Find the equation for a polynomial f(x) that satisfies the following: Degree 3 ■ Zero at x = 2 ■ Zero at x = 1 ■ Zero at x 2 y-intercept of (0, 12) f(x) = - ← help (formulas)

Q: Given the function below ✓50x³ + 75 Find the equation of the tangent line to the graph of the…

A: Given, f(x)=50x3+753

Q: Let f(x) = e+ln x x2 . a. Find the average rate of change of f(x) from x = 1 to x = e. b. Write an…

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Q: og of 9-14 Find the intervals on which f is increasing or decreasing, and find the local maximum and…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 16. f(x) = x² - 2x³; [-2,2]

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Q: 16. The length of a rectangle is increasing at a rate of 6 cm/min and the width is decreasing at a…

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Q: 1+r 24. lim xxx² + 1 8118

A: Solution is given below:

Q: Compute the area of the region enclosed by the y-axis and the curve in the xy-plane given by the…

A: Given parametric equations x(t) = t2 − 6t  and  y(t)=10t3 + 9t

Q: Problem 2: Given the differential equation (yetanx sec² x - 1) dx + etanx dy = 0: a. Identify…

A: The objective is to solve the above question.

Q: a) 2₂x5e-x² dx b) 510 cos(5t) dt

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Q: Find the absolute minimum of f(x, y) = x² − 7x + y² on the triangular region R that has vertices (0,…

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Q: Rewrite csc 70 in terms of its cofunction cac 70°- (Type an exact answer Simplify your answer. Type…

A: topic- cofunction We are given , csc(79)°andcos2π7We know thatcsc(90-a)=sec(a)cos(90-a)=sin(a)

Q: Construct a difference table to predict the next term of the sequence 10, 6, 8, 16, 30,.... A) -2 B)…

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Q: e arc length function s(t) = f₁ ||r' (u = (6t²,91²,1³) = 0

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Q: Find the derivative of: 9 sin² (4x²). 2 Hint: sin²(x) = [sin(x)]².... ...so use the chain rule…

A: Let's find derivative of given function.

Q: d) f(x) = x sin x + cos x [0, 2π]

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Q: Find the average value of the function over the given interval. (Round your answer to three decimal…

A: We need to find out the average value of the function.

Q: For a car traveling 60 km per hour (kph), the distance required to brake to a stop is normally…

A: Given, x~N(20, 32)

Q: Consider the family of curves given by 4x² + 3y² = c². (a) Use implicit differentiation to express…

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: Find the absolute minimum of f(x, y) = 5xy - 4x - 4y on the triangular region R that has vertices…

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Q: Due Oct 16 by 11:59pm Find d if y = √5. O √5-1

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Q: From the DE ex (e¯x + e³) dx + e³(ex + 1) dy = 0: a. Solve if the DE is variable-separable, exact,…

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Q: 21. k(x) = x¹ - 2x³

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Q: help plsssszzz

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Q: 4 19. f(x) = x + x + [-8,-1]

A: The given function is  f(x)=x+4x,  -8, -1

Q: 2. For the following system of equations, verify whether they are incon- sistent, have infinitely…

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Q: The resistance R of a copper wire at temperature T = 30°C is R = 152. Estimate the resistance at T =…

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

Q: The stopping distance for an automobile (after applying the brakes) is approximately F(s) = 1.1s +…

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Q: For a certain automobile, M(x)=-015x² +1.43x-7.6, 30s x s60, represents the miles per gallon…

A: Given, M(x)=-.015x2+1.43x-7.6

Q: At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 18 knots and ship…

A: Given 1. Ship A is 50 nautical miles due west of ship B. 2. Ship A is sailing west at 18 knots. 3.…

Q: Use Linear Approximation to estimate Aƒ = ƒ (7.05) — ƒ(7) for f(x) (Use decimal notation. Give your…

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Q: Evaluate the following integrals using substitution(s): Might want to use your own paper 1. S - x²…

A: According to guidelines we can solve only first question .solution:-(1)∫x31-x2 dxlet 1-x2=t,…

Q: Given the differential equation (2xy — elnx-x²) dx + dy = 0: 1. Identify whether the differential…

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Q: Find the PS of dy dx ex sin y + e cos x ex cos y + ey sin x y(0) = π/2

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Q: Evaluate the definite integral. 6 L₁³25 1 25+ (x+4)² dx

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Q: The Pear company sells pPhones. The cost to manufacture a pPhones is C'(x) - 2422 +54000x + 21038…

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Q: x" - 16x = 4 sin(2t) with IC x(0) = 1 and x'(0) = 6. Find x(0.25) to at least 3 decimal places of…

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Q: Let y = 5x² + 5x + 2. If Ax estimate Ay Δy ~ = 0.2 at x = 5, use linear approximation to

A: Given that,

Q: At x = -2 the function y = +2 true 5 is differentiable but not continuous falco

A: This question can be solved using the concept of continuity and differentiability

Q: Set up a system of equations and then solve using inverse matrics. A manufacturer of portable tools…

A: we need to find the number of sets.

Q: Enter your answers to the nearest integer. f(3,3) f, (3, 3) f, (3, 3) || 11 4 i 14 -2

A: Given the contour diagram of function f(x,y)

Q: Compute the directional derivative of the following function at the given point P in the direction…

A: To compute the directional derivative of the following function at the given point P in the…

Q: 4. Convert the following integrals to polar coordinates. Then evaluate them. 1-x² A. 0 LIVE -1…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Problem 2: Given the differential equation (2xy - elnx-x²) dx + dy = 0: a. Identify whether the…

A: Given the differential equation 2xy-eln x-x2 dx+dy=0:a To identify whether the differential equation…

Q: Find the linear speed of a point moving with uniform circular motion, if the point covers a…

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Q: The marginal cost of the xth box of light bulbs is In(x + 1) (x + 1)² and the fixed cost is 15…

A: Given Marginal cost function is Mx=10+lnx+1x+12 and fixed cost is 15 dollars.

Q: At 10:17 A.M., you pass a police car at 55mph that is stopped on the freeway. You pass a second…

A: At 10:17 A.M. you pass a police car at 55 mph that is stopped on the freeway. You pass a second…

Q: - Consider the function f(x) = 2x² - 16x 5 on the interval [2, 6]. Find the value(s) for c that…

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Q: Use the functions f and g in C[-1, 1] to find (f, g), f, g, and d(f, g) for the inner product (f, g)…

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Q: Find the fluid force on the vertical side of the tank, where the dimensions are given in feet.…

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