Find the polar equation for the curve x² + y² =9.

Q: Use Green's Theorem to evaluate [₁ F. dr, where F = <√√√x + 3y, 2x + √y C consists of the arc of the…

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Q: List the x-values in the graph at which the function is not differentiable. ५ 3 लिये 1 1 2 -3 ) x =…

A: given graph of function

Q: x+1 x + 2 ≤1.

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Q: Write the given system in the form x' = P(t)x+ f(t) x' = 4x + 4y + 4e' y' = 7x-y-t

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Q: Compute and simplify the difference quotient: f(x +h)-f(x) h 15x 7h + 14 - h = 0. 10x² + 5h+ 7x 10x…

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Q: Find an equation of the tangent plane to the surface g(x, y) = x² - y² at the point (7,2, 45). O…

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Q: 14x In 14x In (5x)dx for x > 0

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Q: Find the intervals f(x) = { -5, 3, -4 -2 8 6 -2 on which the function is continuous. x #2 x = 2 6 8…

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Q: 8. For the curve given by r(t) = (2 cos(t), 2 sin(t), 2t + π), find (a) the unit tangent vector (b)…

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Q: J₁ - 6x + 6y Find -6x + 6y 4x + 3y 0, -dA, where R is the parallelogram enclosed by the lines - 6x +…

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Q: A piece of cardboard measuring 9 inches by 13 inches is formed into an open-top box by cutting…

A: A piece of card board measure 9 inches by 13 inches. It is formed into an open top box by cutting…

Q: Vector u is a scalar multiple of vector v. What can be concluded about: a. The dot product of these…

A: Question: vector u is a scalar multiple of vector v. what can be concluded about: (a) The dot…

Q: Let A, B, C be sets. Use standard set theory identities to prove (A\B) \ C = (AUB) \ (BUC).

A: To prove that (A\ B) \ C=(AUB) \ (BUC), we need to show that an element x belongs to the left-hand…

Q: Solve cos(x) = −0.23 on 0 ≤ x < 2π There are two solutions, A and B, with A < B A = B =

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Q: 7) [2x²e²* dx

A: Solving the problem

Q: 10.₁² dx x³√x²-16

A: ∫481x3x2-16dx

Q: Find the divergence of the vector field F = div F Calculator Check Answer

A: We have to find the divergence of the given vector field.

Q: 49. 8 k=3 1 In k

A: We have to check the convergence of the series: ∑k=3∞1lnk

Q: If 2000 square centimeters of material the largest possible volume of the box. Volume = available to…

A: Surface area = 2000 cm2 Box description÷ Square base and open top Let the square base have length of…

Q: Find the general solution of the following differential equations: (a) y? Ax=(xy-x)dy

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Q: The rate of change in z at (1,4) as we change x but hold y fixed is The rate of change in z. at…

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Q: Approximate the area under the curve graphed below from 8 using a Left Endpoint approximation with 5…

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Q: Suppose that f(x, y) = y√³+1 at which {(x, y) | 0 ≤ y ≤ x ≤ 4}. Then the double integral of f(x, y)…

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Q: Find the area of the shaded region. 2 1 L square units y=x4 - 2x³ y = 0 2 X

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Q: Find the Jacobian of the transformation * = 4u4v, yu² + 2v

A: The given x=4u-4v ,y=u2+2v

Q: Determine the midline of the graph of f (x) = 2 cos(x + π) — 9 Oy = 2π Oy=-9 Oy=0 Oy=-π Oy=2

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Q: Use Green's Theorem to evaluate F = (√x + 4y, 2x + 4y) C is the boundary of the region enclosed by y…

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Q: Find the surface area of the part of the plane z = 6 + 2x + 3y that lies inside the cylinder x² + y²…

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Q: Use divergence theorem by evaluating § F.N dS as a surface integral and a triple с integral. F(x, y,…

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Q: The graph is continuous at x = -1. ++> 3- -5-4-3-2----1 23 O True O False -3- t-. --5+ + 5 x

A: given graph of function

Q: The price of a company's stock over the 12-week period at the beginning of 2012 can be approximated…

A: It is given that price of company's stock over the 12 week period at beginning of 2012 can be…

Q: Consider the vector field F = Evaluate ef F r(t) = t² i + t³j, 0≤ t ≤1 F. dr along the curve C:

A: Concept of line integral is as follows ∫F.dr→ = ∫t1t2F( r ).( dr )dtGiven F = &lt; 7x + 5y , 5x + 2y…

Q: Evaluate the definite integral. 10 [." t t¹ In (5t)dt

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Q: f"(x) = -9 sin (3x) and f'(o) = 5 and f(0) = ind f(1/2):

A: Given data f''( x ) = -9sin( 3x ) f'( 0 ) = 5f( 0 ) = 0

Q: Find the area of region enclosed by a = t_t³, y = t - t¹, 0 < t < 1 using Green's Theorem.

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Q: 4. The graph of f(x) = x³ has been transformed into g(x) shown below:

A: The graph of fx=x3 has been transformed into gx shown below :

Q: Find the flux of the vector field F = across the part of the plane z = 2+3x+y above the rectangle…

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Q: Find the Jacobian of the transformation * = 7u+v, y = u²+ 6v-

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Q: Find df (3x + 2y)dA where D = {(x, y) | x² + y² ≤ 25, x ≥ 0} 500 3 X

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Q: =√xy³dx + zªdy, where C is the rectangle with vertices (0,0), (2,0), (2,1), and (0,1) Evaluate

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Q: of r(x) L (a) Estimate f(x)dx f(x)dx. -4:85

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Q: dy Calculate You need not expand your answer. dx dy || y = -3.9 X +2.9 9 2.9 X 9 + 5 +2.9 45 1.9 X…

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Q: Use the information to evaluate and compare Ay and dy. (Round your answers to four decir y = x4 + 1…

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Q: Find the distance from (3, -5, 7) to each of the following. (a) the xy-plane 7 (b) the yz-plane 3…

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Q: d) Standing at a Provincial Park entrance. Jim Walks Som to the northwest to a barn. From the barn…

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Q: Use an appropriate linear approximation to estimate (0.999)5. (Round your answer to three decimal…

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Q: 52-57. Choose your test Determine whether the following series con- verge or diverge. 52. 8 54. Σ…

A: (55). The given series is:∑k=0∞ kk2+1

Q: a certain strain of bacteria is placed in a petri dish as a part of an experiment.  The number of…

A: A certain strain of bacteria is placed in a petri dish as a part of an experiment.  The number of…

Q: 1 x + 2 the interval [3, 8] using eight approximating rectangles and right endpoints. Estimate the…

A: We are required to: a. Estimate the area under the graph of f(x)=1x+2 over the interval [3,8] using…

Q: A manufacture has been selling 1300 television sets a week at $360 each. A market survey indicates…

A: A manufacturer has been selling 1300 television sets a week at $360 each. A market survey indicates…