Find the equation of the secant line on the curve f(x) = -x²+2 passing through the points xo = -1 and r1 = of f. 2, and show this line on the graph

Q: Consider the following. u = (6, -1, 0) v = (-2,3,0) Find u x v. Determine if u x v is orthogonal to…

A: Explanation of the answer is as follows

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

A: Find your answer below

Q: 4. Solve the initial value problem 8+ 3y = sine 0 > 0, y(n) = -5. %3! de

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Q: 1 1+ 2023 x If 1+- then the value of %3D

A: Answer is 2024.

Q: Determine

A: We have to determine the given series is converges or diverges

Q: 1) Sketch the curve. a) r=-2 sin 0 Show All Work

A: Given

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

A:

Q: Determine if the sequence is increasing, and/or bounded. 3 — п (b) { (a) 1 — Зп - 3n n=1

A: Given

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

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Q: A region bounded byf (y) = Vỹ + 1, y = 4, y = 9, and x = 1 is shown. What is the volume of the solid…

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Q: Determine if the given sequence converges or diverges. If it converges, what is its limit? 5+ 3n3…

A: As you have asked for the solution of questions a -c only. So I am solving those only. Thank you.…

Q: Eliminate the constant 'a' from the equation. (x – a)² + y? = a² O (x? – 2y)dx + 2xydy = 0 (x² – y²…

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Q: Sketch the region R whose area is given by the iterated integral. dx dy 3 3- 2- 2- 1- 3- 3 2 3…

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

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Q: Evaluate the integral. In(x) dx, y > 0

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Q: x- 9x + 3x? The limit of the function f(x) : as x approaches negative 3x-4+ 5x2 infinity is equal to…

A: Find your answer below

Q: Consider the function f(x) = 3x – 2x on the interval [- 3, 3]. Find the average or mean slope of the…

A: We know that the average or mean slope of the function f(x) on the interval a, b = f(b)-f(a)b-a

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

A: Given  u = 0, 1, v = 5, -3

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: d?y +5xy = 0 dx +(sin x) 2 dy +2 dx dr3 = 1 dx2 O Option 1 O Option 2 d²y +3y dy dy dx? +y = 5x dy…

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Q: Tor each of the following series determine if the series conv or series convergence or divergence.…

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Q: Find the derivative of the function described. (Rx5) 4х-2 5. у 3 3x+4

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Q: A RI) doliars is the total revenue from the sale of x television sets. Rx} = 600 x- Find the 20…

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Q: p(x, Y, z) 4 – x2 – y²

A: Given problem:-

Q: Verify that the two planes are pārallel. -x + 6y + 2z = 7 x + 3y + z = 8 2. Find the normal vector,…

A: -x+6y+2z=7 ------(1) normal vector n1 for plane -x+6y+2z=7 n1=<-1,6,2>   or -1 i+6 j +2 k…

Q: 3. y = Vx*

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Q: Determine the number at which h(x) = V16 – x² is continuous. %3D | Vx²-1 Determine the largest…

A: Note that: A function is said to be a continuous function on some interval when the function is…

Q: Find the following. (0, 1), v = (5, -3) U = (a) ||배 (b) ||v|| (c) |u + v||

A: Explanation of the answer is as follows

Q: Use the comparison test to verify that the following series converges: 1 Σ n=1 5+n4

A: We have to check the convergence

Q: Determine the value(s) of x where the slope of the tangent to g(x) = (x+ 5)(x² – 1) is -7. %3D

A:

Q: Solve the initial value problem +3y , 0>0, y(1) = -5. de

A: To solve: θdydθ+3y = sinθθ2, θ>0, yπ=-5 ⇒dydθ+3yθ = sinθθ3 This is a linear differential equation…

Q: Determine whether or not the function is homogeneous. If it is homogeneous, state the degree…

A:

Q: 1. Trace the curve whose equation is x* – x' y = -7x² + x+6 х* + 3х-10 Identify the following a.…

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Q: (c) f(x, y) = V3x + y?, x = 2, y = 0, dx = 0.01, dy = 0.01. %3D %3D 1 f. 2/3x + y? 3 (i) 3x+y? (ii)…

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Q: of the curve defined by x=3t-t anc

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Q: y= V x

A: Here is the solution

Q: Explain why the integral is improper. 25 05 O At least one of the limits of integration is not…

A: Here, the given integral is: ∫091xdx

Q: Suppose that the monthly cost, in dollars, of producing x chairs is C(x) = 0.002x + 0.07x + 19x +…

A: We have to solve only D, as asking in the question.

Q: Consider the following. u = (2, -1, 0) v = (-2, 3, 0) Find u x v. Determine if u x v is orthogonal…

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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…

A:

Q: 4. For each of the following, state whether the equation is ordinary or partial, linear or…

A: here derivative of first order so order 1 here power of x is 2 so non-linear and ordinary equation…

Q: Solve the initial value problem. 2x(y + 1)dx – ydy = 0, where x = 0 and y = -2. %3D %3D

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Q: 1. sin²(esin*r) + cos-(2t³ – 5)

A:

Q: Solve the equation: Зx(ху — 2)dx + (х3 + 2у)dy %3D 0. O x³y – 3x² + y? = c O 3xy – 3x? + y² = c

A: Here is the solution

Q: Find a polynomial f (x) of degree 3 that has the following zeros. 4 (multiplicity 2), -8 Leave your…

A: A polynomial f(x) has zeros,    4multiplicity 2, -8

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: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, -1). v = (0, 6) %3D

A:

Q: Consider the series (z – 9)6, (z - 9)8 E4. = (2 - 0)2 + (- 9)“ E, = (z - 9) + +... 3- 2! 9.3! 27- 4!…

A: This question can be solved using the concept of general term of series.

Q: llowing series determine if the series converges or diverges cence or divergence. (e) Alternating…

A: We have to check the given series is converges or diverges according to the given information

Q: List the first 5 terms of the sequence. 32 + 3n3 22 1 (а) ап — 3n3 n2 + 3n3 4 (b) (-2)n+1 + 3n 3n3…

A: a)an=13n3+223n3+323n3+......+n23n3b)4-2n+1+3nn=1∞