Let r(t) = (a) Find 7 (t). (b) Find Ñ (t). (c) Find K (t)

Q: 15 y = f(x) is the parabola shown. a Find f(3) and f'(3). b Hence find f(x) in the form f(x) = ax² +…

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Q: Maximizing the Area Enclosed by a FenceA farmer has 2000 yards of fence to enclose a rectangular…

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Q: Determine the values of constants a, b, c, and d so that f(x) = ax³ + bx² + cx+d has a local maximum…

A: Topic = Function

Q: 2. Find lim x-π/4 3. Find lim 4. 5. 8x sin(h - 3) h-3 h2+2h - 15 Find lim tan(x)-2лtan(x) 4x-μ…

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Q: 8 Does the series Σ (-1)* - k=1 k k³ +2 converge absolutely, converge conditionally, or diverge?

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Q: 3 2 -5 -4 -3 -2 -1 -1 2 -3 1 2 3 4 5 q The function graphed above is: Increasing on the interval(s)…

A: A function f(x) is said to be increasing in an interval in which on increasing the value of x, the…

Q: Use the power series 14x = (-1)^² + n = 0 to determine a power series, centered at 0, for the…

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Q: Please, I need the answers of other tutors to check, thank you very much! Find the vertical and…

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Q: Find the partial total derivatives W₂ and W₂ if W = ax² + bxy + cu where x = au + ßv and y = yu

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Q: A company's marginal cost function is MC(x) (given below), where x is the number of units. Find the…

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Q: On one set of coordinate axes, graph the family ofparabolas f1x2 = x2 + bx + 1 for b = - 4, b = 0,…

A: We have to graph the family of parabola.

Q: 5) Find all the complex cube roots of -8-8i.

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Q: 8. Find f such that ƒ" (0) = sin 0 + cos 0, ƒ(0) = 3, ƒ'(0) = 4.

A: ∫sinxdx=-cosx+c∫cosxdx=sinx+cf''(θ)=sinθ+cosθf'(θ)=∫(sinθ+cosθ)dθ

Q: -10 -6 -2 10- 8 6 2 -2- -4 6- -8- 10- 2 8 + x 10 Given the graph of f(x) in the figure, what are the…

A: Local extremas are the points where the graph maximum or minimum of a graph is present.

Q: The concentration of a medication in the plasma changes at a rate of h(t) mg/ml per hour, t hours…

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Q: For f(x) = 2√x and g(x) = xª + 6, find the following. (a) (fog)(x) (b) (gof)(x) (c) f(f(x)) (d)…

A: The given functions, fx=2x and gx=x4+6. We have to find the required composite functions.

Q: Which of the following statements is/ are true? (1) Every non-orthogonal set is linearly dependent.…

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Q: Use a definite integral to find the area under the curve between the given x-values. 1 from x = 1 to…

A: By using a definite integral to find the area under the curve between the given x‐values.fx=1x from…

Q: Evaluate the definite integral. 4 (x − 3)(x − 1) dx   0

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Q: 4. Evaluate [2²dr - zdy + 2ydz, where C₂ is the line segment from C₂ P(0, 1, 1) to Q(1,2,3).

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Q: 2 An antiderivative ofis Inle - 11. Which of the following statements about the integral 1²₁² A B…

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Q: 3 Find the value of ³ ƒ(x) dx, given than ƒ(x) is even, ſ_¹₁ ƒ(x) dx = 9, and ſ³3 ƒ(x) dx = 6. 3 f²³…

A: Given :fx is even ∫-11fxdx=9∫-33fxdx=6

Q: Find the critical numbers of the function f(x) using a graph. X = X = X = 12x5 + 15x4 + 40x³ - 9 and…

A: Given that , fx=-12x5+15x4+40x3-9 find the critical points.

Q: Find the total derivative given: dy a) z = f(x, y) = 2x + xy - y² where x = g(y) = 3y²

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Q: Determine the type of DE: x²y¹ = 4x²+7xy + 2y² O Homogeneous O Bernoulli's equation Both Homogeneous…

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Q: The area of the surface obtained by rotating the portion of the curve y = e27 where -29 < x < -23…

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Q: Problem and Computation Problem No. 1: In 2015, there were 233,040 Individuals living in Olongapo…

A: Let present number of people=x⇒dxdt=Rate of Expansion in number of people

Q: Use the Divergence Test to determine whether the following series diverges or state that the test is…

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Q: lim x →0 e - 1 sin (7x)

A: According to question,Given limit,limx→0ex-1sin 7x

Q: Finn borrows $3200 from his parents and decides to pay them back $c in the first month and then $m…

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Q: The limit of the sequence {In(7n) - In(9n+8)}_₁ is

A: To find the limit of the given sequence

Q: If f(x) = x - 8x² and h = 0, find the following and sim (a) f(x + h) = (b) f(x +h)-f(x) h Bund

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Q: Let F = 14xe¹ i +7x²e j and G = 14(x - y)i +7(x + y) 3. Let C be the path consisting of lines from…

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Q: Find the slope of the tangent line to the curve 4x² − 3xy + 2y³ = 52 at the point (2, 3). > Next…

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Q: The graph to the right gives the position, s(t), of a biker (in feet) from her starting position…

A: The above graph gives the position, st, of a biker in feet from her starting position after t…

Q: The function f(x) critical numbers. = 2x³ 39x² + 240x-5 has two 3 The smaller one is x = and the…

A: Critical numbers of a function f(x) is the values of x for which f'(x)=0.

Q: 3 1/3 divided 6

A: Given query is to find value of the Indicated expression

Q: Consider a cost function of the form C(x) = { 20,000+ 980x - x² 0 for 0 ≤ x ≤ 1,000 for x ≥ 1,000.…

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Q: 2. A company has a contract to cover the four walls, ceiling, and floor of a factory building with…

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Q: Let f(x) = 9 + x + x² and h = 0. (a) Does f(9 - 1) = f(9) + f(1)? Yes O No (b) Find f(x + h). (c)…

A: The given function is; f(x)=9+x+x2

Q: Can you show the working for 2A + 2b = 6  and  3A - B = 1, in equation one I, want to follow all…

A: Let's solve.

Q: 8) Let y²-4x²-16x-2y-19-0. Find the center, vertices, foci, and asymptotes. Then graph.

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Q: Mary invested in an account that grows 2.25% interest every month. If she invested Php 15,000 this…

A: Given grows 2.25% interest every month. r = 2.25% = 0.025 P = Php 15000 y = Php 20000

Q: Use a definite integral to find the area under the curve between the given x-values. 1 f(x) = from x…

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Q: Find the limit of the following sequence or determine that the sequence diverges. {(¹+3)"} ...…

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Q: Let s(t) = t3 - 30t2 + 18t + 47 be the position function of a car moving along a horizontal line,…

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Q: Show steps and find the exact value of 3x+4 dx . Do not use Table Entries. x² +4 T

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Q: L'Hopital's rule applies to which of the following limits? Indicate all that apply. Select all that…

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Q: 6. Find the directional derivative of the function ƒ (x, y) = x² + x sin (y) at the point (1,7) in…

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Q: Evaluate the line integral, where C is the given curve. √(x²y³ - √x)dy, C is the arc of the curve y…

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