Assume that x and y are both differentiable functions of t and are related by the equation ㅠ dy Find when x = given dt 10 Enter the exact answer. dy dt = Number y = cos (5x). " dx dt = -5 when x = ㅠ 10

Q: Find a) any critical values and b) any relative extrema. t(x)=x³ + 10x - 3

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Consider the following cost function. a. Find the average cost and marginal cost functions. b.…

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Q: hi , the solution is not visible can you please help

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Q: dy dx a) y = 4x² cosx Find Simplify. 2 tan x b) y=- X

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Q: 9. Determine the value(s) of k such that (2k, 3, k + 1) x (k-1, k, 1) = (1, -2,2).

A: (2k, 3,k+1)*(k-1, k, 1)=(1,-2,2)Find the value of k.

Q: For the vectors ä = (2,p, 8) and b = (q,4, 12), determine values of p and q so that the vectors are:…

A: Given:We are required to:

Q: Hi what is the final answer you didn't attach the answer you can see the answer is not shown here

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Q: Find the linearization of the function ƒ (x) = = L(x) ab B (-2)x-3 X -1.1 86 -1.01 a -1.001 √a |a|…

A: The given function

Q: following problem. Find only an appropriate Green's function for the y"(x) + w²y(x) = f(x), 0 ≤ x ≤…

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Q: Use the Implicit Function Theorem to find the derivatives: a. Find for the equation x² + y - 4 =…

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Q: Find the indefinite integral. (Use C for the constant of integration.) -7 (x² + 7)3/2 dx

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Q: 27. (u + 2)(n-3) du 29. f. 2+² dx 28. f*(4-1)√1 dt 30. f²₁ (3u-2)(u + 1) du

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Q: State the range for the function: ƒ(x)=-log₁(x−1)+2 O (-00,00) O (-∞, -1) O (0,00) O (-00,0) 82°F…

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Q: Determine the set of points at which the function is continuous. F(x, y) xy 2 + ex-y

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Q: Given the function f(x)=x²-3 a. What is the domain for f(x) What is the range for f(x) b. Find f¹(x)…

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Q: |f''(x)| expresses the curvature x(x) of a [1 + (f'(x)) ²2] ³/² curvature function of the following…

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Q: S x cos 2x dx

A: We are required to find:

Q: 1. Determine the derivative of each function. (DO NOT SIMPLIFY) a) f(x) = x³5x b) g(x)= Fl

A: Use the quotient and product rules of the derivative

Q: Down hill 109 cm / 4.42 sec = 24.66 cm/sec 63 cm/2.54 sec = 24.80 cm/sec

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Q: Find the sum of an infinite geometric sequence in which a1=550 and r =3/8

A: We know that the sum formula of the geometric series is a/(1-r)

Q: Find the measure of in degrees. If necessary, round to four decimal places. 17 12

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Q: A region bounded by f(x) = x, y = 0, x = 1, and x = 4 is shown below. Find the volume of the solid…

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Q: Evaluate the integral. (Use C for the constant of integration.) [s sin5(t) cos6(t) dt

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges.…

A: By using the ratio test for absolute convergence to determine whether the series converges or…

Q: detremine a reduced fractions that has this deminam exapnsion  0.313131...

A: The given expression is:

Q: 30. f², (3u-2)(u + 1) du

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Q: The base of a three-dimensional figure is bound by the semi-circle y = √4-x² Vertical cross sections…

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Q: Solve the given initial-value dy dx - 2xy = 5y4, problem. The DE is a Bernoulli equation. 1 y(1) = ¹…

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Q: A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r…

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

Q: a) Sketch the graph for the following Functions. 2= 3-2x-6y Z= 3-2х-бу

A: So, solving the question 3(a).Given function,

Q: Find three positive numbers whose sum is 140 and whose product is a maximum. (Enter your answers as…

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Q: Analyze and Construct the graphs of the following functions: For each of them determine: The…

A: Given is the function and we have to table the values, plot it anddetermine domain and codomain.

Q: Use Lagrange multipliers to find the points on the cone z² = x² + y² that are closest to the point…

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Q: f (x) || 2x+5 5x-1

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Q: Sketch a continuous curve for which each of the following statements is true. • f(-1)=0, f(0) = 2,…

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Q: Find the area under the graph of y = -x² + 4x on the interval [0, 2]. 1 4 3 2 1 ISH|| 5 4 3 -2 -114…

A: y= -x2+4xWe have to find area under the graph of y on the interval [0,2]

Q: Find the indefinite integral. (Use C for the constant of integration.) -7 (x? + +7)3/2 dx

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Q: 1. Sketch the region of integration and then compute the integral with the order of integration…

A: To sketch the region of integration and then to compute the integral with the order of integration…

Q: {(1,5), (-2,3)} is a spanning set for R². Express the vector (4, -3) as a linear combination of the…

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Q: 1) 2) 3) Find: lim x → 1 Find: lim x→6 Find: lim x-5 x² - 1 x - 1 x² - 36 - 6 x² - 25 x - 5

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Q: Find the average value of the function

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Q: Determine the Cartesian equation of each of the following planes: a. through the point P(0, 1, −2),…

A: Solving the problem

Q: 27. Σ Σ(3) n τη

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Q: Suppose the position of an object moving horizontally after t seconds is given by the following…

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Q: 1) Find: lim x→ 4 x² - 16

A: We are required to find:

Q: Use cylindrical coordinates to evaluate JJJ z dV, where E is the solid that E lies between the…

A: Solving the problem

Q: Show that the line [x, y, z]= [5,-1,3]+[4,-5,2] lies on the planes 3x+2y-z = 10 and 7x+4y-4z=19.

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Q: The sales of a small company were $25,000 in its second year of operation and $55,000 in its fifth…

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Q: |f''(x)| [1+ (f'(x)) 2] 3³/² function of the curve y = -9 sinx, 0≤x≤2. Then graph f(x) together with…

A: The function is

Q: 2- What value of c will make the following function continuous at x = 0? x3 f(x) = tan³ (3x) C x = 0…

A: To find the value of  that will make the following function continuous at .