1 -dx. State whether the improper integral converges or diverges. 22 +4 Evaluate 00

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A: Find f'(1)

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A: Given

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A: Let's find.

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A: Given that the curve  r→t = 2 costi→ + 2 sintj→ +3tk→  = f(t)i→+g(t)j→+ h(t)k→        we  have to…

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Q: (D² + 4)y= 4 cot 2x

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Q: 29 – 49 - dy C. 2+ 4y · Evaluate using substitution

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A: As we know that; The expression for the volume of the cube is: V=a3    ....(1) Where a is the edge…

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A: To test for convergence and divergence for the given series.

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Q: 4. Find (a) the gradient of f at P and (b) the rate of change of the function value in the direction…

A: A detailed solution is given below.

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Q: Consider the function g defined by g(x, y) = sin (T /Ty) + log3 (x – 3y) Do as indicated. 1.…

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Q: a²z a?z a?z For each of the following functions z, find and ax дудх' дхду 3. z = tan-1 (2)

A: partial derivative

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Q: x = -2t Given: line l1 : 3 1 – y = Z - 8 and l2 y = 2 + 2t z = 6 + 2t %3D 1. If the given lines…

A: The solution is given in the next step.

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Q: The population of Nash County in 2004 was 28,000. In 2012, the population grew to 35,470. Johnson…

A: The population of Nash County in 2004 was 28,000. In 2012, the population grew to 35,470. Johnson…

Q: 8x? -x t 8 x (x² + 4) 9. b.4mx4 3m (x+4-ラ4an)tc c. qlnxf 6m (x"+4)-Arctan )t c d. 2mxt 6m Ge?+4) -…

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Q: Change the following rectangular equations to polar form. Show work on separate pape 14. x² +y =10…

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Q: a. f(x) = ln 3sqrt(2x^3+5) (Use log properties to simplify first)

A: Solve the following

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Q: Use the Linear Approximation to estimate Af for f(x) = when a = 2 and Ax = 5+x2 (Use decimal…

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Q: Compute the given integral. zp-

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Q: All edges of a cube are expanding at a rate of 6 centimeters per second. How fast is the surface…

A: We have to solve above problem.

Q: The average amount of time that a customer waits in line for service is given by W(x, y) = y < x…

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Q: Зx+1 5. f(x) %3D 3x2+2

A: f(x)=3x+13x2+2Differentiate…

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A: Given query is to find limit of the expression.

Q: a²z B. For each of the following functions z, find z ²z əxəy and əx²' @yəx'axây' 1. z = 2x2 – 5xy +…

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Q: 1 f(x) 1+x 1 f(x) 1- x 2 f(x) 3 — х x² f(x) x* + 16

A: Given that the series the  To find the Power series

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A: We have to find the integral

Q: xチ+1=4 DIDX= 2-2y (ost) X= 3サ-3 *キーに h で3,0) サ=2メー オー×ポーカ toノー4) メッとナ+ム メーリー3

A: Explanation of the answer is as follows

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Q: Mary, Martha and Lazarus lives in the same house. It takes Mary 2 h to clean the house alone. Martha…

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Q: 4. If f is a differentiable function of a and y with w f(x, y), x =r cos 0 and y = r sin 0, %3D show…

A: To verify the given relations between partial derivatives.

Q: (D² – 2D – 3)y = 64xe³*

A: The given differential equation is:D2-2D-3y=64xe3xWe will solve this by method of undetermined…

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A: .

Q: 5x - 4 and the a-axis over the interval 6 Find the net signed area between the graph of the function…

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Q: The following question is about the rational function (x + 1)(x - 2) rex) = (x + 2)(x – 6) The…

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Q: quadrilateral PQRS is a rhombus. P Q M S R If PQ = 3x + 7 and QR = – x + 17, what is value of x? 3 4…

A: We know that, a rhombus is a type of quadrilateral. It is a special case of a parallelogram, whose…

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A: Topic:- application of derivatives

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A:

Q: the function f(x) = xe-* is concave upward on Select one: O (-00, 2) O (2, co0) O (-00, 1) O (1, 0)…

A: Given

Q: Test the series for convergence or divergence using the Alternating Series Test. (-1)^ - 1 5+ 7n n-…

A: Here, the given Alternating series is: ∑n=1∞(-1)n-15+7n