If f is a differentiable function and ƒ"(x)=x4+2x³− 15x², then f has an inflection point at

Q: If f(x)=2-3x². O a. O b. O c. lim h→0 lim h→0 lim 30 From first principles select the correct step.…

A: Given :fx=2-3x2

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: Let f(x, y) be a function with continuous second partial derivatives. Suppose we know that (-1, 2)…

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Q: 3+13 -t 5. Consider the vector valued functions x₁(t)= and x₂(t)= t2 -(3) (a)Compute the Wronskian…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Perform a first derivative test on the function ​f(x)=2x3 +3x2 −12x +4​;​[−2​,4​].   a.  b.Use the…

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Q: 8. Solve the differential equation: y' √x 7y

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Q: -π/3 sinx-cosx sinx+cosx Evaluate f dx

A: To evaluate the following integral.∫0π3 sin x-cos xsin x+cos x dx

Q: Eliminate the parameter to find a Cartesian equation of the curve. (b) Sketch the curve and indicate…

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Q: A rate of change of H is given by Solve for k where H > -25. O 0.458 O 0.346 0.255 O 0.144 dH = k…

A: topic- differential equation

Q: A store finds that its sales revenue changes at a rate given by S'(t) = -30t² + 400t dollars per day…

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Q: 2) S (x³ - 7) dx

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Q: Find the instantaneous rate of change for the function at the given value. g(t) = 2-1² at t= -6 The…

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Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = 8xe…

A: The given function,  z=8xey-12ye-x

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A: You need to understand the question by reading it properly and then draw the figure required for…

Q: Find both first partial derivatives. f(x, y): fx(x, y) fy(x, y) xy x² + y² = (No Response) (No…

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Q: The distance from the ground of a person riding on a Ferris wheel can be modeled by the equation d =…

A: Follow the procedure given below.

Q: Solve the initial value problem y(x)= dy da + y cos = 4 cos x, y(0) = 6

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Q: Find the volume of the solid generated by revolving the region bounded by the curves y = sin x + 1…

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Q: Function: w = y3 - 3x2y, x = es, y = et Point: s = 2, t = 2 Find del w/del s and del w / del t using…

A: If w=f(x,y) and x=g(s) and y=h(t) then,          ∂w∂s =∂w∂x.∂x∂s+∂w∂y.∂y∂sand         ∂w∂t…

Q: 2/4 + ²/81 + ²/1/729 t. Ⓒ274

A: 2.Solution:29+281+2729+.......29+292+293+.......this series is geometric series.Common…

Q: 1. Which of the following is the value of n so that a. 0 b. 1 tan tan"x cos³x dx = c. 2 d. 3 1 sin³x…

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Q: P(x)=92x-x^2-1760 find limx->40 P(

A: Apply the limits and find the value

Q: find the standard equation of the sphere with center (4,3,3) and radius 7

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Q: Find the volume when the following region is rotated about the y-axis: y = √4x², y = 0, x = 0.

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Q: Rewrite the following equation with the variables separated. 3xy' + 2y = sin(y). dy (sin(y)+2y) O O…

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Q: ind the directional derivative of the function at P in the direction of v. (Give your answer correct…

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: Since you have asked multiple question, as per company guidelines we will solve the first question…

Q: Find 10 partial sums of the series. (Round your answers to five decimal places.) 00 n=1 15 (-2)^

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Q: determine if u and v are orthogonal, parallel or neither u=3i + 6j v=9i+12j

A: We need to determine if u and v are orthogonal, parallel or neither u=3i + 6j v=9i+12j

Q: Find all relative extrema. Use the Second Derivative Test where applicable. (If an answer does not…

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Q: Solve the initial value problem: y(x) = 0. dy da + 3y = 7, y(0) = 0

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Q: 6. Σ(-1)n-1 sin (2) n=1

A: Explanation of the answer is as follows

Q: Find the general solution to: dy X xẩy = xảy x²y d y = o y = Cet² ° y = Cezx² ○ y = ex² ez x² + C…

A: We need to find out the general solution of the differential equation.

Q: Estimate the slope (slope = rise/run) of the tangent line to the curve. Ay for 19 8 7 -6- 5 4- -3- H…

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Q: 2. A circular cylindrical hole is bored through a solid sphere, the axis of the hole is being a…

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Q: Choose the normal vector of the tangent plane to the surface defined by Z = e6x²+14xy-5y² at the…

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Q: The vector v and it's initial point is given find terminal point v=, initial point (-7,-8)

A: In this question we have to find terminal point.

Q: 14. Σ(-1), Inn n! n=1

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Q: Calculate the first eight terms of the sequence of partial sums correct to four decimal places.…

A: This question can be solved using the concept of convergence and divergence.

Q: Use the function to show that f(0, 0) and f(0, 0) both exist, but that f is not differentiable at…

A: Concept: Partial derivative: In differential geometry and vector calculus, the partial derivative is…

Q: СЕГ pxy xdzdydx

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: The Disk Method :  Consider the curve x=f(y) and the y-axis between y=a and y=b and is rotated about…

Q: Find the limit as x approaches 3 for x²-3x 2x²-5x-3

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Q: Given sec 8- -13 $ 3 03 N what is cos?

A: Solving the problem by finding the value of Cos.

Q: Calculate the sum of the series Σ n = 5-6(0.6)" 00 n = 1 n whose partial sums are given.

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Q: c) x² + xy = 2x² +1. d) = 2² sin(3r) +2. d

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Q: y(0) = -1 0 = (0),

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Q: 52. If lim f(x) = 6 and lim, g(x) = 3, find x-2 (a) lim [5 f(x) - 4g (x)] (b) (c) lim [4 - xf(x)]…

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Q: d.) s 2x+3 x243x-1 dx

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Q: Given the function of two variables f(x, y)= ln (√x + y6) The partial derivative with respect to x…

A: using the partial derivative,