Factor each of the operator: SHOW YOUR COMPLETE SOLUTIONS 4.) 2D³-7D² + 2D + 3 5.) D4-9D² 6.) D³ - 3D + 2

Q: 3. a. Find the intervals of increase and decrease for the following. y = 2x² - 8x + 1 b. y=x² + 160…

A: A function f (x) increases in the interval I if f'(x) > 0 for all x in I.A function f (x)…

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A: given

Q: Solve the following non-homogeneous differential equations: 1) x"(t) + x(t) = 2 cost

A:

Q: Consider the curve r(t): = og(t)i + e-tj+ + 5k for t > 2. Calculate limt →+∞ r(t) (if it exists). е

A: Find the limit

Q: For a standard normal distribution, find: P(-1.29 Z-1.07)

A: The given probability .The aim is to find the value of the probability using the standard normal…

Q: S Write an equation for a line parallel to y y = -4x + 4 and passing through the point (4,-2

A: To find the equation of a line parallel to y=−4x+4 and passing through the point (4, -21), you can…

Q: Suppose f(x, y) = x² + y² - 8x and D is the closed triangular region with vertices (8,0), (0,8), and…

A:

Q: Find the maximum and minimum values of f(x, y) = xy on the ellipse 5x² + y² = 4. maximum value:…

A: To find the maximum and minimum values of f(x,y)=xy on the ellipse 5x^2+y^2=4, you can use the…

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Q: describe what you would have to do to your graph of f(x) to sketch g(x)= (x+1)^2-4(x+1)+3

A: The given function is .The aim is to describe how to sketch the graph of the function using the…

Q: 2. Determine whether the series n Σ» (-1) (3) converges or diverges. If it converges, find the sum.

A: The given series is

Q: What is the difference between the disk (or washer) method and shell method? Please provide your…

A: The disk (or washer) method and the shell method are two different techniques in calculus for…

Q: Suppose that 3 J of work is needed to stretch a spring from its natural length of 34 cm to a length…

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Q: Profit The profit P (in dollars) made by a cinema from selling & Bags of popc x² 28,000 3,300, 0≤x≤…

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Q: Use the definition of e, and numerical approximations as h approaches 0 from the left, and h…

A: Use the definition of e, and numerical approximation as h approaches 0 from the left and h…

Q: Find all the second-order partial derivatives of the following function. W = 3x - 2y 2x² + 3y

A: The given function is

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Q: Sketch the region enclosed by y = 7x and y = 8x². Decide whether to integrate with respect to x or…

A: In this question, we will find the area of the region.

Q: 6. Let f(x, y) = sin(x + y). Answer the following questions. (a) ) Find the gradient f(x, y). (b)…

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Q: dz Find when u = 0, v = 3, if z = sin (xy) + x sin (y), x = 3u² + v², and ди y = 2uv.

A:

Q: please show all steps what are 2 critical points of the function: f (x)  =  esin(πx/20) −…

A: Consider the function f (x)  =  esin(πx/20) − cos(πx/20)

Q: Consider the curve x²y + y²x = 6 A) Find in terms of x and y dy dx B) Write the equation for the…

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Q: Let g(x) = 2x² - 216x. Find the relative maximum and minimum values of g. Also find the intervals on…

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Q: 2. Differentiate the following functions. a. b. Differentiate the following function. f(x) = 775…

A: (a) f(x)=7π6

Q: Describe the x-values at which f is differentiable. (Enter your answer using interval notation.) X…

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Q: 2. D8: I can compute derivatives using multiple rules in combination. D9: I can compute derivatives…

A: a) d(cosxy)/dxb) cos(xy)=sin(lny)

Q: Consider the graph of y = y 3 2 1 -1 -2 -3 f(t) dt, where f is a piecewise constant function. 2 3…

A: The graph of a piecewise function is given as,

Q: Factor each of the operator: SHOW YOUR COMPLETE SOLUTIONS 1.) 2D²5D-3 2.) 3D² + 7D + 2 3.) D³4D²+D+6

A: The factorization is done by splitting the middle term of the quadratic polynomial/operator.

Q: 1. Consider the following function, if x # 0 if x = 0 Prove that the function f is differentiable at…

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Q: Solve the equation for x in terms of the other letters. (Enter your answers as a comma-separated…

A: Given data

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A:

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Q: If h (x) = (x² – 2x 43 04/0 0 - 12/25 3 00 - (x² – 2x − 1) ³, then h' (0) =? - 43

A:

Q: The population P (in thousands) of Tallahassee, Florida, from 2000 through 2018 can be modeled by P…

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Q: Evaluate the following integral. A sketch is helpful. R 3 15x² dA; where R is bounded by y = 0, y =…

A: To find:- Where R is bounded by

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Q: Find the general and particular solution of the O.D.E. y' = (y + 4x)², subject to y(0) = 1, by first…

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Q: Graph the function hoo-x-30 0x30 30x50 0.5x-65 i x>50 Choose the correct graph below OA 1530456075…

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Q: A large tank is partially filled with 150 gallons of pure water. Brine containing 2 pounds of salt…

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Q: y = sin-¹(6x + 1)

A: y=sin−1⁡(6x+1)

Q: 0 -3 5 1 0 1 0 6-58 0 -1 -1 3 4 -2 0

A: The given determinant is

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Q: HOMOGENEOUS DIFFERENTIAL EQUATION Solve the following differential equations using HOMOGENEOUS DE.…

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Q: y = x5 cos x

A: y=x6cos⁡x