n E (4 + 2k)? = k=1 Hint: Start by multiplying out (4+ 2k)².

Q: r(t) = cos(nt)i – In(t)j+ vt – 16k; to = 17 | -

A: Given :

Q: 3. Find of the following equations: dx a. y = –3x² + 7x² + In 8x)* b. xy = 2x?y – 8x 7 c. x = sec…

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Q: Suppose that she applied a force of 20N to push the object for 50m as shown below. If e = 45°, then…

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Q: Find the derivative of the function. f(x) = ex2 + 2 %3D f'(x)

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Q: dy 1. Find general solution for =x²y° +2y +x° +2. dx

A: Dear learner,  As per our guidelines we can provide the solution for first one only. Kindly post…

Q: Question 5 Find the volume of the solid that results when the region enclosed by the given curves is…

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Q: 1. Jx cos 3x dx Sx² cos x dx 2.

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Q: Find fr(r, y) and fy(x, y) given f(r, y) = tan r - cos(r² – y²).

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Q: determine maximum/mininum local values and its saddle points for this function  f(x,y) = 3x^4 +…

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Q: Find the equation of the final function after all the following transformations have been made on y…

A: The below image has all the steps

Q: Given the equation r In(y) = z Arctan(3*y). Assuming z as a function of variable dz and y, find

A: The given equation is xln(y)=ztan-13zy ........................................ (1)  Here z =…

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(s) : (t…

A: I am attaching image so that you understand each and every step.

Q: Determine the value of 7A+5B if 19x2 + 43x + 14 Cr + B (x+1)2 A (x – 1)(x +1)? Answer:

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Q: nd the maximum profit and the number of units that must be produced and sold in order to yield the…

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Q: Solve of the following equation 4 y' +y = x'y? Given by x3 In x – c -x3 In x + c O Option 1 O Option…

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Q: 1. Sketch the graph of r = 6/ (3 + 3 cose).

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: a) 2 B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card…

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Q: 1. Use mathematical induction to prove the given statements below. 2 3+2 32+....+ 2· 3n-1 = 3" – 3…

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Q: Q1// Find the Area bounded by: x = -y? and x = y- 2

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Q: Select the conic section represented by the equation. 3x 2 + 2x - 5y + 7 = 0 line hyperbola circle…

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Q: Let, \(f(x)=4x^2-12x+10\). Find: (a) the X- coordinate of all critical points, b) the open intervals…

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Q: 8. Determine if 2n-1 [5 -1 is cont 7n n=1

A: Given

Q: Find the derivative of the function. f(x) = In x+ 2 f'(x) =

A: We have to find the derivative of the given function.

Q: The reverse order of J Só 3xe dydx is equal to 2(e - 1) е - 2 -e

A: After changing the order of integration, solve it.

Q: Find the vector

A: The vector r=<a,b> is written as, r(i)=ai+ bj

Q: Find all partial derivatives of w = x sin(yz) – z In(xy)

A: To find all the partial derivative.

Q: n 9 = k=1 Note: Your answer should be in terms of n.

A: Solve the given

Q: Evaluate the integra 4 X - 5 /1

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Q: 3. Find the equation of the final function after all the following transformations have been made on…

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Q: Let, \(f(x)=4x^2-12x+10\). Find: (a) the x- coordinate of all critical points, b) the open intervals…

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Q: Find the nth derivative of y = In(16x2 – 9).

A: Given y=ln(16x2-9)

Q: 37. v = (60, 11}

A: Unit vector n→ in the direction of a vector v→ is given by, n→=v→v→, where v→ is the length of the…

Q: Click an item in the list or group of pictures at the bottom of the problem and, holding the button…

A: Given problem:-

Q: Vx-5 1) Evaluate lim 10. x+25 X-25 Show every step.

A: We can find the limit as below

Q: Let C be the parametric curve defined by x(t) = t2 – 2, y(t) = t³ – 3t + 1. Determine if C is…

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Q: 1. Find the area bounded by a curve v? = 9 – x and the y – axis.

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of…

Q: 3. An airplane with an airspeed of 80 meters per second is due east, gaining altitude, and has a…

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Q: Find the center of 8x 2 + 6y 2 - 32x + 24y + 8 = 0. (2, 2) (-2, 2) (2, -2)

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Q: 2. [ID # ending in 4 or 7] 2 av Determine (+) ax if v csch y = e*x² . дх ду ду

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Q: 4–x? c1-a²-y² x dz dy dx = -7+x?+y?

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Q: Differentiate the following, and simplify: a) y = x'e* b) f(x) = 2" + 7** evi c) g(1) = 1+ev

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

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Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card of…

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Q: 6. The initial population of a town was 12000. After 5 years the population increased to 38000…

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Q: Given the three vectors å ,b and ở in 3D. The following question is t termine if operation involving…

A: We can solve this as follows:

Q: 1) Evaluate lim 10. Vx-5 x-25 x25 Show every step.

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Q: The volume V of a right circular cylinder is given by the formula V= Tr h, where r is the radius and…

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Q: d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly…

A: ddtr1(t).r2(t)=r2(t)dr1(t)dt+r1(t)dr2(t)dt ddtr1(t)×r2(t)=r1(t)×dr2(t)dt+dr1(t)dt×r2(t)

Q: Let u =, v = where A and B are some constants. Given that ú + 90 = find the value of the product…

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Q: Sketch the graph the integrands and use areas to evaluate the integrals. 1. Llx| dx

A: As per our guidelines, we can help you in solving only first problem, rest of the problems you have…