Find a formula for the slope m of the graph of f at the point (x, f(x)). Then use it to find the slope at the two given points. f(x) = 3x3 m=

Q: Consider the following. u = 3i - j - k, v = -i + 5j + 7k %3D (a) Find the projection of u onto v.…

A: Given :  u=3i-j-kv=-i+5j+7k   To Find: a)Projection of u onto vb)Vector Component of u orthogonal to…

Q: Use the quadratic formula to solve for x. 5x+5x-1=0 (If there is more than one solution, separate…

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Q: x³ – 11. What is dx ? х-1 x2 + 2x + C x3 x3 A. + C B. +x+ C C. 3 D. x(2x²+3x+6) + C 12. In solving S…

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Q: nin m Find the distance between the point and the line given by the set of parametric equations.…

A: This question is based on 3-d line.

Q: Use a double integral in polar coordinates to find the volume V of the solid bounded by the graphs…

A: Given problem:- Use a double integral in polar coordinates to find the volume V of the solid bounded…

Q: B a12 16 Havithmetis sequence first tom anas and its hasis r= -2 its seven the termay?? 2-17 O az217…

A: Answer -  a1 = 5 Difference (r) = -2 Find 7th sequence

Q: 3. Jo F(x)dx=-7, S9(xdx= -12, S 9cx) dx - -15 9(X) dx = -15 Find the value a Such that (af(x)…

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Q: a, given that the line ax+y+1 = 0 is tangent to the grapl

A: We have to find the value of a according to the given information

Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region…

A: Given problem:-   Set up, but do not evaluate, an integral for the volume of the solid obtained by…

Q: If we apply Rolle's Theorem to the function f(x) = 2x – 12x – 3 on the interval [1, 5], how many…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: F the curve. -)i + sin(nt)j

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Q: Verify that the two planes are parallel. -x + 6y + 2z = 4 -*+ 3y + z = 5 Find the normal vector, n,,…

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Q: Sketch the region of integration. (Select the correct graph.) "In 3 dy dx In y y y

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Q: Describe the graph of the equation. r = (8 - 3t) i - 14t j O It is a line in 2-space that goes…

A: Let's find.

Q: Find u v, u·u, ||v||², (u · v)v, and u · (3v). (5, -2, 4), v = (0, 7, 5) U = (a) u V (b) (c) ||v||?…

A: The given vectors,  u=5,-2,4, v=0,7,5

Q: 2. What is the extraneous root of 2 log3(x + 4) - log3(-x) = 2?

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Q: Determine if the given sequence converges or diverges. If it converges, what is its limit? n+11 (d)…

A: As per the guidelines I am supposed to do the first question among multiple questions. So I am doing…

Q: a) Find the fifth term of the sequence 16 31 46 61 9. 15 21' 27 b) Find the general term of the…

A: See the answer below

Q: Solve the equation: xydx + (x² + y²)dy = 0 O y²(2x² + y²) = c O 2y(2r² + y²) = c

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Q: If A and B are similar, then there exists a matrix P such that Bk = P-1AKP., Use this fact to find…

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Q: The sum of the geometric series 1 3-1+ 3 1 + 9. 1 +- 81 - 27 is: none 13 914 OO O

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) V…

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Q: Consider the function f(x) 1 on the interval 4, 8]. Find the average or mean slope of the function…

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Q: Find the component form and magnitude of the vector v with the given initial and terminal points.…

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Q: For each of the following series determine if the series converges c for series convergence or…

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Q: 3. Find the derivative of y = sin² 3x two different ways, a. Use the product rule. b. Use a power…

A: Here is the solution:

Q: Find the following. u = (0, 1), v = (5, -3) (a) |u|| (b) ||v|| (c) |u + v|| (d) |u| M (e) U + V (f)…

A: We can solve this as follows:

Q: れお! /0 fi23)=4 4 (か) 2,十 F) Eanals it Ofiles)= 12 D Not if tha above

A: Given: Fx,y = x3y2 To find: Fx2,3 We know that Fxx,y is differentiation of Fx,y with respect to x ,…

Q: Solve the following differential equation using variation of parameter. 4y" – y = xe"/2; y(0) = 1,…

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Q: Find the derivative of the function described. (Rx5) 3. f (x) = (1 +x + x² + x³ )'³

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Q: Find the arc length of the parametric curve. x = 3 cos(t), y = 3 sin(t), z = 4t; 0<t<+ L =

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Q: Homogeneous or Not? State the degree of the function. 4x^2-3xy+y^2

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Q: Sketch the region in the plane consisting of points whose polar coordinates satsfy the given condi…

A: formula  r2=x2+y2   condition  1&lt;r≤3   for r = 1 r2=x2+y2x2+y2=1 which is equation of circle with…

Q: Which of the following is a particular solution to the differential equation dx when x = e5 and y =…

A: We are asked to find the particular solution of the differential equation

Q: Determine Y for y= 5x²(1 + x²).

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Q: Bones from the skeleton of a fish have lost 30 percent of their carbon-14. Note that for carbon-14,…

A: Formula  Given  k = 0.000124 It lost 30 percent of carbon  The left is 70 percent

Q: xel+x/2 dx V

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Q: What is the area of the region bounded above by y = 2x and below by y = X on the interval [0, 3]? 8…

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Q: Consider the function y= >x3 – 9x + 4. a. Sketch the graph of y= x3 – 9x + 4. b. Find and describe…

A: Let's find.

Q: Given the series: k=0 does this series converge or diverge? O diverges converges If the series…

A: The given series is ∑k=0∞-16k. To check convergence of the series we use ratio test. Suppose we have…

Q: Find the following. (0, 1), v = (5, -5) (a) lu|| (b) v|| (c) ||u + v|| (d) (e) ||v|| u+v

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Q: Basic Derivatives: Find the derivative = (1 + vx* kx° V 8. f(x)=- 7x – 4x? x +2x y° – 5y³ + 2y 6.…

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Q: dz (a) Find of the following functions: dx 2+1 +cos y? = sin(y'+ 22z) COS 7 ZX %3D

A: Solving

Q: The vector v with initial point (0, 0) is shown below. Write v in the form v=ai+bj, where a and b…

A: Given ,  The vector v with initial point (0, 0) We have to write v in the form v = a i + b j where…

Q: attern on the graph as well as the space provided

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Q: 5) (x3 cos 9x dx

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Q: -1 8 - 2 Use this procedure to find the inverse of A =| -6 49 -4 34 -5

A: We can solve this as follows:

Q: 5x(V1 + x-) dx

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

Q: Business Decisions Sharon, the owner of the Brentwood Motel, is planning to renovate all the rooms…

A: Answer is in below steps.

Q: The geometric series 4 5-2+ 5 16 + 25 8 32 125 625 is convergent. true false

A: