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Q: The figure below shows various gradient vectors of a function f. Determine whether each of the follo...

A: (a) False Consider the gradient vector at (-2,2) Given: ∇f(-2,2) = -4i + 3j This is false because at...

Q: At which point/s (value/s öf x) iš thể füñčtión neither nor differentiáble DO NOT include the variab...

A: Solve the following

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Q: Use differentials to approximate v25.5 .

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Q: az Find az and ду e = 5x 2² + sin(r + 2) – y?.

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Q: 1/2x (In2) In x (use L'hopital's Rule)

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Q: Find the volumes of the solids generated by revolving the region between y= 4x and y = about a) the ...

A: Solved below

Q: - 2x + 1, r 2 Evaluate the following limits for h(x) and Justify your answer. (1) lim h(r) = (ii) l...

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Q: spac characters. * d Compute de y -8 at r =2. y +8

A: Topic:-  derivatives

Q: A www-awu.aleks.com/alekscgi/x/Isl.exe/1o_u-IgNslkr7 M Gmail 9 YouTube Profile 3...Jlabilu P PicsArt...

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Q: Which of the following best describes the function below? S (x)={** ifrso l-r' if 0<x ifx<0 A. Conti...

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Q: Given the vector function *(t) = (t, cos (2t)) Calculate the curvature when t=5.4

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Q: Suppose f " is continuous on (-o, o). (a) If f '(-3) = 0 and f "(-3) = -9, what can you say about f ...

A: Given that, (a). f'(-3) = 0  and   f''(-3) = -9 (b). f'(5) = 0  and   f''(5) = 0 We have to choose c...

Q: Determine the area of the trapezoid 8 ft 15.6 ft

A: Given query is to find the area of the trapezoid.

Q: The integral of tln i with respect to t is; © none of the given choices Oin-3)+c ln-1)+C

A:

Q: At which point/s (value/s of x) is the function neither continuous nor differentiable? DO NOT includ...

A: see below the answer and explanation

Q: 2x ²-11)dx x3+3x²-4

A: To evaluate the integral.

Q: Find the area of the region bounded by y = -x² – 6x – 3, y= -x2 – 8x – 13, x = -5, x = -2.

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Q: Determine if the lines intersect, or are skew, or are parallel. L1: x = 4+ 2t, y = -5+ 4t, z =1+3t L...

A: We will find whether the lines intersect, or are skew ,or are parallel as following.

Q: er the following function and express the relationship between a small change in x and the correspon...

A: Topic:- application of derivatives

Q: Find the equation of the tangent line to the curve y = x² – 5 if the tangent lir is parallel to the ...

A: we know that if two lines are parallel then their slopes are equalGiven that the tangent line is par...

Q: Find the values of a and b if the tangent to y = ar² + bx at (1,5) has a slope of 8.

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Q: 12.4(1-3n) – 2n = -20 - 6n

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Q: A potato is launched vertically upward with an initial velocity of 124 ft/s from a potato gun at the...

A: Initial velocity is given as 124 ft/sec and the distance is given as function of time s(t). We will ...

Q: Gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. It forms a pile i...

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Q: ( 22 – 3z + 1, z < 3 14- 2, *23 valuate the following limits for h() = and Justify your answer.

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Q: 14 If f(x) : t? dt then f'(x) =

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Q: dy Find using implicit differentiation, for the equation x + y³ = 9 is. dx

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Q: Find the equation of the circle shown. -7 -6 -5 -4 -3 -2 -2 -4- -5- of Write equation in standard fo...

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Q: If f(x) = 3 cot ' + 4, then find the value of f'(-1) is.

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Q: Match the integral expression on the left to its suitable transformation on the right, after using a...

A: ∫un du = un+1n+1+C ; where , 'C' is an integration constant. dsin(x)dx = cos(x) dtan(x)dx=sec2(x) dc...

Q: 3. Find the equation of the tangent line at point P(2,1) to the graph of the curve f(x) = v3x – 5

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Q: The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the t...

A:

Q: y = ecos²(x) is: eCos? %3D y' = - sin(2x)ecos²(x) y' = sin(2x)ecos²(x) the above the above y' = -2 s...

A: Here we will find the derivative of the given function,

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

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Q: An inverted pyramid is being filled with water at a constant rate of 75 cubic centimeters per second...

A: The rate at which water level is rising when the level is 5cm is 25cm/sec.

Q: da dy 3x? – 1 and dt Find at z = 1 if y = at x = -5. dt da dt

A: topic - derivative of a function

Q: Find a Cartesian equation for the curve. r = 7 sec(?)

A: Given query is to find the Cartesian equation if the curve.

Q: If f(a) = 3 cot- * + 6, then find the value of f(-8) is -6 V65 V65 оо оо о

A: Solution ) f(x) = 3cot-1x + 6 Differentiate with respect to x  f'(x) = 3 (d/dx)  cot-1x + (d/dx) (6)...

Q: Determine whether the series converges using the Ratio test. 00 7k k=1 The series

A: This question is based on Ratio test.

Q: Find the arclength of y = 2x/2 3/2 on 1 < x < 3

A: We know that the arclength of a curve y=f(x) on a≤x≤b is given by L = ∫ab1+f'(x)2 dx

Q: - The appropriate integrating factor for the following differential equation (2x + cosy)dx + (x²tany...

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Q: The coefficient of sin ( 2x) in the antiderivative of

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Q: DO NOT include spaces in between characters. * d (y -8 de (y° +8 Compute at x =2.

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Q: A potato is launched vertically upward with an initial velocity of 101 ft/s from a potato gun at the...

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Q: BE F(x, y) = #ty? y I THE FIELD DEFINED IN %3D 1²+y² 1²+y? D = R? – {(0,0)}. CALCULATE $ F •d7, · d7...

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Q: Week 8 Online Homework Introdu Score: 26.67/31 28/31 answered Question 9 Let g(x) = log,(x). Find g...

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Q: Solve the problem. A company knows that the unit cost C and the unit revenue R from the production a...

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Q: 4x³ (log3 x)" (csc5 x) Vsinh(2x – 8) b. y =

A: We differentiate the given function using quotient rule of Differentiation i . e .  If   y ( x  ) = ...

Q: 1 Evaluate lim (csc x)*- 2 X→- 2

A: