g(t) = (2t - 2)² (3t+4)*

Q: Suppose f(z)-(2-10)(z- 0)(z+8). a. Determine the roots of the function f. Preview b. What is the…

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Q: Find the plane through the points (7,7,5), (1,3,6) and (5,-2,-1)

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Q: Graph the function. f(x)=√x+2 Plot four points on the graph of the function: the leftmost point and…

A: The given function is: fx=x+2 To draw the graph of the given function.

Q: If in

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Q: Find the linearization at x = a. f(x) = -1/3, a = 7 (Express numbers in exact form. Use symbolic…

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Q: Fill in each box below with an integer or a reduced fraction 1 can be written in the form AB = C…

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Q: se the chain and product rules to prove the quotient rule. In other words, show that dy ƒ'(x)g(x)…

A: We will find the required.

Q: Find the directional derivative of f(x,y)=x2y3 + 2x4y at the point (-1, 3) in the direction Θ=pi/4.

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Q: d(x) x-x-12 x-2

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Q: 1. f(x) = 4 sin x cos x 2. g(x) = 3 sinx - x cos x 3. h(y) = cos y cot y

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Q: Hello can you type it and shouldnt it be -265 if we put it where the zero is

A: We need to find the equation of the plane passing through the points 7,7,5, 1,3,6 and 5,-2,-1.

Q: Let s(t) = 8t³ – 24t² – 192t be the equation of motion for a particle. Find a function for the…

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Q: est the series below for convergence using the Root Test. X 5n 7n +4 (n) he limit of the root test…

A: Given query is to apply root test.

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

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Q: a. f(x) = x4 -8x²

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Q: Given f(x, y) = x² – xy5 – 3y¹, find fxx (x, y) = fxy(x, y) =

A: The given function is: fx,y=x2-xy5-3y4 To find fxxx,y and fxyx,y

Q: Use logarithmic differentiation to find the derivative of y with respect to the given independent…

A: Please see the below picture for detailed solution.

Q: (a) Construct the matrix A = [A₁] if A is 2×3 and A₁j = − i + 2j. (b) Construct the 2×4 matrix C =…

A: a To construct the matrix A=Aij if A is 2×3 and Aij=-i+2j.b To construct the 2×4 matrix C=2i+j2.

Q: - 1²) and ngle of =i+j. +j+ k. - use 48. If u and v are the vector functions in Exercise 47, use…

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Q: The force F on an object is the product of the mass m and the acceleration a. In this problem,…

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Q: 9. How should f(0,0) be defined so that f(x,y) - (x + y)² (X+s x² + y² is continuous at (0, 0)?

A: The given function is: fx,y=x+y2x2+y2 is continuous at 0,0 To define f0,0

Q: Please answer #9

A: The region would be between the curvesy=x and y=x. Intersection: x =x,x=0,1 The region can be…

Q: Differentiate the function. 8 y' = y = 2ex + X

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Q: Find the equation of the least squares line. The paired data below consist of the costs of…

A: Given:  The paired data below consist of the costs of advertising (in thousands of dollars)  and the…

Q: Solve for the integral Using substitution or Jsinty cos³ydy bg parts

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Q: Y=8-8x^2 , Y=0 Rotate about the x-axis Please find volume

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Q: 2a + bx Ex B f(x)=√√2a @f(x) = 3ax-5 x+b f(x) = 32²³ +26 ×-5c x-5c, a÷0

A: f'(x) = limh->0 f(x+h) - f(x)h This is the definition of derivative using limit.

Q: Calculate the Taylor polynomials T2 and T3 centered at a = 0 for the function f(x) = = cosh (6x).…

A: To calculate the Taylor polynomials T2 and T3 centered at a=0 for the function fx=cosh6x.

Q: Given a rectangular box. Lengths are in cm 2x X X

A: The figure of the rectangular box is  To determine: The rate of change of volume of the box with…

Q: Find the limit

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Q: Solve the given equation by variation of parameters. y" + 2y'+y=9ex

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Q: Find the derivative of y with respect to x. y=In (tan-1 (7x4)) dx =

A: We need to find out the derivative of the given function.

Q: Minimize f(x,y)=x² + xy + y² subject to y=40 without using the method of Lagrange multipliers;…

A: The answer is in step 2.

Q: A. Find the solution of the following differential equations. Show your solutions 7. Using Reduction…

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Q: Find the integral: f(t+1) et dt

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Q: Hello i cant read your answer can you write it down

A: A sphere is a three dimensional shape in the coordinate space. The equation of a sphere which is…

Q: Write an equation for a sphere centered at the point (-8,1,-1) with radius 2

A: given  centre is (-8,1,-1) radius=2standard form of equation of sphere is (x-h)2+(y-k)2+(z-l)2=r2…

Q: The line tangent to the curve x²y² = 16 at (-1,-4) is y=.

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Q: Use implicit differentiation to find dy dx (6xy + 5)2 = 36y = dy dx

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Q: 2. Ssec 20 tan³20 do

A: (2)   let   U=∫sec9(2θ)tan3(2θ)dθwe know that  1+tan2θ=sec2θd dx(secx)=secxtanx

Q: The figure below shows some level curves for z = f(x, y) (in blue) as well as the line 2x + 3y = 12…

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Q: Compute the surface area of revolution about the x-axis over the interval [0, л] for y = 8 sin(x).…

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Q: (a) Find the direction for which the directional derivative of the function f(x, y, z) = √ at P =…

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Q: s dx √x-1 +√x+1

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Q: A particle starts at the origin with initial velocity i+j-k. It has an acceleration ti+j+tk. Find…

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Q: rectangular fence is to be constructed with one of its face adjacent to an existing wall. Given that…

A: Given query is to find the dimensions for maximum area.

Q: The energy E (in J) dissipated by a certain resistor after t seconds is given by E = In (t+2) -…

A: Given query is to find the time when the energy dissipated is maximum.

Q: Describe in words the region of R³ repr 1 ≤ x

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Q: ,a= 2/12. Calculate the Taylor polynomials T2(x) and T3 (x) centered at x = a for f(x) = 14 sin(x),…

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Q: Discuss the continuity and sketch the graph. 1. f(x) = 3x² + 2x + 1, x = -2 2. f(x) = x² - 4x+4 x-2…

A: We have to discuss the continuity and sketch the graph  (1) f(x) = 3x2 + 2x + 1, x = -2