Find the function g(x) satisfying the two conditions: 1. g'(x) =-512x³ 2. The maximum value of g(x) is 5. 9(x) = ☐

Q: Which of the following series are convergent? I. 1+1/2² + 1/3² + ... 1/n² + ... II. 1 + 1/2 + 1/3 +…

A: The given series are; 1) 1 + 1/22 +1/32 +...+ 1/n2+...2) 1 + 1/2 + 1/3 +...+ 1/n+...3) 1 - 1/3 +…

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Q: Find the general solution of the homogenous differential equation 9y" - 30y' + 25y = 0.

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Q: I If y = 2 cos x + sin 2x, find y" at x = - x=27/17-

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Q: per 59. Mixing Nuts A store sells cashews for peanuts for $1.50 per pound. The manager decides to…

A: Cashews cost =$5 per pondpeanut cost=$ 1.50 per poundmixture cost=$ 3 per pound

Q: d) Plot the x and Vintercepts on the Cartesian Plane. Label the axes and title the graph. Clearly…

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Q: (a) The graph in the figure given below is made of line segments joined end to end. At which points…

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Q: Find the cost function for the marginal cost function. C'(x) = 0.07e0.05x; fixed cost is $7 C(x) =

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Q: Find the radius of convergence and the interval of convergence of the series: Σ=1(−1)n+1 +1 (x-2)…

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Q: Below is the graphs of fox & gcx), & their tangent lines at x=2. fy=1.8(x-2) 9 9= ²/3 (x-2) a) lim…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: (t²-2t)³ 5t 4. The voltage applied to a 0.25-F capacitor is given by v=- 3.7 s. . Find the current…

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Q: Using rectangles whose height is given by the value of the function at the midpoint of the…

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Q: Find the area of the surface obtained by rotating the given curve about the x-axis. ㅠ x = 5 cos³(0),…

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Q: 19. What is the maximum volume of cylindrical tin can that can be made from 750.0 cm² of metal?

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Q: 39-44. Mean Value Theorem for Integrals Find or approximate all points at which the given function…

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Q: 2 T If f sin (3 x) sin (n x) dx = π, then n = 0 Number

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Q: 3. Sketch these functions and find their domain and range. a) f(x) = √√3x b) y = x³

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Q: Evaluate the integral: 0 x = (A) Which trig substitution is correct for this integral? Ox= 16 sin(0)…

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Q: please i dont understand that you did after step 3 from 0=sin(2pi c)

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Q: 6. Σ. 1 n=1 1 ηγη2 +1 n

A: since you have posted multiple question in this question which are not interlinked so i have solved…

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Q: List the first five terms of the sequence. a1 = 5, 2n + 1 2an +4 а1 а2 аз ад a5

A: To list the first five terms of the following sequence.

Q: Evaluate the integral: 16 √ 2² √² + 64 0x = (A) Which trig substitution is correct for this…

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Q: 1. For the function g(x) graphed here, find the following limits or explain why they do not exist.…

A: Since the subparts a,b and c of question 1 have been answered i suppose you want the answer for part…

Q: (−1)n n²zn n! Consider the series (-1)” n=1

A: ∑n=1∞(−1)nn23nn!Ratio TestL=limn→∞|an+1an|Where an is the nth term of the series.If L<1, the…

Q: Solve the following triangles: (a) a = 10, b = 8, c = 7 (b) A = 90°, B = 20°, a = 7; (c) A = 58°, a…

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Q: If ſ²₁ f (x) dx = 3 and ²₁ g(x)dx = 8, find §²₁₂[4ƒ(x) — 2g(x)]dx -1 -1

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Q: Determine the radius of convergence, R. R = 1

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Q: 56. The length of required to enclose a rectangular field is 3000 meters. What are the dimensions of…

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Q: 2x³+x²+x+1 x→∞0 4x³-x²-8 √x²+x+1 lim x→∞ √4x²+3 k. lim 1.

A: K) limx-infinity (2x3+x2+x+1)/(4x3-x2-8)I) limx-infinity +x+1)/sqrt(4x2+3)

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Q: sin (2x) = 4 cos(x)

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Q: ← The following graph shows the rate of inhalation of oxygen (in liters per minutes) by a person…

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Q: A square-based pyramid has a height that is increasing at a rate of 7 inches per minute while the…

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Q: An angler hooks a trout and reels in his line at 5 in./s. Assume the tip of the fishing rod is 11 ft…

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