IV. Do as indicated. 1 1. Let f(x) Find the equation of the tangent line to the graph of f'(r) at the point x² +1 where = 1.

Q: (3x-x²) dx x² Reciprocal Substitution

A: Let's find.

Q: 8 An acceleration function is expressed as a (s, v) = s²-. ' (v+1)³ determine displacement by…

A: a(s, v)=s2-8(v+1)3v(s)=∫0s a(s, v) dv      =∫0s s2-8(v+1)3 dv     =s2v0s -8 (v+1)-3+1-3+10s     =s2s…

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A: The given integral,  ∫sin-1x dx

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Q: 1. Evaluate the following limits. L'Hopital's rule is NOT allowed. 4. lim x-∞ 8118 5. lim 1-x+ 2x +…

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A: Find your answer below

Q: Choose ALL of the following intervals on which the following function is continuous. 2-4 f(x) = 2²²6…

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Q: Solve equation by using the quadratic formula. List the solutions, separated by commas. 4t² +t-1-0

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Q: Question 13 Graph f(x)=x²-10x + 24 below by first selecting the correct shape, clicking the vertex,…

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Q: Solve 4t² +8t+4= 0 by using the square root method. Hint: complete the square first! Enter each…

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Q: Question 9 Let f(x) f-¹(x) = 1 2+8

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Q: Sa 2x²+2+x³+x² =dx = [Aƒ (x) — B ln(g(x)] + D fb dx, and if A = ,B<0, then f(x) dx x+2 x² 2x + + 5…

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Q: Given: (1+2x) e-x dx. Using integration by parts and letting u = -1- 2x, dv = f(x)dx, then the value…

A: Let's find.

Q: Find F'(x). SOLUTION IN HANDWRITTEN|| 1 1. F(x) = √²2dt -2x-³ 2. F(x) = ²x²²x cos x² dx

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Q: Question 8 Using trigonometric substitution, what is f √x²_9 x3 A sec (-²) – + C √x²-9 6x² B √x²_9…

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Q: - 19 f(x+1)-(x2 - 6x +13) Ax + B √x²+bx+c² dx? (3)-In/x² - 6x + 13| + C The integral What is the…

A: Using partial fraction…

Q: 21. Given the integral [ cot³x csc ³x dx. If u = cscx, then the integral can be re - written as:

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Q: How many different 5-digit phone numbers do not contain the digit 6? Assume that any digit in the…

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Q: Suppose that $2000 is placed in a savings account at an annual rate of 4.2%, compounded monthly.…

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Q: Integration by Parts 4. fxe4x dx 5. [ e* cosx dx

A: This question can be solved using the concept of integration by parts.

Q: 19. -π/2 21. -π/4 23. [³5e* dx sin 0 de cos x dx sec² 0 do (2x secx tan x) dx 20. rπ/3 22. 24. [¹-dx

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Q: List intervals on which the following function is INCREASING. Use INF for infinity, use no spaces,…

A: The given function,    fx=3x2-1

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A: Given circle , With center at origin (0,0) And a point on circle is (4,3)

Q: Find all real solutions of the equation 8m² -18-374. Write your answers as a list, using a comma to…

A: A detailed solution is given below

Q: Question 14 If f(x)=x+4 and g(x) = -4, (a) f(g(x)) (b) g(f(x)) (c) Thus g(x) is called an function…

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Q: e2x+Inx² sin x² dx -+fe²x cos x² dx

A: This is a problem related to integration. Based on the general formula we will solve the problem.

Q: Find an equation of the plane containing the point (3,0.-4) and perpendicular to the line r(t)=…

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Q: (A) = and B D = . Find the vector projection of A onto 2A - BO O O O none of the above

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Q: Question 3 3x² + 5x + 2 Let f(x) 2x² + 71 4 This function has: 1) A y-intercept at the point 2)…

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Q: Find the derivatives of the function xy² x-y x + y

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Q: How long will it take for a $3000  investment to grow to $17,556 at an annual rate of 11% ,…

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Q: ƒ dx = f(+ g(x)) dx, then A + f g(x) dx is equal to x³+x A. -1 B. -1 + In(5/2) C. 1 D. -1 + In(7)

A: Given that,

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Q: Consider the parabola given by the equation: Find the following for this parabola: A) The vertex is…

A: The given equation,    fx=-9x2-18x-7

Q: a's father is planning to open a savings account to pay for Amelia's college education. He has found…

A: Given query is to find the value of deposited amount.

Q: 8. The integral What is the value of A. B. can be rewritten as 15x²x³43x - 19 (x + 1)²(x² - 6x +13)…

A: Let's find.

Q: Explain why you think the sequence converges to a finite number or (n+1)! diverges. If the sequence…

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Q: Question 7 Let f(x) = 6x +11 f-¹(x) =

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Q: graph each function using transformations or the method of key points. Be sure to label key points…

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Q: √x²-9 √ di Using trigonometric substitution, what is f - dx ? x3

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Q: Using integration by parts, 2 x³ cos(x²) dx = k Then k is? (a) - 1.5136 (b)-1.1365 2 x sin(x²) dx k…

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Q: Describe the graph of the equation. r = 7 cos ti - 9 sin t j + k major axis of length 7 parallel to…

A: We need to describe graph of given function.

Q: Find the area of region bounded by the graphs of the equations. a. X b. y = x + sin x y + 3 2 1+ -R…

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Q: √a²-x² -dx √a²-x² X --Arcsin (). + c

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Q: Find the inverse function of f(z)-1+.

A: