Find the gradient of the function at the given point. Function Point f(x, y, z) = V x2 + y2 + z? (7, 8, 5) Vf(7, 8, 5) = Find the maximum value of the directional derivative at the given point.

Q: 6 Use a trigonometric identity to find cos (x - - ) if sin (x) = (Express numbers in exact form. Use…

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Q: Find the tangent plane to the equation z = 7e. 4y at the point (8, 16, 7) = Z Question Help: D Video…

A: Given z=fx,y=7ex2-4y        Point x0,y0,z0=8,16,7 To find the tangent plane:

Q: Give the curve r = 3 cos 0 b) Find the points on the given curve r = 3 cos 0 where the tangent line…

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Q: 8. Find the volume of the solid generated by revolving the region bounded by the curve y = 4 – x²…

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Q: Find the area of the parallelogram that has u = 2i – j+ 2k and v = 2j + 3k as adjacent sides. %3D…

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Q: Find the Volume y=0, y= 1/x, x=1, x=4 revolving at the x-axis

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Q: wane lenit oy al o The curve y = x², 0<x<1, is rotated about the y-axis. Find the area of the…

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Q: Find the x-coordinate of the inflection point(s) of y = f(x)

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Q: 1 Suppose that L is a location function of an object, given as L(t) = We will compute the 3t – 2…

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Q: 3. Use a sign chart for f" to determine the intervals on which each function f is concave up or…

A: As per our guidelines we are supposed to answer only first three subparts of a question. Kindly…

Q: Solve the exponential equation by using the property that b^x= b^y implies x=y, for b>0 and b≠1.…

A: Given query is to find the value of x.

Q: 10. dx 1+cos 3x In(1+cos 3x) + C %3D - 3 _11. S 2(cos x)(sin²x)dx 2 + C 3

A: As you mentioned  only 10 &amp; 11 solved

Q: Šolve the following problems completely and accurately. Part 1: Solving Differential Equations (1)…

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Q: dy +y= y2 sin x

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

A: Here we have to find the vector w.

Q: Solve the following differential equations using the method of undetermined coefficients. y" + 4y' +…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: The function 7) = x-21 at x-2 has X-2 a a removable discontinuity b. ajump discontinuity an infinite…

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Q: Evaluateſ (3x + 2)dx A. 3x2 + 2x +C B. 2x² + 2x + C c 를2 + + 2x + C D. + 2x + C

A: The objective of the question is evaluate the indefinite integral and choose the correct option.

Q: Consider the planes x – 10y – 2z = 3 and 2x – y + z =-13. Find the following. 1. The cosine of the…

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Q: Part 3. Provide solution in finding the derivatives of the given function 1. y= 4x5-2x + 3x- 10 2. y…

A: Let's find.

Q: 18g(x) - f(x)]dx =] %3D 2 (Simplify your answer.)

A: This question is based on substitution of given integral.

Q: Differentiate the following using logarithmic differentiation. Vcos? x*(x-1)3 3. y = %3D (x+vx)

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Q: On what interval(s) is f(x) concave down? f(x) In(x? + 3) %3D (-0,00) O(-∞,-V3), (V3,00) (-V3, V3)

A: Let's find.

Q: Solve the following differential equations using the method of undetermined coefficients. y" – 2y" +…

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Q: Let I = / (7x + 14y²) dA where %3D D is the region between y = 3x² and y = 12. a) Sketch the region…

A: see below the answer and explanation

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(8,…

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Q: 1 (5* )csch- if y= (e oshS ) In Vx² +1 2 a) Find dx dy x+1 x>0. 2 x++1

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Q: Differentiate y=x^lnx

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Q: Question 5 Determine the magnitude of the com

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Q: Find the volume of the solid of revolution if a quarter of an ellipse in the first quadrant with…

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Q: find of the f llowing 2. 2 -5x*

A: Solution of question is written in below steps.

Q: At what intrest rate would a deposit of $30,000 grow to $70,895 in 20 years with continious…

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Q: The value of the double integral // (2x²y + 9y') d A, D where D is the region bounded by x and y = 2…

A: Given problem:-

Q: Find the Fourier series of f(x) as given over one period and sketch f(x) and partial sums: so if…

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Q: Find the relative maxima and minima of y by the second-derivate test: y= x^3+6x^2+

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Q: Finding a Limit In Exercises 11-28, find the limit. Use a graphing utility to verify your result.…

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Q: Evaluate the following integral using the method of partial fraction. (6x²+ 41x + 110)dx b. S (x +…

A: Given:     ∫6x2+41x+110x+2x2+10x+29dx Perform partial fraction decomposition:

Q: (cof 5X + CSC 5Xdx

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Q: ur understanding. Write TRUE on the space provided if the statement is if incorrect. i dx = 2x-5 In…

A: We have to consider the given statement is true or false

Q: sin r da 4.

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

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the ezact answers using the…

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Q: The equation x10 – 10x2+5 = 0 has a root in (0, 1) Select one:

A: The given equation is x10-10x2+5 =0  and the given interval is 0, 1. Let f(x) be continuous function…

Q: f(x, y) = R is the rectangle bounded by +1 -5<x<5 and 0<y<1.

A: Given function fx,y=1ex2+1Region R is bounded by -5≤x≤5 and 0≤y≤1.Surface area of over region R is…

Q: 1 (5* )csch dy if Find dx 1. (а) y x>0. (ecosh 5x ) In Vx +1 d Show that for x 2 1, coshx- dx (cosh²…

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Q: Qi: The dimensions of a rectangular region are varying with the time (t) according to: L = 2t2 -8…

A: Consider a function y=f(x)  Then f '(x) is the rate of change of y with respect to x.

Q: 1 (5* )csch dy x+1 1. (а) if Find dx x > 0. y = (ecosh S* ) In(Vx² +1

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Q: If the function /6- 830 is continuous at x=0, then a- 1+2acosx D a 1 6 -1

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Q: Find an equation of the plane with the given characteristics. The plane passes through the point…

A: Here, note that any plane through the point P(14,-12,7) is of the form:…

Q: Expand cos'x as a series of ascending powers of x.

A: We have to expand cos2x as a series of ascending power of x. Recall that:           cos2x =2cos2x -1…