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A: Given: I=∫dxex-1 ...1 As we know that; The Chain Rule: fgx'=f'gx·g'x And ∫1x2+1dx=tan-1x+C
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Q: Given f(x): 5x² 6x +13, find f'(x) using the limit definition of the derivative. f'(x)=
A: Given problem:- Given f(x)= = 5x²-6x+13, find f'(x) using the limit definition of the derivative.
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A: Follow the procedure given below.
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A: As per bartleby guidelines we only give first question answers.
Q: Q.3) 3+4x+20 dx = a) Q.4) f sin5x sin4x dx = tan-(+) 4 a) = (cosx - cos9x 9 cos9x c) (cosx +°%$*) +…
A: ∫1x2+4x+20dx∫sin5xsin4xdx
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A: 2.The given integral,∫-12ex-1dx
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A: To integrate
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Q: Given f(x,y)= x³(x²y³-2y²), find all of the first and second partial derivatives.
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A: The given function y=f(x) undergoes 2 transformations to map the graph of y=f(x) on to the graph of…
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Q: 21
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Q: Let R be the region enclosed by the curves y = x³ and y = 2x². If we revolve R about the line y =…
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Q: The volume generated by revolving about the y-axis the area bounded = 0 and y = 16. by the curve y =…
A: Volume is evaluated.
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A: We need to set up integral to find centroid.
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Q: expr lim x→-8 -2x² - 20x - 32 x + 8 - 32)
A: Given problem:-
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A: Explanation of the answer is as follows
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A: We have to find the distance of the rider.
Q: For the function R whose graph is shown, state the following. (If the limit is infinite, enter '' or…
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Q: Q.23) cos Q.24) cos(sin ¹x) = 24 sin11x) √1-1 d)√1-x² b) (sinx+1)+c 11
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Q: Vertex: Axis of symmetry: X f(x) = −(x + 1)² + 2 -10 -8 -6 -4 -2 10- 8- 6- 4 2- -2- -4- -6 -8- F~ 2…
A: Concept: Vertex: on the parabola, the greatest and lowest pointsAxis of symmetry: It's the straight…
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Q: S 3x+1 -dx x²-x-6 2
A: We know, ∫ dx/x = ln|x|
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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…
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Q: 4. A triangle has sides of length 13 cm and 22 cm and has an area of 100 cm² a) Use Heron's formula…
A: We have to solve the side and angle of given triangle.
Q: lim (SC - S(T)) where f(x) = -x²+x+6 f(7+h)-f(7) h h→0
A: f(x)=-x2+x+6= limh→0 f(7+h)-f(7)h limh→0 -(7+h)2+(7+h)+6-[-72+7+6]h limh→0…
Q: Solve the following quadratic equations (if they have solutions) a. 15x²0 = b. 2x² +9=0 c. x² - 4x +…
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Q: 2. Determine the centroid of the area bounded by the curves y = 4x + 16, x = -2x = 5 and x-axis.
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Q: A cardiac monitor is used to measure the heart rate of a patient after surgery. It compiles the…
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Q: The table shows the position of a cyclist. t (seconds) 0 1 2 3 4 5 s (meters) 0 1.3 4.6 10.4 17.5…
A: Average Velocity on a,b = s(b)-s(a)b-a.
Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) y c=-2 -3 + (-2, 3).…
A: The graph of the function is To evaluate: a limx→c+fx, c = -2b limx→c-fx, c = -2c limx→cfx, c = -2
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Q: 1) (4x + xy²)dx + (y + x²y)dy = 0_2) y' - 2y = 5 3)xxx + y = x
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Q: Evaluate e* cos(2x) dx
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Q: ute the area of the polygon with vertices at 5,1), (3,-10), (-3,-3) (-2,0)
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Q: 1. For what value of k if the line 6y +(2k-1)x= 12 perpendicular to the line 3y - 2x = 6
A: A line perpendicular to another has a slope that is the negative reciprocal of the slope of the…
Find F(s).
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