A. 3t+ 2y + (3t+ 2y)y' = 0 OA. A only OB. B only OC. A and B O D. None B. 3t+ 2y + (3y + 2t)y' = 0

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Q: 5. Let w = f(u, v), where u = x + y and v = x - y. Show that дw ди дх ду = () - ( ) 2

A: Given, w=f(u, v) where u=x + y and v=x - y To prove: ∂w∂x∂w∂y=∂w∂u2-∂w∂v2

Q: Exercise 11 Evaluate the limit lim x → T 6 sin x + x- 품) 1/3/5/6 - 1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: 5. Prove that, for n> 1, n

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Q: Use a graphing utility to find the limit. 5x − 7 2-81 lim x-g+x².

A: Let's find evaluate the limit by graphing utility.

Q: Given that; f(2)=2, f'(2)=3 g(2)-6, g'(2)=4 Calculate the following (fg) 2 = (f/g)'(2)= (g/f) (2)=

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Q: Calculate the gradient of f(x, y) = xy at (x, y) = ( − 2, 2).

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Q: Please show your answers to at least 4 decimal places. Suppose that ƒ(x, y) = x³y². The directional…

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Q: Find the critical numbers of the function f(x) = 4x5 + 25x¹ - 20x³ - answers to three decimal…

A: Given, f(x)=4x5+25x4-20x3-5

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Q: Consider the function f(x) = 3x³ + 5x2 +15. For what values of k does the Intermediate Value Theorem…

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Q: Use Newton's method to approximate a root of f(x) = 11x^2 + 36x -24 if the initial approximation is…

A: Given, f(x)=11x2+36x-24

Q: Solve the differential equation. dy 2√xy = 1, dx The solution is (Type an equation.) x, y>0

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Q: Solve y'' - 4y' + 29y = 0, y(0) = 3, y'(0) = y(t) = 9

A: The given differential equation is; y''-4y'+29y=0, y(0)=3, y'(0)=-9.

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Q: 2ydx + (x x³y³) dy = 0

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Q: Question Use the method of partial fractions to evaluate the following integral. √ 23 ²2 64 da dx x3…

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Q: Find the limit. lim (1)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Consider the function f(x) = x³ - x¹ + ?x³ + ¾x + 20 (a) Find where the function is concave up. + ¾.

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Q: 1. Simplify the following without using a calculator. A. In(e-³) B. In(e². e³) C. eln(2) D.…

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A: The extreme value problem with both a maximum and a minimum value.Use Lagrange multiplier to find…

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Q: Sketch in the xy - plane the domain of each function : (a) ƒ (x, y) = (√x + √y) · In (x² + y² − 4) -…

A: Note : Multiple questions : According to our company guidelines we are supposed to solve only…

Q: The graph of f is shown below. Draw the graph of each of the following functions: (a) f₁(x) = f(-x),…

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Q: Find the equation of the tangent line to the curve y = 2 sina at the point (,1). The equation of…

A: m=1.732 b=0.093 For detail...go through the solution...I have solved step by step in detail

Q: Use the given graph of the function to find the x-values for which f is discontinuous. Answer…

A: The graph of a function is said to be discontinuous at a point where there is a break in its graph.

Q: -6t Find the equation of the tangent line to y = e at t = 0. Y

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Q: y(2x² − xy + 1)dx + (x − y)dy = 0 - - (x² + y² + 1)dx + x(x − 2y)dy = 0 - y²dx + (3xy + y² − 1)dy =…

A: As per bartleby guidelines we only give first three question answer. Please repost for other parts.

Q: Divide using long division. State the quotient q(x) and the remainder r(x) 24x to the fourth + 21x…

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Q: What values of a and b make the function f continuous everywhere? x² - 4 a = f(x) = " X 2 ax² - bx -…

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Q: Find the particular solution of the differential equation that satisfies the initial condition.…

A: We can find the particular solution in the below steps using the appropriate method.

Q: using synthetic division x to the fourth - 2401/x-7

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Q: Let u(t) = 2t³1+ (t²-1)j-8k. Compute the derivative of the following function. (+15+6t) u(t) Select…

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Q: Evaluate the definite integral. Your answer will be a function of a. - 8t + 5) dt =

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Q: Question & Determine which of the following tests would be best to use to determine the convergence…

A: Solution: ∑n=1∞1ln(n) Applying Integral test If there exists an N≥k so that for all n≥N, f(n)=an is…

Q: Which of the following does not have the same graph as r = 2 Or -2+3 cos 0 Or -2- 3 cos 0 O r = -2+3…

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Q: 1. Integrate each of the following. a. f 3x²e³x dx b. fxco. xcos(4x)dx

A: (a) Given that ∫3x2e3xdx

Q: I If f(x) = = √² (1²³ + 3t² (₁ (t³ + 3t² + 5) dt then

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Q: If f(x) = 2x(sin x + cos x), find f'(x) = f'(1) = (do not distribute) (round to 3 decimal

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Q: Define R as the region that is bounded by the graph of the function f(x)=√x+2, the x-axis, x = -1,…

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Q: Perform long division on the integrand, write the proper fraction as a sum of partial fractions, and…

A: We have to solve the integral  ∫22x3-44x2+2x2-2xdx

Q: Express the integrand as a sum of partial fractions and evaluate the integral. 2 48x S (x-9)(x+3)²…

A: Given, ∫48x2x-9x+32dx