If tan(0) Hint = sin(0) = cos(0) = sec (0) = 15 - 8 ) 0 ≤0 ≤ 90°, then the exact value of

Q: Determine whether the following series converges or diverges: 2. 1. +00 Σ n=1 1 + sin2n] 10n +00 ΣΕ…

A: We need to determine whether the given series converges or diverges

Q: What is the equation of the tangent line at 3x+1 0₁ = 1² of f(x) = ² 0, 2 X-2

A: The equation of tangent is :

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Q: [4 - x - x² if x 5 Use a graph to determine the following limits. Enter DNE if the limit does not…

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Q: 8. Assume that f(x) g(x) and table. Use the following table to calculate the following derivative. 2…

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

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Q: | 6. Use a trigonometric substitution to evaluate x³√x²-4 dx.

A: We will find integral using  trigonometric substitution.

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y=x√√√3-x² dy =

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Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

A: We have to find the slope of the tangent line to the polar curve  r = cosθ3 at the point θ=π.

Q: Find y as a function of a if y(0) = 7, y/(0) = -12, y'(0) = 108. y(x) = y" + 36y' = 0,

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Q: #2 du = Ixlux dx 3 13 x 3 dx dv=lnx dx V= x/nx-x Distribute clnx-x). = (1+x) (x I^x-x) -…

A: Using Integration By-parts formula

Q: 1. Let f(x, y) = y³ + x³ = y² - 3x + 30y. (a) Find all the critical points of f. (b) Determine…

A: To find out the critical points and also classify them as relative maximum, relative minimum and…

Q: 6. Find the value of 2-x² 2-2 I = [₁ ²2² (2² +1²) dy dx + [ ²7 ( 2² + y²) dy dz √2J-√√2-1² by…

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Q: 11. A ball is thrown downward with a speed of 8 ft/s from the top of a 64-foot-tall building. After…

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Q: Complete detailed solution. What is the equation of the tangent line at x=1of f(x)=1-2x

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Q: Write an expression in factored form for the polynomial of least poss 5+ 3 W 1 2 3 4 5 -2+ -3 -5 -4…

A: We have to write the polynomial in factor form from the given graph of polynomial

Q: In Exercises 35-40, find the partial derivative of the function with respect to each variable. 35.…

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Q: 4. Use integration by parts to evaluate (2x - 5) cos(5x - 2)dr.

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Q: (c) f(x) > 0 The solution set is (-2, 0) U (4, 00) (d) f(x) ≥ 0 The solution set is 10.01 (0,0)…

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Q: It has been determined that the cost of producing a units of a certain item is 10x + 1585. The…

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: Find the coordinates of a point on a circle with radius 20 corresponding to an angle of 160° (x,y) =…

A: Given that , Radius of circle r=20 angle θ=160° find the coordinates of a point.

Q: If sin(0) and is in quadrant I, find the following: 7 Give exact values. No decimals allowed! cos(0)…

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Q: Solve: 20 tan² (0²) de a. O b. O c. ✓d. sec(0²) - 0 sec(0²) - 0² tan² (0²) - 0 tan(0²) - 0²

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Q: The profit P for a company is P = 100xe-x/650,where x is sales. Approximate, using differentials,…

A: Calculate the profit at these two points then do the further process.

Q: We are trying to prove a certain limit. Once we have specified & in terms of &, one of the steps in…

A: If 0<x-8<δ, then -4x+32<ε

Q: Evaluate the integral: dw J 2000 5 W8 W8

A: I have stated the used formulas in the solution

Q: The measurement of the edge of a cube is measured to be 9 inches, with a possible error of 0.04…

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Q: a B sin(A) = cos (A) = Note: Triangle may not be drawn to scale. Suppose a = 9 and b = 2. Find an…

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Q: Find the volume of the solid that results when the region enclosed by y = √√√x, y = 0, and x - NOTE:…

A: Understanding of volume of solid after revolution is required to solve these problem.

Q: Question 11 For the function f(x): a. the x and y intercept b. the vertical and horizontal…

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Q: A truck with 22-in.-diameter wheels is traveling at 45 mi/h. Find the angular speed of the wheels in…

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Q: QUESTION 1 Consider f(x)=x²+2x+1. Which of the following is true? Of is continuous at all C; given…

A: Let's solve.

Q: Differentiate implicitly to find the first partial derivatives of z. 5x² + 11y² + 7z² = 4 (No…

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Q: Let f(x) = 3x + 2. Determine (fofof)(x). (fofof)(x) =

A: The given function is: fx=3x+2   As we know that; f o f o fx=fffx

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A: Given :Function :y=1y=cos2x

Q: The graph of y=f(x) is given. Solve the inequalities. Write the solution set in interval notation if…

A: To answer the given questions using the given graph. Note that, the range of the function is:…

Q: Solve the differential equation. df ds 85+9 (45²+95 +2)²

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Q: Find dw/dt using the appropriate Chain Rule. w = x² + y² x = 3t, y = 8t (No Response) dw dt

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Q: Complete the equation for the piecewise function graphed below. +6+ 5 -4- 3- 2 + -6 -5 -43 -2 -1 H…

A: For any straight line ,we need know two points, Here from -6≤x≤2 clearly line passing through two…

Q: Use the comparison theorem with f(x) = = 1 √x to show that [₂²= 1 √x-1 is divergent.

A: See this solution in below

Q: f(x)=√x² - 6x. Use interval notation to indicate the domain of f(x). Note: When entering interval…

A: We have to find the domain of f(x) = x2-6x4.

Q: Find the total differential. w = eбy cos(4x) + z7 dw (No Response)

A: Explanation of the answer is as follows

Q: 5 0 dx x + 169

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Q: Find the general solution of the differential equation y(4) - 4y" = t² + et.

A: Given :y4-4y''=t2+et

Q: Find the gradient of the function at the given point. g(x, y) = 9xex/x, (17, 0) Vg(17, 0) = (No…

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Q: The rate for parking in the short-term lot (maximum of 12 hours) at the seaport is $1.50 for the…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 4x + (sin(x))² dy

A: The solution is given below

Q: In which quadrant does the terminal point determined by t lie? Input I, II, III, or IV. (a) If…

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