If g = xy + yz + zx and Ē = x²yī+ y²zī+ z²x k, find F. grad g and cross product of F and grad g at the point(1,-1,2).

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Q: Find the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) 9 x+5. x= Ilm…

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Q: Calculate f((5x + 2y)i + (4x + 7y) 3) · dr where C' is the circular path with center (a, b) and…

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Q: Find the distance of the point (2, 6, 4)  from the x-axis by two methods

A: To find the distance between the point.

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A: The given function is: fx=x3+x2-x-2   As we know that; To calculate the critical point, f'x=0.

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Q: 4. Coffee at temperature 180°F is cooling in a room with constant temperature 75°F. If it takes for…

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Q: Calculate L6 for f(x) = √√7x + 3 over [1, 3]. (Give your answer to three decimal places.)

A: The given function fx=7x+3 over the interval 1,3 we have to the left Riemann sum using 6…

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Q: Find the marginal profit function if cost and revenue are given by C(x)= 185 +0.3x and R(x) = 3x…

A: Recall: Profit, P(x)=Revenue-Cost Marginal profit=P'(x) We have, R(x)=3x-0.02x2, C(x)=185+0.3x

Q: A periodic function f(x) is defined as 3, f(x) = {x, f(x+2) -1≤x<0, 0≤x<1. Based on the above…

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Q: Find both the vector equation and the parametric equations of the line through (0,0,0) that is…

A: Given that , Point =0,0,0 and parallel line r=3+2t , 7-6t , 5+4t find vector and parametric equation…

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Q: 2. A person invests $2,125 in an account earning 9% per year compounded continuously. How much will…

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Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) 4 (a) lim f(x)= x-c+…

A: A function is continuous at x = c iff limx→c+f(x)=limx→c-f(x)=f(c)

Q: Calculate M6 for f(x) = √√2x over [3, 6]. (Use decimal notation. Give your answer to two decimal…

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Q: Use the method of variation of parameters to determine the general solution of the given…

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Q: Determine the following indefinite integral. dx X√ 625 + x 2 dx S- x√√625+x² (Type an exact answer.)…

A: We have to determine the indefinite integral ∫dxx625+x2.

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Q: Evaluate the function at the given value of the independent variable. Simplify the results. f(x) =…

A: Evaluate the function at the given function of the independent variable.

Q: Question 1 [ Use the method of Lagrange multipliers to find the extreme value(s) of f(x, y) = xy…

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Q: Find the following limits (if they don't exist write DNE, ∞ or -∞ as appropriate): Answer: x-1 lim…

A: We need to find the limit limx→∞ x-12x2-7x

Q: Let f and g be functions satisfying that f(1) = 3, g(1) = 4, ƒ'(1) = 1, g'(1) = 5. For the following…

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Q: Identity the transformations (a) y=k(6x) + 3 of the function k(x). (b) y = 10k(-x) (c) y = .3k(x-7)…

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Q: wwww To find the slope of the tangent line to y = ln(x²) at the point (1,0) we must find the…

A: Recall: Slope of the tangent line

Q: Find the one-sided limit (if it exists). lim 11x² tan ex Step 1 The sign of the value of x² is…

A: To find the one‐sided limit if it exists.limx→12+ 11x2 tan πx

Q: Which of the following is the normal line at the point (-1, 1, 1) to the surface 2²-2y²-3²= -4…

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Q: Which of the following is the normal line at the point (-1, 1, 1) to the surface 22 - 2y? - 35 - -4…

A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question.

Q: Determine whether the sequence is divergent or convergent. If it is convergent find the limit. If it…

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Q: Write the equation for the plane. The plane through the point P(-2,-5,3) and normal to n = (2,7,8 O…

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Q: 7. Given f(x)=√x² + 3, determine p(x), q(x), and r(x) such that f(x) = p(q(r(x))). ✓✓

A: We need to find p(x),q(x),r(x)

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Q: Use an appropriate Taylor series to find the first four nonzero terms of an infinite series that is…

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Q: - lim x²ln x x->0+

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

Q: b\ Fill the blanks 2/3 (1) Suppose you have a matrix x = [33], 13 4/5/61 2) Suppose you have a…

A: To fill in the blanks.a Suppose you hava a matrix x=12343456, then x...=35.b Suppose you hava a…

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A: Concept: The angle of elevation: The angle of elevation is the angle created between the line of…

Q: In Exercises 1-2, let u = (3, 2, −1), v = (0, 2, −3), and w = (2,6, 7). Compute the indicated…

A: Note:- according to the company policy we can attempt only three subparts of a question so please…

Q: y = √√2x-5, y = 0, x=4

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Q: Verify directly that F is an antiderivative of f. 4x √4x² - 6 F(x) is an antiderivative of f(x)…

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Q: Determine the following indefinite integral. S dx x√√81-x 18

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Q: Find an equation for the surface obtained by rotating the line z = 7y about the z-axis.

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Q: Q1. If g = xy — yz — zx and F = x²y ī − 2 y²zī – z²x k, find F. grad g and cross product of F and…

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Q: First four terms of the sequence are: O O O ○ ○ O 6 {ff, 5 14 9 n²+5 n 1+4 n 61 36 26' 14 { 14/1/2,…

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Q: Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the…

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Q: Find the volume of the solid when the region enclosed by the curves y=x², x=1, x=2, y=0 is revolved…

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Q: y = ³/2, y = 8, x = 0

A: answer is in next step. please give a like .