2(n!)2 (2n)! n=1

Q: ball is launched straight up in the air from a height of 6 feet. Its velocity (feet/second) t…

A: Given query is to find the average velocity.

Q: 37 11 Let z < 1 < and sin (1) = -. Use a double-angle formula to find sin (21). 12 (Give an exact…

A: We have to find the given trigonometric quantity.

Q: Give the order of the given ordinary differential equation and state the type linear or nonlinear (1…

A: Solve the following, note- your options for the degree must include 1. Because a degree of a…

Q: A box with a square base and open top must have a volume of 13,500 cm. Find the dimensions of the…

A: Given query is to find the sides of the box

Q: We have 3 3 27 dx dy = 4 y (x – 1)2 - Select one: True O False

A: Given query is to find statement is true or false.

Q: Solve the Bernoulli equation. -6 5xy' +y = y°, x>0

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Q: Find the area enclosed by the x-axis and the curve y=1tet v=t-t2. (Show all work separately and…

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Q: Find the gradient of the function at the given point. Function Point f(x, у, 2) 3 x2 + y2 + z2 (7,…

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Q: Finding a Limit Graphically In Exercises 5 and 6, use the graph to find the limit (if it exists). If…

A: f(t)=ln(t+2)t At some point t=a we say that limit exists if both  right and left side limits exist…

Q: A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No…

A: Let x and y be the dimension of the farm. x be the side along the barn. y is the side where cost is…

Q: Find the area of a triangle PQR, where P = (2, – 3, – 4), Q = ( – 6, – 2, – 6), and R = (5, 6, – 6)

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Q: Vectors v and w have magnitudes ||ö|| = 2 and ||w|| = 8 and the angle between these vecto What is…

A: Given query is to find the dot product of v and w.

Q: Find the consumers' surplus at a price level of p = $130 for the price-demand equation below. p=…

A: p=400-0.02xat p =130130=400-0.02x0.02x=270x=2700.02=13500x=13500TE=px =130(13500)TE=1755000

Q: Find the gradient of the function at the given point. f(x, y) = 5x + 2y2 + 4, (4, 2) Vf(4, 2) =

A: Topic = Functions

Q: Find the area between  F(x) = x^2-5 and the x-axis from x=0 and x=9

A: Given query is to find the area under the curve.

Q: Use mathematical induction to prove the given statement for all positive integers n. 20+10+0+..…

A: We have to prove given statement with mathematical induction.

Q: Solve the system by back substitution. - 2x - 4y -z -3w = - 5y - 30z - 10w = - 40 -4z -4w = -8 5w =…

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Q: Listen Use the Ratio Test to determine if the series converges or diverges. ne-Sn n=1 Converges…

A:

Q: Given that Vf (5, -4) = 8 i – 7j, find the directional derivative of the function f at the point (5,…

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Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the…

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Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

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Q: Use Lagrange multipliers to find a vector in 3-space whose length is 4/3 and whose components have…

A: use lagrange multipliers to find a vector in 3-space whose length is 43 and whose components have…

Q: Find the particular solution determined by the initial condition. ds 16t2 + 5t – 5; s(0) = 100 dt

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Q: Find the points on the ellipse 5x2 + y2 = 5 that are farthest away from the point (1, 0). smaller…

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Q: Find the area between the curve f(x)=x^3−110 and the​ x-axis from x=1 to x=3.

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Q: Prove from the precise definition of a limit: lim x = 4 x-2

A: We have to solve the limit using definition.

Q: Consider the following problem: a box with an open top is to be constructed from a square piece of…

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Q: The dimensions ofavectargubr refion are varying with the bimelt accordng -28 Cm/see and wa3t+6…

A: suppose area be represented by AA= L×wA=(2t2-8)(3t+6)A=6t3+12t2-24t-48now differentiating on both…

Q: Solve. y' = 7y-2; y = 3 when x=2 y = (Туре an exact answer, using radicals as needed.)

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Q: Find the derivative of the function. f(u) = u7e−u

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Q: show

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Q: Suppose sin (a) : and the trigonometric point P(a) is in the third quadrant. Use a trigonometric…

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Q: Approximate the point of intersection of the graphs of f and g. (Round your answers to three decimal…

A: follow the procedure given below.

Q: (2) use tue limit Couperisen Tert to defermine tue canleryencl or divergence of tud series Ź 3 sin…

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Q: In Problems 17-20, find the indicated values of f(x, y, z) = 2x - 3y2 + 5z - 1 19. f(6, -5, 0)

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Q: For numbers 4-10, answer the following questions for the piecewise defined function f(t). t2 t+6 for…

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Q: Write the first five terms of the geometric sequence a, based on the given information about the…

A: Given query is to find the first 5 terms of the sequence.

Q: 6 Use a trigonometric identity to find cos (x - - ) if sin (x) = (Express numbers in exact form. Use…

A: Use trigonometric identity

Q: If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) =…

A: Average Cost = C(x)x. Marginal Cost = C'(x)

Q: 197 Find the sine and cosine of - 12 197 Note that 12 Use sum or difference formulas involving…

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Q: Find the particular solution determined by the initial condition. f'(x) = 3x273 - 6x; f(1) = - 7…

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Q: 2. Let g(x) = evcos +, Approximate the value of g(0.2) using the second degree Maclaurin polynomial…

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Q: Find the area between the curve ​f(x)=x^2​+15 and the​ x-axis from x=3 to x=5.

A: Given query is to find the area under the curve.

Q: Area inside the circle r = 3 cos 0 and outside the cardiod r = 1+ cos 0

A: The region which is inside the circle r=3 cos θ and outside the cardioid r=1+cos θ is:

Q: Sz IF A-(-2 4) 2 3-( (-24リ Cュ Prove! CA *B) *C = AK( B+C)

A: We want to show the above equation is true.

Q: 6 Use a trigonometric identity to find cos (x - - ) if sin (x) = (Express numbers in exact form. Use…

A:

Q: xD'(x) Find the demand function q = D(x), given the elasticity conditions. Recall that elasticity of…

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Q: A firm's marginal profit, P, as a function of its total cost, C, is given by the equation below. a)…

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Q: ewrite int _0^1 int _0^{2-2x} int _0^{{1/2} (6-6x-3y)} dzdydx as dzdxdy and dydxdz

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Q: Find the distance between the parallel planes – 2x + y + z = 0 and - 10x – 5y – 5z – 11 = 0. - NOTE:…

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