f(0) = = - 1.

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Q: is differentiable at iff exists. lim h→0 f (x) True a [For your information: "iff" is an…

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Q: Find the complex zeros of the following polynomial function. Write f in factored form. f(x) = x³ +…

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Q: A = [2²3] and B = [11] and Add AB to AC and compare with A(B+C). AB+ AC= A(B+C) = A(BC) = (AB)C= P.…

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Q: Compute the area of S. f(x) dx for f(x) = 4x if x < 1, and f(x) = 1 ifx≥ 1. Area =

A: To find the integral, split the limit of integral in two parts

Q: Write a formula for the nth term of the following geometric sequence. Then use the formula for an to…

A: Here we can answer both the answer in the below steps.

Q: Intergrstion of x^2* e^-x^3

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Q: - Drug pharmacokinetics A patient takes 150 mg of a drug at the same time every day. Just before…

A: we need to find the quantity of drug.

Q: Evaluate the definite integral. 7 3 1 (2x-4)² dx

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Q: Use l'Hôpital's lim X→0 lim X-0 Rule to find the following limit. 2 sin (x) - 2x 7x³ 3 2 sin (x) -…

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Q: Let y = [] and u = Into A enter UTU. Into B enter UUT. Into C enter projwy. Into D enter (UUT)y. IS…

A: We have to find (UUT)y and UTU.

Q: Question 5 Let y = tan(4x + 5). Find the differential dy when x = 4 and dx = 0.3 Find the…

A: Solve the following

Q: Given the information below, estimate the total distance travelled during these 6 seconds using a…

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Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

A: Given is the graph of velocity. Total distance can  be found by calculating area under the curve

Q: 2. Use the first derivative test to locate the local marimum and local minimum point(s). f(x) =…

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Q: Find the area of the shaded region. Round your answer to three decimal places. 0.6 04 0.2 0 -0.6 A…

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Q: To find a particular solution for the differential equation y" +9y=e with the variation of…

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Q: Evaluate the following limits. If needed, enter oo for co and -o0 for -∞o. √3+2x² 2 + 2x (a) lim #48…

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Q: (2-2) A o (Type an equation. Simplify your answer.) Type the locations of the foci. □ (Type ordered…

A: Topic:- equations of ellipse and geometry

Q: (12x² − 8x+5) dx = -

A: To evaluate the following integral.∫12x2-8x+5 dx

Q: Use mathematical induction to prove that the statement is true for every positive integer n.…

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