Is f(x) = -3 A. Yes B. Does Not Exist continuous at x = 3? C. No D. Cannot be determined

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Q: 3. Compute f(x)dx 2x f(x) = { 4 if x < 1 if x 21

A: Evaluating the definite integral by splitting the integral at x=1

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Q: 83 −1+1/²/(₁-¹² + e²) Option 2 1-1/2 (e-² + e¹²) Option 4 -1-1/17 (₁²¹ + e²) Option 1 1 + 1/² (e + +…

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Q: 1. Find the general indefinite integral. 5e + 3 sin x dx (b) ["be²

A: We have to solve this given integral . For this first we solve the general indefinite integral &amp;…

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A: As per our guidelines we are advised to solve first question . Please upload other questions as a…

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Q: 19. Find potential function for = (3xy, æ³)

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Q: - 1/2 Find the gradient of f(x,y,z) = (x² + y² + z²) 23 23 26 Vf|(- i+ - (-2,2,-1) 54 |j+ 54 27…

A: The function is f(x, y, z)=(x2+y2+z2-1/2+ln(xyz)  The point is (-2, 2, -1)

Q: Find Vf at the given point. f(x,y,z) = x² + y² - 4z²+zlnx, (1,1,3) Vf|(1,1,3) = i +(\)j + ()k…

A: Topic:- application of derivatives

Q: Find The Inverse Laplace

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Q: Given the function y = 8e-²x² + 7 sec² 5x – 4 ln x³, find y'. Solution: y' = 4(3)x² x³3 +8(−4x)e-²x²…

A: We will find the y' of the given function in the following step.

Q: If the population of a city is 155,000. If the population declines continuously by 5% per year, what…

A: Question-   If the population of a city is 155,000. If the population declines continuously by 5%…

Q: dy 5. Use Implicit Differentiation to find dx a) 4xy + x² = 4 - Iny³

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Q: d e) (In|sin x)) dx

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Q: SUBJECT: DIFFERENTIAL CALCULUS NOTE: Make the solution detailed and clear in a sheet of paper.…

A: Topic:- application of derivatives  Note:- as per our guideline if more than one question uploaded…

Q: A horse tied to a post with twenty foot loop. What is the longest path that the horse can walk? a.…

A: Here we have to find the circumference of a circle.

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Q: A particle moves along the path whose parametric equation are x = t³ and y = 12t2. What is the…

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: 2. (a) | +4 Evaluate the integral. √2x + 1 dx

A: Taking substitution as 2x+1 = t

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Q: 5.) Find fog and go f, and their domains. f(x)=√x - 4, g(x) = x²

A: Given :f(x)=x-4g(x)=x2

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A: Equation of tangent to curve is given.

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Q: From the following table of values, find the approximate value of f'(1.5) 1.2 1.7 1.5 0.4055 f(x)…

A: Given

Q: 7x Find the linearization L(x,y) of the function f(x,y) = e cos (9y) at the points (0,0) and 0, ¹2…

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Q: Assuming that z is a differentiable function of x and y., Let F(x,y,z) = In(x²y) - e³² -tan-¹ z.…

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Q: Find the equation for (a) the tangent plane and (b) the normal line at the point Po(2,0,2) on the…

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Q: f) y = sin-¹ (x² - 1)

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Q: Flag question Find all the possible x-values of f(x) = √√x - 10

A: In this question, we need to find the possible x-values of the given function.

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Q: 9x3+3x²-12x Solve for the vertical asymptote/s of f(x) = 9x3+30x²+24x

A: To find vertical asymptote we will put the coefficient of y equal to zero.

Q: The doubling time of an investment is the amount of time it takes to double in value. If an…

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Q: [CLO-2] Evaluate the Indefinite integral by using the substitution rule. S√tan (x) sec²(x) dx…

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Q: Solve the following differential equation on the interval (0, ∞) (in other words, dy y² = x² + y² dx…

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Q: to find the areas Yuse 2) Use a polar integral enclosed by the three - petaled r = singe

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Q: Find all critical points of the function f(x) = 4x² 3x²-2x+12

A: Here we have to find the critical points.

Q: Determine the constant a so that the vector V = (x+3y)i + (y-2z)j + (x+az)k is solenoidal.

A: Follow the procedure given below.

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Q: {CLO-3} The function f(x)=2x4-4x² has a local maximum at x=-1; and a local minimum at x=0 has no…

A: Topic:- application of derivatives

Q: Given z *- Find Z*** www.xy. www Option 1 Zxx = -2x³ Zxx = -2x-3 Option 3 Zxx = 2x 3 Option 2 none…

A: Given