8. Compute using the trig. substitution S x2 -dx (1–x²)1/2

Q: is displaced 8 cm from its equilibrium 4.A pendulum has a length of 40 cm. position and then…

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Q: Show that the equation 2x+ sinx=0 has exactly one real root. (Hint: Step 1 show that the equation…

A: Solution is given below:

Q: 1. Find an angle a in the fourth quadrant such that cos a = 0.4 A) 116.4° B) 66.42° C) 285.4° D)…

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Q: ) I would eed help to dentify the surface whose equation is given below, please?  2r^2 + z^2 = 1

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Q: Evaluate the triple integral g(z, y, 2) dV over solid B. B = {(x, Y, 2) | 4° 0, y > 0, 5 < z < 8}…

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Q: Suppose f( – 1) = 3, f'(– 1) = 6 , and g(æ) = x°f(x). The tangent line to g(x) at x = 1 is given by…

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Q: 2 For the function f(x) = find f"(x). Then find f'"(0) and f'"(3). 1+x f'"(x)= | O

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Q: raphs and Derivatives he given graph is the graph of f': the derivative of some function…

A: We need to find interval and draw graph.

Q: Write the partial fraction decomposition of the improper rational expression. x4 + 2x3 + 8x² + 13x +…

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Q: A triangle has side lengths of 40 and 26 and an included angle measuring 38 degrees. Find the area…

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Q: Xi -3 -1 0. -2 1 f(xi) 7.1 -4.3 -3 -2.6 -0.6 Given that the above data was extracted from the…

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Q: QI Evaluate 2 2 || 2y2 sin(xy) dydx 0 x

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

A: Given problem:- Find the vectors that satisfy the stated conditions.   (a) Oppositely directed to v=…

Q: Find t6e eavation of tangent ine of fcx) = X+) at X=2 X-3

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Q: Cohsider the set A illustrated on the number line below: -5 -4 -3 -2 -1 1 2 3 4 Which one of the…

A: We can solve the given problem as follows:

Q: Trigonometric Groups 3. S sin³x cos5xdx 4. S Vtan x sec*x dx

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Q: 4. We want to make a gutter with a long sheet of metal 12 cm wide by bending the two long sides and…

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Q: 2. Find the equation of the tangent line to the graph of y = 3cos 4x at x = 3

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Q: y = (x+ 2) 2 y = 4 X = -2 y= (x+2)? y= 4 Select the best option to describe the method to solve this…

A: Solution is given below:

Q: Fill in the table and then sketch the vector field. z| y F(z, y) = (, %3D 20 0 2 -2 -2 2 -2 -2| -2 2…

A: Here, to fill the table and then plot the vector filed.

Q: Find slope of the tangent line to the graph f(x)=; at x = 0. 1+cosx

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the…

Q: Find all possible values of x such that In(x) + In(x + 1) = ln(2). If no such values of x exist,…

A: lnx+lnx+1=ln2

Q: Vn Σ: 4n2 + 9 n=1

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Q: The concentration, C, of phenylbutazone, in micrograms per milliliter (ug/mL), in the plasma of a…

A: Here, the given model is: C(t)=42.94e-0.01054t where t is the number of hours after injection

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i +j and i- 6j as…

A: Here we have to find the length of the diagonal.

Q: N. xe S 2(cos x)(sin x)dx = 2 +c (5 In(3x) dx 11. Sln°(3x) o. 12. +C Р. сot x -dx =+c 13. Q. cot?x

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find the Maclaurin series for f(x) = cos (x'). %3D (Use symbolic notation and fractions where…

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Q: S(-0) dx = - 4 In|x| + C 8. 2. )dx = 6 Vx + C

A: ∫x4-dx=x28-4ln(x)+CApply the Sum Rule:…

Q: Using EXCEL Solve the following system of linear equations by using a. Cramer's Rule. b. Inverse…

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Q: buff'g'sinay olxly

A: To solve the following integral

Q: Inx For the function f(x) = - find f'"(x). Then find f'"(0) and f"(2). 11x f"(x) =O

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Q: dx e 2x+1

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Q: How many terms of the Maclaurin series of f(x) = ln (1 + x) are needed to compute In(1.5) to within…

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Q: Find a power series representation för the function. (Give your power series representation centered…

A: The given function is f(x)=ln(11-x).

Q: Select the correct graph of the second derivative of the given function /)

A: Given graph of a function.

Q: 2. Find the arc length of x =t?, y = (6t +9)2 from t = 0 to t = 4.

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Q: 6. 24 4 3) 0 1 %3D 0.

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Q: f(x) = x° – cos(x) Solve this question by the Newton-Raphson method on the topic of solution of…

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Q: 4. sE dx = Inlxl- e* +C %3D (品)+c S(D-) dx =- Ialal + c 5. S2+*dx = 4 Ina Inixl 6. 2 In3

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Q: 3. Find the derivative of the following functions using differentiation rules. x2+V+V+14 a. y = b. y…

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Q: 2. Find the solution(s) to the differential equations: a. y"(x) + y'(x) - 6y(x) = 0 and b. y"(x) -…

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Q: Derive the reductive formula for ∫ ln^n(x) dx

A: Solve using integration by parts.

Q: . What is the outer function? 2. Find dy/du. 3. What is the inner function? 4. Find the derivative…

A: see below the answer and calculation

Q: Rotate @ x – axis : DISC method A = R(B) = xC Submit A, B, C (small letters or numbers) X=3 Y=9

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Q: Suppose that f, g(t) dt = /2. Find g(1) dt g(u) du а. b. c. [-g(x)] dx 'g(r) dr d.

A: Follow next step

Q: (0.7)

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Q: 20. 7) x-5x

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Q: Question 8 The function f has first derivative given by f'(x): What is the x-coordinate of the…

A: We need to find inflection point.

Q: For items 1 to 5, consider this function: 3. y = V5x² – 4 y%3D

A: Given query is to find the derivative of the expression

Q: 8. Use im te gv al test to de trvmior Comverfne or Divrigen of the foll owig Spoiver

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