Consider the following double integral 1 = ₂ x dy dx. By converting / into an equivalent double integral in polar coordinates, we obtain:

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Q: In *In ecot³x dx feln sinx

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A: Given, limx→∞5x2+7x-9-6x2+2

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A: The given function is fx=5x4ln x on the interval [1.2, 3.7] we have to find its absolute extrema.

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A: As we know that, cosθ=basehypotenusesinθ=perepndicularhypotenusetanθ=perepndicularbase

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Q: (1) x² x² + 3 ſ dx

A: according to company rules,i have to solve one question when multiples questions are posted so…

Q: -4 Challenge #3 y = 1·3x 16 Adjust the equation so the exponential function passes through the…

A: Topic- exponential function

Q: I. Given: 3x - y - 2z = 1 -x + 6y -3z = 0 -2x-3y + 6z = 6

A: I am attaching image so that you understand each and every step.

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A: Let f(x)=cos(x)-x exp(x). Here f(0)=1&gt;0 and f(1)=-2.178&lt;0 Now, Root lies between 0 and 1.…

Q: If  f(x) = 3x + 4 and g(x) = 5 x,  find f(g(x)) and g(f(x)). f(g(x)) =        g(f(x)) =

A: We have given  f(x)= 3x+4 and g(x)=5x  We have to find  1) f(g(x))  2) g(f(x))

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A: Here we have to find the value of trignometric functions.

Q: Use the Laplace transform to solve the following initial value problem: y' + 7y - 18y=0 y(0) = 1,…

A: As per guidelines, I can answer maximum three sub parts of a question. Since you have asked for…

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A: Since the student has posted multiple questions and does not mention any specific question, so we…

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A: We need to determine given angles.

Q: Question 1 Given: 2y" + 5y¹ - 3y = 0; y(0)-4, y'(0)=9. Evaluate f(1).

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Q: (a) AB-BC (b) projABAC (the vector projection of AC onto AB) (c) the area of AABC

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Q: if the limit at infinity exists find the limit lim(inf)=3x^3+5x/4x^4+10x^3+2

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Q: verges. 8 (-1)"6" n=1 5n lect the correct answer below: a) The series converges absolutely O b) The…

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Q: Evaluate: L Blank 1 5 {}} 5 Blank 1 Add your answer

A: As we know from the inverse Laplace property; L-1a·fs=a·L-1fs  ; where a is constant And…

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Q: Determine the area bounded by y²=x+1 and y=1-x

A: Solution of given question is written in below steps.

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A: Here we have to find the sum.

Q: (a) AB X AC (b) the volume of the parallelepiped determined by AB, AC and AD

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A: The given equation is;  y''-4y'+4y=0 and y1=e2x

Q: -8 -4 Challenge #4 24 160 -8 0 -8 4 Plot four exponential functions. Each one should pass through…

A: we have to find the exponential functions passing through the blue point and the black point

Q: 70. If A = (4i-3k) and B= (-i+j-2k). Find the vector product of A and B. a. (6i+8j+k) b. (-6i+8j+7k)…

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Q: Find all numbers c that satisfy the conclusion of the mean value theorem. f(x) = 2x2 - 5x + 1, [0,2

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Q: √9-x Consider the following double integral 1 = So So By reversing the order of integration of I, we…

A: Mark the limits on the graph and then reverse the order

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A: The objective of the question is determine the general circle equation ,centre and radius.

Q: 13. g(x) = x¹nx

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Q: Use the Integral Test to determine the convergence or divergence of the following series, or state…

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Q: Euler found the sum of the p-series with p = 4: 3(4) - Σ Σ n = 1 Use Euler's result to find the sum…

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Q: Use linear approximation (or differentials) to estimate the given number. Estimate sin (5°) using…

A: 1. we have to find sin5° using that sin0°=02. we have to find ln3 using that lne=1 use the linear…

Q: 6. If y is a differentiable function of r and 24 + 2y5³ 5y2, then find - dy da

A: The given equation is x4+2y5x3=5y2

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A: Consider the function fx=12x5+15x4-240x3+2.fx has inflection points at reading from the left to…

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Q: (3x² + 8x + 1) dr if a=-2 and b=5.

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