ƒ(x) = = ax² + 3x + b 9x² - 6x + 2a if x ≤ 0, if x > 0.

Q: 5. A rock is tossed from a height of 2 meters at an initial velocity of 30 m/s at an angle of 20°…

A:

Q: Find the maximum rate of change of the function f(x, y) = 4y³ X at the point (2,1)

A: To find the maximum rate of change of the function  at the point .

Q: 10. Complete the square of the denominator of the integrand of the following anti-derivatives: X-1…

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

Q: end. head the Short WII -up on 1 First, we use an example to demonstrate the idea of the integral…

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A:

Q: ax CLA Find points of intersection for the following curves. 13 1- r = 2 + 2 cos 0, 2- following. r…

A: The objective of this question is to find the points of intersection of the two polar curves r = 2 +…

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Q: Find any points of inflection and discuss the concavity of the graph of the function.

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Q: Consider the following. y = 2x5 + 5x4 - 15 (a) Find the critical values of the function. (Enter your…

A:

Q: Evaluate 3+ at (1,0)=(5,5) for the function w(x,y) = 2y-y²; w(x,y)=zy-y²; x=U-v₁ y= uv

A:

Q: 13. Sketch the following polynomials. (a) y = (x - 2)²(x + 4) (b) y=(x-1)(x + 1)² (c) y =(x-4)(x -…

A: First make a table to find the values of y for some sample values of xplot those points on the xy…

Q: The answer you gave, is not a option

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Q: Determine the interval of convergence of the following power series (−1)n-12n+1 Σn=0 (2n+1)! ²

A: The objective of this question is to find the interval of convergence for the given power series.…

Q: The magnitude and direction of two forces acting on an object are 50 ​pounds, S61degrees°​E,and…

A: The objective of this question is to find the magnitude and direction of the resultant force when…

Q: Find the indicated partial derivative. fyxy(x, y)= f(x, y) = sin(3x + 2y); fyxy

A:

Q: Calculate the limit lim 1²+3z-10 H-2

A:

Q: Find the absolute extrema of the function (if any exists) on each interval.

A:

Q: For the given position vectors r(t), compute the (tangent) velocity vector r'(t) for the given value…

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Q: Suppose that f(x) 2 4x Find f'(x).

A: use quotient rule for differentiation

Q: If the total cost function for producing x lamps is C(x) = 960 +37x + 0.6x² dollars, producing how…

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Q: Approximate cos COS a = h = 12 by using a linear approximation with f(x) = cos x. ≈ f(a) + f'(a).h =…

A: The given function is .

Q: d. Ek-2h(k) e.Ek=19(k)h(k)

A:

Q: Quick Print Press borrowed ​$20 comma 000 from the Provincial Bank on May 25 at​ 7.5% and secured…

A: The objective of the question is to calculate the payment that Quick Print must make on October 31,…

Q: Solve the initial value problem below using the method of Laplace trans.orms. 6ty' - ty' + y = 2,…

A: The given differential equation

Q: Find the Maclaurin polynomial of degree two for the function /(x) = sec (9x). Select one: O a. O b.…

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Q: Makya was conducting a physics experiment. He rolled a ball down a ramp and calculated the distance…

A:

Q: 2 X 2 X 0+ - 4 +4 dx =

A: C+C

Q: Suppose C'(x), R(x), and P(x) are the total cost, revenue, and profit of producing a items. Match…

A:

Q: Mr. Smith is 6 ft tall and walks at a constant rate of 2 ft/sec toward a street light that is 10 ft…

A: The objective of this question is to find the rate at which the length of Mr. Smith's shadow is…

Q: Given the following polynomial, p(x)=3x³ (3x + Perform the Leading Coefficient Test by answering the…

A: P(x)=3x^3(3x+1)^2(2-x)

Q: Find a positive value of k such that the average value of f(x) = √6x over the interval [0, k] is 20.…

A:

Q: Calculate r' (t) and T(t), where 18.8.8 r'(t) = ( T(t) = ( r(t) = (5t - 7,- (5+5t), 6 + 5t).

A:

Q: The table below shows values of a force function f(x), where x is measured in meters and f(x) in…

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Q: The length ℓ, width w, and height h of a box change with time. At a certain instant the dimensions…

A:

Q: n=1 (2) Use the Limit Comparison Test to determine whether the series cot [ot n=1 All solutions need…

A:

Q: Find the length of the curve. L = r (t) = 9ti + 12t j + 9t²k, 0 ≤ t ≤ 3

A:

Q: Suppose ƒ(x, t) = xª sin(5t). (a) At any point (x, t), the differential is df = (b) At the point…

A: The given function is .

Q: Find the angle u = gi + 10j +5k₁ v = si +3j +3k. angle between between u and I in radians.

A:

Q: Find a first-degree polynomial function P₁ whose value and slope agree with the value and slope of…

A: The given function .The objective is to find the first-degree polynomial whose value and slope…

Q: 2) Show that: cos (0) sin (0) (6) (5) - (² Xp = Yp sin cos (0) a))) ||rp|| cos (0 - a) -||rp|| sin…

A: This answer is given below.Explanation:

Q: te √e³x Evaluate 3x cos 4x dx.

A:

Q: Consider the function on the interval (0, 2pi). (A) find the open intervals on which the function is…

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Q: Use logarithmic differentiation to find the derivative of the function. (5x +1) 5 (x4 - 8)6 Y =

A: The given function equation

Q: Consider the following. v = sin(4s² - 3t²) Find the first partial derivatives. Vt = = Find all the…

A:

Q: Find the limit of an= cos^n(5/sqrt(n)) = [cos(5/sqrt(n))]^n

A: The limit of the given sequence is 1 as n approaches infinityExplanation:To find the limit of the…

Q: Let à = (-5, - 2, 4) and b = (-1,5, 3). Find a x b. (Enter your answer as a vector of the form .)…

A:

Q: 2) Show that: cos (0) sin (0) – sin B (6)) (*) = ( cos( 2 ||7p|| cos (0 - a) -|||| sin (0-a), -as))

A: PROOF IS MENTIONED CLEARLY IN THE EXPLANATION BOX.Explanation:

Q: Solve the absolute value fucntion f(x)=|x-2|+|x+1|-4

A: Therefore , the only valid solution for the function f(x)=∣x−2∣+∣x+1∣−4isx=25​  For x<−1, no…

Q: Find the derivative of the vector function r' (t) = ( -> r(t) = ln(5t²)i + √√19+tj-8e²t k ID 9 9

A:

Q: Solve cos(8) decimal places. 0 0.2 for solutions on the interval 0 ≤ 0 < 2. Write your answer(s) in…

A: