2. f(x) = 9x2 - 1 at x = 1

Q: x² + y2 + z? = 26, (1, 4, 3) (b) Find a set of symmetric equations for the normal line to the…

A: Let f(x,y,z)=x2+y2+z2-26

Q: af when r = 2, t =- 1 of the function ar 4. Use the Chain Rule to find- f(x, y, z) = e3xy² cos 2xyz…

A: This is a problem related to chain rule for differentiation. Based on the formula we will find out…

Q: Find an equation of the plane through (-8, 6, - 6) that is perpendicular to the planes 9x - y + z =…

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Q: . Prove the following using the epsilon-delta definition of a limit. b. lim x² = 4 X→2

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Q: Use the given graph of f to state the value of each quantity, if it exists. (If an answer does not…

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Q: 1. Which of the following is a convergent p-series? (A) n³ n=1 n (B) 3 n=1 1 (C) n=1 3 1 (D) n n=1

A: A) ∑n=1∞ n3     Since n is positive integer⇒  The above series diverges B) ∑n=1∞13n   It is not p…

Q: Which method/s can be used to find the volume of solid of revolution of the following? (Choose from:…

A: Note: we have to solve only 1 question so here 1,2 are related so I solve 2 question. Also breif…

Q: In the given integral below, what is the values of u and a? * dx V3 – x² – 2x - u = x + 1 and a = 2…

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Q: Evaluate the integral. [TI/3 2 sin(0) + 2 sin(0) tan2(0) sec2(0) de Step 1 2 sin(0) + 2 sin(0)…

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Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 4j + 4k and the vector component of v…

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Q: Find parametric and symmetric equations for the line satisfying the given conditions. Through the…

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Q: Find the value of x if mz1 = x mz2 = 2x – 10 mz3 = 2x + 10

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Q: 1 dx 5х e

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Q: The second derivative f" is defined on the closed interval [0, 8n]. Now test f" in the intervals (0,…

A: use the definition of concave upward and concave  downward .

Q: 17. Obtain the family of solutions and particular solution of the homogeneous equation, y?dx + (x2 +…

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Q: 2. Evaluate the following limits. /x²+3 d. lim X-0- X

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Q: Find the solution with the given initial condition. r"(t) = (e', sin (t), cos (f)), r(0) = (1,0, 1),…

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Q: 5. If f(x) = 2x² + 3x + 5, f(c) = 20, and the interval is [0,5], use the Intermediate Value Theorem…

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Q: Application: 1. f(x) = 6x5 – x* + 2x2 – 3 2. h(x) = sinx + cosx – sec²2x 3. (x3+2x2)dx

A: Find the antiderivative

Q: sin4x dx V cos4x + 1 COS4X

A:

Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A: The given function whose maxima or minima are to evaluate is: f(x,y)=xy with the constrain…

Q: Use Lagrange multipliers to find a vector in 3-space whose length is 6/3 and whose components have…

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Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 4j + 4k and the vector component of v…

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Q: 2. 52 Calculate the determinant for 2 3

A: As we know that, If the given matrix is A=abcdefghi then the determinant of the matrix is:…

Q: Find equations of the two tangent lines to the graph of f(x) = x² that pass through the point (-1,…

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Q: t's important to be able to recognize limits related to "e" when you're solving problems with…

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Q: Find the distance between the parallel planes – 2x + y + z = 0 and 6х — Зу — 3г — 22 — 0. - NOTE:…

A: Find the distance between the parallel planes.

Q: 4 - Find an equation of the Planc perpendicular to each of the planes X-y +2=0 and 2x ty - 4z -5 =0…

A: A detailed solution is given below

Q: = [] Given: h (t) Find h'(t). t² +2

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Q: 2. y = x2, y = x³ , revolved at y axis

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Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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Q: If F(u,v) = (u-v) / (u+v), Find r(금금)+ F(x)

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Q: Use the Mean Value Theorem to show that f(r) = 2x sinh(x – 1) + 2" – x %3D has a critical number…

A: Given: We can see that the function is continuous in [0, 1] and differentiable in (0, 1). So, the…

Q: In how many ways can 2 letters be chosen from the set (A, B, C, D, E, F} if order is important and…

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Q: rection: Determine if the given function is continuous and differentiable at the indicated values of…

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Q: X Your answer is incorrect. Edit Find the vectors that satisfy the stated conditions. NOTE: Enter…

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of PQ.…

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Q: Compute the following limit. 1-e3 3x as x approaches 0

A: To find,  limx→01-e3x3x

Q: 5 In(3x) dx 5ln (3x) +C 12. 4

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Q: Find an equation of the curve in the xy-plane that passes through the point (2, 3) and has, at every…

A: integration

Q: Find the parametric and symmetric equation for the satisfying the given condition. 1. Through the…

A: Given : Equation of plane is y+3x-6z=8i.e. 3x+y-6z=8   To Find : Parametric and symmetric equation…

Q: x = -Jy from y = 1 to y = 4

A: The objective of the question is determine the area bounded by the given function.

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (3, –4)…

A: A detailed solution is given below

Q: 4. x - 3

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Q: 3 4. f(x) = x - 5 A. x = -1 B. x = 2

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Q: Find the directional derivative of f at P in the direction of a. f (x, y, z) = ry + z²; P(-4,–3,4);…

A: We need to find directional derivative.

Q: s+2 s(s-3) 25 s(s-2)

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Q: 4. dy – (x - y + 1)²dx = 0

A: As we know that; ∫dxa2-x2=12alnx+ax-a+C   The given differential equation is: dy-x-y+12dx=0 So, we…

Q: alculate V3 + 2i. Give your answer in a + bi form. In polar form, use the angle 0 < 0 < 2n.

A: Given query is to find the value of a and b.

Q: The thermometer reading 70oF is placed in an oven preheated to a constant temperature. After 1⁄2…

A: The temperature of the oven is 390°F