1. f(x) = Vx , g(x) = 9 - x² %3D 2. flx) = Vx , g(x) = х-2 3. f(x) =, g(x) = Vã

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

A: We have to check whether the given plans are parallel or not or we have to find distance between the…

Q: d d Calculate ri(t)·r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly…

A: In the given problem first we differentiate the product directly & then we use the formula for…

Q: Eliminate c from the equatia cxy + c²x + 4 = 0. O x* (y')? + x?yy + 4 = 0

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Q: Find a and b such that v-au bw, nhere u-(1, 2) and w- (1. -1) v - (4, 5)

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Q: region bounded by f(x) = 3- X, y = 0, and x = 1 is shown. /hat is the volume of the solid formed by…

A: Follow next step

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

A: A vector v with given magnitude in the direction of u is given by v.uu.

Q: Consider the function f(x) = 4T + 3 on the interval (2, 5]. Find the average or mean slope of the…

A: use slope formula for finding the slope of f(x).and value of c

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

A: Find your answer below

Q: Find the curvature K of the curve. r(t) = 9 cos(nt)i + sin(at)j K =

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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: Consider the following differential equation. (x2 + y2)y′ = y2 Let  f(x, y) =  y2/x2 + y2 .  Find…

A: This is a problem of differentiation of the function. Based on the general formula we will answer…

Q: 1. A light hangs 15ft above a horizontal path and a man 6ft tall is walking away at 5 ft/sec. i) How…

A: According to bartleby guidelines when student post more than one question then expert must have to…

Q: 2 - y 3. Consider the lines defined by the equations &3 : x – 1= 3 – z and l4(s) = (1 – 2s, 4s, 1 +…

A: Given problem:-

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

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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: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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

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Q: The value of the integral I= 3 dx is required in the development of the normal probability density…

A: I=∫-∞∞e-x23dxI2=∫-∞∞e-x23dx∫-∞∞e-y23dyI2=∫-∞∞∫-∞∞e-x23e-y23dAI2=∫-∞∞∫-∞∞e-x2+y23dA

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: Consider the following. u = (6, -1, 0) v = (-6, 5, 0) Find u x v. Determine if u x v is orthogonal…

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Q: If P(A or B)=4/5, P(A)=2/3 and P(B)=3/5, then what is the value of P(A and B)? *

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: To solve the following problem

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

A: Given,  Initial point: (3,2,0)  Terminal point: (4,1,8)

Q: Determine the slope of the tangent line, then find the equation of the tangent line at t = - 1. x =…

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

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Q: Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) =…

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Q: 2. Two ponds are connected and fed by a single stream flowing through them. Pond A holds 500, 000…

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Q: 10. xy' + 2y = 6x²/y

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Q: (x + y)ds, C : ¤ = 2t, y = – 2t + 3, for – 3 <t<0. Preview

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Q: a. Use the substitution u = e and partial fraction decomposition to derive the following integration…

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Q: Evaluate. (Be sure to check by differentiating!) 1 dx, x - 2 4 + 2x

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Q: ind an equation of the plane with the given characteristics. The plane passes through the points (4,…

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Q: Solve the problem. Given that f(x) = 4x + 4, find lim [f(x) - f(7)/(x - 7)] x-7

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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∞

Q: f (x) = x²In x + sec x; find f"(x)

A: Given ,f(x)=x2ln(x)+sec(x)DIferentiate…

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

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Q: What is the area under the graph of y = 2- x on the interval -2, 1]? X 543-2 44 1 2 4 5 O 6 13 15…

A: Find area under the graph

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

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Q: Rewrite the Cartesian equation x = 7y as a polar equation. r(0) = Use the math palette or type theta…

A: Solve the following

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

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Q: 1. a. Use the substitution u = e' and partial fraction decomposition to derive the following…

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Q: 1. For each of the following, state whether the equation is ordinary or partial, linear or…

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Q: Find the average value of f(x, y) over the region R. F(x, y) = x R: rectangle with vertices (0, 0),…

A: Given problem:- Find the average value of f(x, y) over the region R. f(x, y) = x R: rectangle with…

Q: Solve the equation: (x² – xy + y² )dx – xydy = 0. %3D O (v - x) el:) = (v - x) e(G) = c O (v - x) =…

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Q: Evaluate the definite integral. e4t i+ e-j+t k)dt O et – 1 – (e-1 – 1). 4 2 O e4 i – 1 j + k 4 (e* –…

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Q: The other type of question in chapter 7 is solving trigonometric equation. We will not be practicing…

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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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