Let f(x, y, z) = yexyz², then fxz is: Select one: O (4xyz + 2x²y³z²)exyz² O None of these O (2xy² + 4x²y³ z²)exyz² O (2y²z + 2x²y³ z³ )exyz² O (2yz + xy²z4)exyz²

Q: Compute the determinant of the matrix by cofactor expansion. 325 114 O-56 -8 O110 8

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Q: Integrate (3-2)¹0 dar Select one: OA.(3-2)¹¹ +C OB.(3-2)¹¹ +C 12 OC.(3-2)¹¹+C OD.(3-2)¹¹ +C 10

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Q: (x + 2y-1)dx − (2x + y − 5)dy = 0

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Q: Write the first five terms of the geometric sequence. a 1 =  -5; r = -3

A: We can find the first five terms as below.

Q: 15. Write an equation for the transformation of f(x) = |x| shown in the graph below. +

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

Q: x³-y²+z³ = 24.

A: F( x,y,z) = exyz f(x) = ∇f = (yzexyz , xz exyz, xy exyz ) λ∇g =  g(x) = 3x2 , g(y) = -3y2 , g(z) =…

Q: Devise the exponential growth function that fits the given data, then answer the accompanying…

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Q: -6 -5 -4 -3 1 6 5 4 3 2 -2 -3 -4 -5 -6+ 2 3 4 5 I 6 a The graph above is a transformation of the…

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Q: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated…

A: We can find the 5th term as below.

Q: L 2x²³ + 8x doc 3 √x² + 4

A: This question can be solved using the concept of integration by substitution.

Q: Evaluate the integral [x x cos x dx

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Q: Integrate | VE 1-4x² dx using a trigonometric substitution.

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Q: = Which of the following represents the shaded area between y J(a) and y = g(x)! 8 6 2

A: We are asked to find which is represented for shaded area between the curves

Q: Describe the surface with cylindrical equation r=6

A: We have to describe the surface with cylindrical equation r=6.

Q: The directional derivative of f(x, y) = -xe²y – x³y at the point (0, 4) in the direction of the…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = √ 1 + ex,…

A: We need to find Surface area.

Q: f(x, y) = x²y + 4y and x = st, y = 2t - 3s. af and off. af Use Chain Rule to find ds Write your…

A: Follow the procedure given below.

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

A: Find critical points by putting derivative of f  equal to zero

Q: Find the second partial derivative for the function z = x7-7xy + 6y2 with respect to x.

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

Q: w = sqrt(25 - 4x2- 4y2),  x=r cos(theta),  y=r sin(theta) (a) Find del w / del r and del w / del ?…

A: If w=f(x,y) ; x=g(r,θ) and y=hr,θ then           ∂w∂r =∂w∂x.∂x∂r+∂w∂y.∂y∂rand…

Q: If f is a differentiable function and % up on Selected Answers: (0,1) f'(x)=x5 − 5x4+ 5x³+2, then…

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Q: Estimate Ay using differentials. .1/3 y = x¹/3 e³x-1, a = 1, dx = 0.1 -

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Q: Recopy the picture onto your paper for best results Given: mLBEC = 46°, mzDEC = 29°, CD=7, AD=8 B C…

A: Disclaimer: Since you have posted multiple subparts for a question, we will solve first three sub…

Q: Consider the following. f(x, y) = 6x9y (a) Find f(5, 3) and f(5.1, 3.05) and calculate Az. f(5, 3) =…

A: Let's find total diffrential.

Q: Find both first partial derivatives z ² = In ( \ ) (No Response) (No Response) az əx дz ay

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Q: Discuss the continuity of the function. sin(z) ex + ey f(x, y, z) = continuous except at (0, 0, 0)…

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Q: Integrate farcsin 3x da Select one: O A. xarcsin 3x + √1-9x² + C O B. xarcsin 3x + √1-92² +C O C.…

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Q: a) [ Evaluate the integral 4x - 1 (x + 2)(2x - 1) S -dx.

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Q: B a A b Use the right triangle and the given information to solve the triangle. a=2, c = 4; find b,…

A: Let's solve given triangle.

Q: a. Use limits to find the derivative function f′ for the function f. b.Evaluate f′​(a) for the…

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Q: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated…

A: We have to find the 10th term. The general term geometric progression is given by- an=a1rn-1

Q: Let f(x) = x² - 5x. (A) Find the slope of the secant line joining (3, ƒ(3)) and (9, ƒ(9)). Slope of…

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Q: Consider the following function. f(x) = (x - 3)ex (a) Find the critical numbers of f. (Enter your…

A: We have to find the critical points, monotone intervals and relative extremum.

Q: Evaluate the integral: CT/2 cos² (4x) sin³ (4x) dx.

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Q: [ Find r'(t) r" (t) given the following vector function. r(t) = (4²+2t)i + (51²+5t)j O 33 +164t…

A: We have to find out derivative

Q: Choose the correct answer for the following limit: lim (x,y) →(0,0) O -1 0 1 625 x¹-16 y 100 x² +16…

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Q: Find the unit tangent vector to the curve given below at the specified point. r(t) = 7ti−2t²j¸ t = 4…

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Q: Choose the normal vector of the tangent plane to the surface defined by at the point (-4, 2, e88). O…

A: Given problem:- Find the normal vector of the tangent plane to the surface defined by…

Q: Find the partial derivative fx for the function f(x,y)=√16x+y³ f(x,y)= fx(x,y)= Of(x,y)= f₂(x, y) =…

A: We need to find partial derivative.

Q: Use Newton's method to approximate a root of the equation cos (x² + 4) = 2³ as follows. Let x1 = 2…

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Q: If f is differentiable and ƒ'(x)=x³− 2x² − x+2, then f is increasing on Selected Answers: [None…

A: In this question we have to find interval in which function is increasing.

Q: E. (DERIVATIVES OF TRIGONOMETRIC FUNCTIONS) 1. If f(x) = secx + 3 csc r, then 2. If g(x) = x² sinx -…

A: To find the derivatives of the following functions.1 fx=sec x+3 csc x2 gx=x2 sin x-3x cos x+5 sin x

Q: 2. f (x²-16) ²/2 dx x3

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

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Q: Find ow/os and aw/ot using the appropriate Chain Rule. Function Values w = sin(7x + 8y) x = s+t,…

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Q: Choose the gradient of the function f defined by f(x, y, z)= In[1 + (17xy + xz +9yz)²].…

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Q: Shouldn't the 6 be divided by a two, so f'(c) = 3?

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Q: Find the Taylor or McLaurin series for the following functions f(x) = X 4+x², a=0

A: Here , we have to find out the Taylor series expansion for the given function.    Where , given…

Q: Part b: (**) We consider the function f(x, y) = x sin y - y cos x + X-R y Find fx(x, y), fxy(x, y),…

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Q: 1. Given f(x) = x² + 7x + 12 and g(x)=x²-9 Find (f+g)(x), (f-g)(x). (f g)(x), and ()(x). 2. Given…

A: .