If f(x) - Sto = t5 dt then f'(x) = and ƒ'(−4) =

Q: Find ∫∫R  −3x+5y/(x+6y) dA where R is the parallelogram enclosed by the lines −3x+5y=0, −3x+5y=3,…

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Q: The cost for producing a thousand widgets is given by C(x) = 0.06x4 - 2x³ + 14x² + 400x, 0 ≤ x ≤ 60.…

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Q: Solve the initial value problem 8y" - 2y' - y = 0, subject to y(0) = -0.2, y'(0) = -0.325.

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Q: Suppose that we're setting up a wireless data network for a small municipality. The local ISP wants…

A: The given cost function is

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A: Given the function  and the point , which lies on the graph of , then to determine the equation of…

Q: y'-(4/x)y=x^(5)*e^(x) how do I solve this differential equation?

A: The given differential equation is

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Q: 3. Evaluate the integrals. a. b. /4 5*1*4 (sec (1))² dt [²7/x dx baxax 8x dx

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Q: 19. Use Newton's Method to estimate the one real root of f(x)=x²+2x-2. Start with x = 1, and perform…

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Q: f 9 csc (2) sec (2) dx Evaluate the integral above by taking the derivative of each answer choice to…

A: We have integrate the given expression

Q: Find the ninth term of the binomial expansion. (p+q) ¹¹

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Q: sin x lim X→0 xX tan x m. n. lim x→0 X

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Q: The equation z = x² + y² - 2x is given in Cartesian coordinates. Convert the equation to cylindrical…

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Q: Use implicit differentiation to find the equation of the tangent line to the function defined…

A: The given equation is; 6x2+2x4y5=8Point (-1,1)

Q: 61. Presale Order A wireless store owner takes presale orders for a new smartphone and tablet. He…

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Q: Consider the indefinite integral Then the integrand has partial fractions decomposition a b cx + d…

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Q: Find the equation for the line tangent to the parametric curve: at the points where t = 4 and t =…

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Q: 1 2 3 4 Identify the coordinates of the point in polar form based upon the given conditions. Use pi…

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Q: Evaluate the following indefinite integral. 19 / (22+4) de dx Note: Don't forget your C! And be sure…

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Q: Find the vertical, horizontal, and oblique asymptotes, if any, for the following rational function.…

A: Horizontal asymptotes of the rational function:Vertical asymptotes of the rational function: The…

Q: 7. Determine critical points for each of the following functions. 2 d. y = x² 32√x e. y = x³ + 3x² -…

A: To determine the critical points for each of the following functions.

Q: Find T 1 = -1 wwwman x² dx + C

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Q: Thank you but I believe you are missing the square in the question the question is (4x^2 +3)^2 dx

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Q: 58. Movie Theater Tickets A movie theater charges $9.00 for adults and $7.00 for senior citizens. On…

A: Movie Theater Tickets A movie theater charges $9.00 foradults and $7.00 for senior citizens. On a…

Q: Consider the region below f(x) = (6-x), above the x-axis, and between x = 0 and x = 6. Let x; be the…

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Q: Given the function f(x) = 5x² − 3x + 9 and the point P(-4, 101), which lies on the graph of f(x),…

A: The objective of this question is to find the equation of the tangent line to the function f(x) =…

Q: he table gives the values of a function obtained from an experiment. Use them to estimate f(x) dx…

A: Consider the given table in the question.Given that n = 3△x=b-an"…

Q: Find (+72+6) dz + C

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Q: Evaluate the integral: O x ○ x = 3 sec (0) 0x = 8 sin(0) (A) Which trig substitution is correct for…

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Q: A = C = 4 6 1 3 2 3 1 0 0 2 B D 2 5 3 7 10 20 30 20 10 0

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Q: Find the complete solution of the linear system, or show that it is inconsistent.

A: A system of equations is inconsistent when it has no solution.that is no real numbers as variable…

Q: 6. A particle moving with the velocity function v(t) = t²-3t+2,0 ≤ t ≤ 4. Find (i) the net distance…

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Q: Use the parametric equations of an ellipse, x = a cos(8), y = b sin(0), 0 ≤ 0 ≤ 2π, to find the area…

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Q: Hello, I need to evaluate the limits below but the grahp is made on paint, sorry about that.…

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Q: Let f(t) be the function 2t² + 1t+5. Follow the steps below to use the formal definition of the…

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Q: Find the value of a that makes the following function differentiable for all values of x. g(x)= if x…

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Q: Eliminate the parameter t to find a Cartesian equation in the form = f(y) for: √x (t) = 4t² y(t) =…

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Q: Use the formula f'(x) = lim Z-X f(x)=x²-x+4 f'(x) = f(z)-f(x) Z-X to find the derivative of the…

A: we need to find f'(x)

Q: xp£p( c£xZ+& ,x)_JJ A

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Q: 57. Orbital Launches In 2012 there was a total of 78 commercial and noncommercial orbital launches…

A: In 2012 there was a total of 78 commerecial and noncommerecial orbital launches worldwide. In…

Q: Express your answer as a polynomial in standard form. ƒ(x) = x +11 2 g(x) = x² - 6x +2 Find:…

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Q: (11,20) (11,20) Show that (40) fdx+ gdy = f(4,1) 24x²y³dx + 40y^³dy is independent of path: J(4,10)…

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Q: Find the area of the shaded region. r² = sin(20) P.

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Q: 4x (11 + x) Find the first few coefficients. Suppose that CO C1 = C2 = C3 = C4= ∞ n=0 Cnx". Find the…

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Q: Let g(x) = 6e* Determine the most general antiderivative of g. [6e²dx = [

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Q: Find the interval I and radius of convergence R for the given power series. (Enter your answer for…

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Q: Your company determines that the marginal cost, C', of producing the xth unit is given by the…

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Q: A company finds that the rate at which the quantity of a product that consumers demand changes with…

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Q: Find the exact length of the curve described by the parametric equations. x = 8 + 3t², y = 7+ 2t³,…

A: x=8+3t2