Find a potential function f for the field F = e²y + 52 (2 i + 4x j + 10x k). A general expression for the infinitely many potential functions is f(x,y,z)=

Q: Suppose the functions heas and reas are defined follows beas = 5x=2x² rexlx23x4 X+2 -2 Write down Oh…

A: We have to solve the given inequalities.

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Q: Evaluation. Find the antiderivative of the following exponential expression. Show complete solution.…

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

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Q: A) None 3 В) 512 Зл 256 3 256 Зл 512 (C) (D) Ε) sin√xcos√x √x E -dx is equal to

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A: We have to evaluate the integral.

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A: On solving this we will get

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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: 2. x²+x+2₂ x²-1 -dx

A: Follow the procedure given below.

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Q: Use Cartesian coordinates to set up the iterated double integral given by III ² av dV D where D is…

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Q: QUESTION 1 In x Complete the following table to evaluate the limit lim X-00 √x Step Explain the step…

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Q: 2. 2 4 Scot² 3x csc + 3xdx

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Q: For the function y=x√ find the values of x for which the rate of change of y with respect to x is 6?…

A: Given: y=xx ⇒y = x32 Rate of change of y with respect to x is defined as dydx

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

Q: 7. fx² cos mx dx, where m is constant.

A: We have to solve the integral

Q: y = 9x² and y = 0 about x = -4

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

Q: Solve the given function using chain rule of differentiation. Show your full solution.

A: Given

Q: Cynthia's investment of $81,200.00 in a fund matured to $160,353.29 in 7 years. If the interest in…

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Q: For x 1/2 -dx and using the substitution u=x 1/2, the resulting integral takes the form: x-x 4u -du…

A: We can rewrite the given integral by using this substitution u = x1/2

Q: 6x⁹-x5+ 27 A B R C D) 0 E) None K|N 2 4-x² dx is equal to

A: Explanation of the answer is as follows

Q: dx S= can be transformed to which of the following when trigonometric substitution is used (x²+4)²…

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Q: 7. fex tan¹(ex dx

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Q: Create a symmetric equation of a line with the digits 6, 8 and 4. Does the point D (7, -1,8) lie on…

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Q: 9. [cos° { xsin’ } xdx

A: The objective of the question is evaluate the indefinite integral.

Q: For the function z = x² +2y²-4x+4y, which of the following statements is true? O a. The function z…

A: Given,  z=x2+2y2-4x+4y

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A: The geometrical meaning of derivative is , the slope of the line segment tangent to the function…

Q: Which of the following is a polynomial function? C. 2x+7 A. g(x)=√x-7 y = B. f(x)=2*-5 D.…

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: 50 [" (ax³ + bx² + cx) dx=2b -50 A) True B) False 50 x²dx

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Q: 19. dx 1 Je²x_8 2x -8

A: The solution is given in the next steps.

Q: 20. S dr √3-4r-r²

A: On solving this we will get

Q: Two sides of an oblique triangle are measured as 80 ft and 100 ft and the included angle as 60°. If…

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

Q: hello, could you sketch the graph please

A: Let's sketch the graph.

Q: 12 [ sin* ‡nxdx

A: We can find the answer as below

Q: √ ² si 2 63 16 105 2n C 63 D) None Evaluate: A (B 2 sinxcos³xdx is equal to

A: Given query is to find the integral.

Q: 8. fx(1+x)²/³ d dx 2/3

A: SOLUTION-

Q: Determine whether the lines L₁ and L2 are parallel, skew, or intersecting. L₁: x = 6 + 4t, y = 8 -…

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Q: 11. 5 [ese xdx

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Q: 7 dx x4 - 16

A: Given: I=∫7x4-16dx   As we know the common integral. ∫1ax+bdx=1alnax+b+C And ∫11+x2dx=tan-1x+C

Q: 3. f(e-²x - 1) dx

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Q: Lemma*: If z(x, y) = W+H, then xZx + y2y = (xWx+yWy) + (xHx + yHy).

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Q: (e) x = = 2y², x = 4 + y² - (f) x = 1 — y², x = y² – 1 32 Answers (a), (b), (c) In 2-1, (d), (e)…

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Q: 20. √9-5x² X -dx

A: SOLUTION-