Find the sum of the geometric series. 1)" n-1 2.5 5 15 25

Q: 75 ft A pole stands 75 feet tall. An angle 0 is formed when wires of various lengths of x feet are…

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Q: 3. Let the statements A, B be A: (not p) and q, B: (not p) or (not q). If p 0 and q = 1, then !! %3D…

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Q: 2. f(x)= 7x2 -19x - 6 at (4, 8)

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Q: (3y² + 10xy²) dx + (6xy – 2 + 10x²y) dy = 0 %3D

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Q: dS u dt %3D S Integrating between time 0 and time T, we get ST = SoetT

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Q: A producer has determined that the revenue generated from the production and sale of x units of a…

A: what interval(s) of production is the revenue increasing and for what interval(s) is it decreasing?

Q: 2. Write the given (total) area as an integral. (vde a. The area above the x- axis and below y = 4–…

A: Here we have to find the area.

Q: Write 32/3 as an integral

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Q: Find the volume of the solid that results when the region enclosed by the given curves y = e-2x, y =…

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Q: 10. The total cost, in dollars, of producing x units of a certain product is given by C (x) = 8x +…

A: The total cost, in dollars, of producing x units of a certain product is given byCx=8x+20+x3100and…

Q: Which of the following transformation statements is not true about the transformation from y = cos-1…

A: We can reflect the graph of any function f about the x-axis by graphing y=-f(x) and we can reflect…

Q: i=1 + 20b;)

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Q: Find the area bounded by the curve y= 4-x2 and thex-axis. Graph

A: We can find the area bounded as below.

Q: Given that f(x) = a°h(x) h( – 1) = 3 h'( – 1) = 6 Calculate f'(- 1). Hint: Use the product rule and…

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Q: In Exercises 1–8, find the length and direction (when defined) of u X v and v X u. 1. u = 2i – 2j –…

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Q: For the function y f(x) - la + 10: - df at x = 1. dx a. Find f'(1) = b. Find a formula for x =…

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Q: Evaluate the integral (Partial Fraction Decomposition) x +1 dx J (x² + 2)(x² + 1)²

A: First of all let…

Q: Let f(x) tan-(cos(32)) f'(x) =

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Q: 6. 2y²e»² dx + 2xye»*dy = 0

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Q: 9. Is the function defined by gon3 – 3 if 2. continuous at r= 2? differentiable at x = 2?

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Q: The region bounded by the curve y= x² and the line y=3x is revolved about c) the line x=-3 b) y-axis…

A: This is a problem related to volume calculation by solid revolution. Based on the general formula…

Q: Use the ratio test to determine if the following series converges or diverges. 7" n=1 n!

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Q: 14. Given the vector form of a line in three-space to be [x, y, z] = [2,6, – 3] + t[4,10,6], find a.…

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Q: Find the slope of the tangent line to the curve of intersection of the graph of z = 2x2 + 3xy + 2y2…

A: We need to find slope of the tangent line.

Q: Determinant of n x n Matrices. Solve for the determinant of the following matrices using (a)…

A: We are allowed to solve one question at a time. Kindly repost other problem in next question. Thank…

Q: - 47 f(x)dx = 12 - 51 | and - 47 |. 9(2)da = 20 – 51 and - 47 - I h(x)dx = 32 - 51 what does the…

A: We can solve the integral as below.

Q: Find the average value of the function f(t) = 4 t sine) on the interval [0, 20]. Round your answer…

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Q: Which of the following graphs represents the polar equation defined by: r = 2+2 cos 0?

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Q: Find the area of the region. See Examples 1, 2, 3, and 4. f(x) = x2 - 7x + 6 g(x) -x2 + 5x + 6 y 10…

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Q: (a) Find the extreme values on [–1,4] of p (x) re-z²/8. = xe

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Find all first-order partial derivatives of the given function. + ye2= (b) g(s, t) = s tant + log2(s…

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Q: 2. [Growth of a tumor] When the radius of a spherical tumor is 6 mm, it is growing at a rate of 0.1…

A: To determine how fast the volume is changing.

Q: If F(x) = f(g(x)), where f(2) = 5, f '(2) = 5, f (-2) = 1, g(-2) = 2, and g'(-2) = 5, find F '(-2).…

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Q: L 4e3-1 dr = 7.96 x 10 True O False

A: To determine whether the given statement is true or false.

Q: 9. 8. 13 3 f(æ)dæ = / f(x)dæ + f(x)de - f(x)dx, a 4 8. 4 what are the bounds of integration for the…

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Q: Evaluate ||e+ dA where D is the triangle with vertices (0,0), (-2,4) and (8,4). D

A: To find the value of given double integral.

Q: If (-1)" an is convergente then 1/an is n=0 divergente Select one: O True O False

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Q: x³ + x² + 2x+1 dx (x² + 1)(x² + 2)

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Q: 14. A box has a square base of side x and height y. (a) Find the dimensions x, y for which the…

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Q: Let f(x) = 4x^2 – 7x. Use the ɛ/8-definition of the derivative to prove that f'(2) = 9.

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Q: Find f. f"(x) = -2 + 18x – 12x?, f(0) = 2, f'(0) = 14 f(x) =

A: Here we will find f(x),

Q: 7) At the right is the top view of a Chemistry Butiding in UP Diliman. It resembles the famous…

A: The sum of a polygon's internal angles: The following formula is used to determine the sum of…

Q: Demand Function: d(x)= 500-0.6x Supply Function: s(x)= 0.2x Find the Equilibrium quantity= Find…

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Q: Find: d/dt (xe^x)

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Q: 5. Evaluate the expression without using a calculator. Sh (a) sin (쓰) (b) cot(-210°) (c) csc(cos-1…

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Q: Evaluate the integral. 2 dt 1- t2 V

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Q: If a rock is dropped from a height of 45 ft, its poistion t seconds after it is dropped until it…

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Q: sin can be expanded to: sin 4 COS 2 cos - sin sin 2 O sin 4 sin -cos - + cos –sin 2 4 2 O sin + sin…

A: The detailed solution is given below Thank you

Q: Find the volume of the solid that results when the region bounded by y = Vā ,y = 0 and æ = 4 is…

A: Volume

Q: 1 6. Find dx. V2x2 –8x+2

A: Solving