Assume that all variables are implicit functions of time t. Find the indicated rate. dy dt dy dt x² + 4y²+ + 4y = 73; dx = 10 when x = 7 and y= -3; find dt (Simplify your answer.)

Q: At what points is the following function continuous? f(x) = x²-2x-8 X-4 6, 1 x #4 x = 4 The function…

A: f(x)=x2-2x-8x-4,x≠46,                   x=4at x=4, f(x)=6

Q: Use Simpson's Rule with n = 4 steps to estimate the integral. O 1747 840 1171 280 1747 420 1171

A: Solving the following problem

Q: The regular price of a pair of jeans is x dollars. Let f(x) = x - 12.50, where frepresents the price…

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Q: The radius of a sphere was measured and found to be 8.0 cm with a possible error in measurement of…

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Q: II. Identify the equation of the slope of the tangent line, the slope, and the equation of the…

A: Topic = Application of derivative

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Q: 18. Sőt dx √1-x²

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Q: Consider the following series. lim n→ ∞ 00 n = 1 Use the Limit Comparison Test to complete the…

A: We need to check the convergence of the series by the use of limit comparison test.

Q: 4. Find the flux of F across S if F = yi-xj+2zk and S is the hemisphere x² + y² + z² = 4, z ≥ 0,…

A: We have to find flux passing through sphere.

Q: Consider the following. -x³ + 4, -x² + 4x, Find the critical numbers. (Hint: Check for…

A: We have to solve following sub parts.

Q: The region enclosed by the the curves x - y = 1 and y=x² - 4x +3 is rotated about the line y = 3.…

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Q: Simplify. Y -2x -1 yx ° -2yx 6x² - 5x [6²² 8yx 6x² - 5x [62³% 2yx 6x² - 5x 162² [152² 2yx 15x²–5x…

A: It's simply a matrix multiplication. Use the raw into column multiplication of matrices.

Q: List the first 3 terms of the sequence starting from n=1: n+1 − 1)" . 2n

A: an=(-1)n.n+12nfor first term put n=1

Q: Determine the sum of the series

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Q: Finn all local and global maxima and minima for the function f(x) = 2x3-3x + 2 in the interval [-1,…

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Q: Evaluate the integral by changing to cylindrical coordinates. 9-y² 6 T [T 9- y2 x² + y² xz dz dx dy

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Q: 4 6y' – 2y = xy¹, y (0) = -1

A: The given differential equation is: 6y'-2y=xy4        ......1  Initial condition y0=-1

Q: Evaluate the integral using partial fraction method (x² + 5) (x² + 1) (x − 9) (x − 8) - J dx

A: Given integral:- ∫x2+5x2+1x-9x-8dx

Q: Consider the differential equation = 5(2x+3) sin(x²+3x+). dx Part A: Find the equation of the line…

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

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Q: By considering different paths of approach, show that the function below has no limit as…

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Q: 2. Prove that d [(2x+1)³] (2x+1)³(4x-19) (x-3)² dx = Then, -5 (2x+1)(8x-38) 3(x-3)² dx.

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Q: Identify the vertex of: f(x) = 3(x - 5)² + 1/2 O (-15) O (5) O (-1/52,7) O (5,-)

A: Identify the vertex of: fx=3x-52+72A   72,-15B   72,5C   -152,7D    5,72

Q: Consider the function f(x) = ¹ on the interval [3, 10].

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Q: Consider the following series. n = 1 Using the Ratio Test, find the following limit. (If the limit…

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Q: Find a vector function that represents the curve of intersection of the paraboloid z = 5x² + 5y² and…

A: z=5x2+5y2y=3x2

Q: -1 The function f(x) = 3x + 9x¯ has one local minimum and one local maximum. This function has a…

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Q: Find the volume under the graph of the function f(x, y) = 10x²y over the region shown in the figure…

A: Consider the region

Q: For what value of c does z = sin(x - 4t) satisfy the wave equation, 8²% 8²% Ət² მ2 C = c² > Next…

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Q: Determine h′(x) if h(x)=(arccos(x))5.

A: Please see the below picture for detailed solution.

Q: Suppose f(x) = (x − 3)(x − 7)³ + 7. Find the absolute extrema of f on each of the following…

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Q: Consider the following function. g(x) = x3 + 3x2 − 6 on [−3, 1] Find the derivative of the function.…

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Q: 29. If A is an n x n matrix and the equation Ax=b has more than one solution for some b, then the…

A: Solution: 29) If the equation Ax = b has more than one solution for some b, then the columns of…

Q: Simplify tanh(ln(6x))

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Q: Angle a lies in quadrant II, and tan a = What is the exact value of sin (a + B)? Enter your answer…

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Q: Textbook If f(x) f'(x) = tan z - 3 sec z Videos [+] f'(3) = Question Help: Video Message instructor…

A: f(x)=tanx-3secxwe know  tanx=sinxcosxsecx=1cosxd dx(sinx)=cosxd dx(cosx)=-sinx

Q: Angle x is a third quadrant angle such that cos x = What is the exact value of cos (2)? Enter your…

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Q: Calculate the integral, if it converges. If it diverges, enter e5x S²∞ 1+e5x dx = diverges for your…

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Q: Give examples of sets of three vectors that are Collinear Coplanar  Not coplanar Explain your…

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Q: Find the limit by rewriting the fraction first. xy-2y-9x+18 x-2 lim (x,y) → (2.2) x=2

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Q: Suppose that the position of a particle is given by s = f(t) = 7t³ + 2t +9. (a) Find the velocity at…

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Q: r Given z(x, y) = ln (2x + y²), a(r, t) = and y(r, t) = √r + t. t Find Əz Ət дz - Ət = Evaluate…

A: Givenz(x,y)=ln(2x+y2)x(r,t)=rty(r,t)=r+t   We are required to find:∂z∂t and ∂z∂tat r=10 and t=-1

Q: Which of the following integral gives an equivalent area solved by the integral: S™/6 O So -1 cos…

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Q: Find the indefinite integral dx (3+5r)2 dx

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Q: Question 4 For the integral: Write the integral again as: 0 0 x+2y+1 --LIT- V = -1 -(x+1) ? ? ? v =…

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Q: The graph of f' (not f) is given in the figure. At which of the marked values of x are the following…

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Q: Question 11 The differential equation y' = 2y+sin x is Select the correct answer. O a. linear O b.…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…