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Q: Find the indefinite integral. | 15 7 19 – 14 d t8 - dt

A: We have to solve the integral

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A: Here, to evaluate limx→∞x cos1x

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Q: 49. y' + (-) x =) = xy²

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Q: 4x² - 4x + 6 1x²³ + x² - 6x 3 use partial fraction

A: The objective of the question is evaluate the indefinite integral help of partial fraction.

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: 8. Simplify 2√80-7√20 a) — 6√5 b) 90 c) 5√22 d) 22√5

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A: Fundamental theorem of calculus relates integrals and derivatives.

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Q: he limit (if it exists). (If an answer does not exist, enter DNE. Round your answer to four decimal…

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Q: S By an appropriate trigonometric substitution, S: I 1 √10 sin 0 cos² Ode Cos 0 10 sin 0 -do |…

A: Here we will use Trignometric sunstitution for given integral.

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Q: The function f is graphed below. State the values that fulfill the following requirements. If there…

A: Please see the below picture.

Q: For the linear function y = f(x) df dx a. Find at x = 8. ƒ'(8) = b. Find a formula for x = f-1(y).…

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Q: 15 Lo - - dx 15 X (x + 1) ²/ O 0 O or| 800 88 O 1 O 176 5

A: The answer is 0.

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Q: 10. Which of the following is FALSE about the parabola for the function f(x) = (x + 2)² − 6 a) The…

A: The given parabola function fx=23x+22-6 The general parabola equation y=ax-h2+k where, h,k be the…

Q: Evaluate the definite integral. Use a graphing utility to verify your result. 9 [(u - 2) du Submit…

A: Topic:- application of integration

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Q: Compute the rotated area bounded by y = 2x, x = 2 and x-axis about x-axis

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Q: Find the exact length of the curve. r(t) = (51, 3cos (1), 3sin (1)), -4≤1≤4 OA. 16√3 OB. 0 OC. 8/26…

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Q: a. Find the linear approximating polynomial for the following function centered at the given point…

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Q: 7. Simplify the radical expression √7 a) 26 b) √35 c) 14 d) 196

A: The given radical expression is 7×28 use the algebraic properties, am×bm=abm

Q: Use summation properties and formulas to rewrite and evaluate the sum. 31 Σ [(3i)² – 6i] - i=1

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Q: (i) Solve the following triangle. (You may need a calculator) C A 45° 105° N B

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Q: Find the limit of s(n) as no - + [n(n+¹)] s(n) Submit Answer

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Q: 1 The length of the curve y = x³ + x¹ from x = 3 to x = 4 is: a. b. C. d. 145 16 257 12 99 8 593 48

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Q: 5. S (2x+1) dx (x+4)*(x-3)6

A: Given - ∫(2x+1)(x+4)6(x-3)6dxthen we know that -…

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Q: Exercise. Find the curvature and the radius of curvature at any point. 2. R(t) = e²¹i + (t²-1)j 90#-…

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Q: The derivative of f(x) = tan- is: Select one: O a. O b. O C. O d. 1 x² cos² 1 -1 x² cos² 1 xcos² 1 F…

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Q: For the following equation, find Answer: dy da || y = -4x5 8x³ + x² +9x

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Q: Find the curvature (t) of the curve r(t) = (−4 sin t) i + (−4 sin t)j + (1 cost) k

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Q: 2 6) Compute the area bounded by y² + 2y + 4 and y = 4.

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Q: 2) The region in the first quadrant bounded by y = x y = 2. Calculate the volume using the shell's…

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Q: Question 14 (1 point) ✔ Saved Determine the scalar equation of a line with a normal vector passes…

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Q: help

A: Acute angle are measured from 0 to π/2

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Q: Which of the following is the correct limit definition for the derivative of g(x) = x² + x? O (x+h)²…

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Q: 5) Calculate the area of the region between the curves: y=2-x² and y=x²

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Q: -5 -4 -3 -2 -1 5 4 3+ 2+ 1+ -2- -3+ -4 -5+ ܐ 2 3 4 5

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Q: 2y dx + x(x² In y − 1) dy = 0.

A: