17. (Vx-x)dx (1-x²) dr 18. 19 o. Sy² dy 20.

Q: How can you relate antiderivatives as an opposite of derivatives in your life? explain

A: Solution is given below:

Q: Evaluate the definite integral 3e-0.05r dr by the following steps: (a) Determine the indefinite…

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Q: LL %24 Use the graph to evaluate the limit. lim f(x) of 8. 2. pe here to search F4 F5 F7 # %

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Q: Consider the following function and closed interval. f(x) = x3 - 4x2 – 16x + 5, [-4, 4] Is f…

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Q: dx Using Trigonometric Substitution find f(0) 3 (x² + x + 1) 2 4 3 sec? e O 3 sec? e 4 O 3 sec e 4 3…

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Q: V4-x2 aluate dy dx using pol 2x-x2 prdinates.

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Q: k! (ii) ek k=1

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Using Integration By Parts ∫ 2x^2 e^(1/3)x dx find uv - ∫ v du

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Q: Find the velocity and acceleration vectors in terms of u, and ue. d0 T= a sin 60 and = 5t, where a…

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Q: + Inx y(In2x – Iny)

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Q: 3. Sin x dx 3- COS

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Q: Find the area: Y = cos x and y sin x on 0, 27

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Q: Find the antiderivative F of f that satisfies the given condition. Check your answer by comparing…

A: ∫f(x) dx=∫ 5-31+x2-1dx=∫ 5dx-∫ 31+x2-1dx=5x-3arctanxAdd a constant to the solution=5x-3arctanx+C…

Q: 2 Evaluate V4-x² dy dx using polar 2x-x2 Coordinates.

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Q: 4. S Vä(x² + 2) dx 5. S(-3 Vã – 6x v7) dx 6. (9x*-6x²+7x²-5x+15 dx 3x

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Q: [ 1-x+2x²-q³ -d.x 6. x(x²–1)²

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Q: Use differentials to approximate the value of (3.01)2 + 2(0.99) – 3 in four decimal places.

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Q: Use the limit definition to calculate the derivative at x = a of the linear function f(x) = 31.…

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Q: 2. sin° (x) cos° (x) dx

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Q: x³ + 6x² + x+2 s ax + In[cx + 1}*(x² – x + 1)°| + fx-1 Tan-1. V3 The resulting integral of x³ +1 +…

A: use simple integration formula.

Q: Find all points (x,y) on the graph of y = x-4 with tangent lines perpendicular to the line y = 4x +…

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Q: dx + (1 – x²)cot y dy = 0

A: Given problem :- dx + (1-x2 )cot(y) dy = 0 Find the general solution of given differential equation

Q: 3x2+ 8x – 12 3. -dx. Use partial fractions. x3+7x2+ 12x

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Q: Find 8²-45+13 2

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Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 2 1 lim t++00 \ 5t2 + 6'4t (?, ?)

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Q: +00 dx II. Evaluate the improper integral x(In x)²

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Q: ] Let D be the region bounded between x + y = 4 and x + y = 9 that lies within the second and the…

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Q: Evaluate the definite integral: 1/5 dx 1-x2

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Q: 3x2 + 7x + 28 A f(x) Using partial fraction, evaluate x3 + x2 + 7x dX, the decomposed fraction is x2…

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Q: (1 – x²)dx eTextbook and Media 2) V You answered correctly! Move on to the next part to add to…

A: According to guidelines we solve only first question.

Q: Use power series to estimate arctan .2 correct within -10-. Leave your answer as a simple fraction…

A: The power series for arctanx is x-x33+x55-x77+..... For a estimate within 12·10-5, we'll have to…

Q: cos. Given: tan x |dx. Using trigonometric transformation , the integral in terms of u is m ( u ™ )…

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Q: For mutually exclusive events R1, R2, and R3, we have P(R,) = 0.05, P(R,) = 0.5, and P(R3) = 0.45.…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Let f(1) = r". Use logarithmic differentiation to determine the derivative. f'(z) = f'(1) =

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Q: Find an antiderivative of the function. (Remember to use absolute values where appropriate.) (a)…

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Q: dx Using Trigonometric Substitution 3 sin e+C. 3 express the answer in terms of x. (x² + x + + x+1)…

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Q: What will you factor out from the integrand of ] csc°(3x)dx so that you can transform it to its…

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Q: Find the polar equation of a line parallel to the line r cos (0 = 1 and lying at a distance d = 5…

A: The given line is: rcosθ-π5=1. A line parallel to it, will be of the form: rcosθ-π5=k

Q: A cone-shaped paper drinking cup is to be made to hold 33 cm3 of water. Find the height and radius…

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Q: 41. Suppose that both f and g have inverses and that h(x) = (f o g)(x) = f(g(x)). Show that h has an…

A: Explanation of the answer is as follows

Q: Determine the general equation of the plane 2 passing through the point P (1, -4, -5) and parallel…

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Q: 4. Given [2r + 5], 4- 2x 1² – 2x' if r < -1 f(x) = if –1<x< 2. sin(r – 2) 2 if r 22 a. Discuss the…

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Q: cos x Given: tan x dx. Using trigonometric transformation , the integral in terms of u is sin x Cos4…

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Q: (x² -2x9 dy Solve The firest orler oDe

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Q: 1. Evaluate the following limits. 2 - V2r + 10 a. lim 1-3 x2 + x – 6 4x – 7 lim z+-1- \3x2 – 2r – 5…

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Q: s-8 3. (s-3)(s²+2s+17)

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Q: x(z – 2y)100 = yz + x; Yx and x,.

A: Solution is given below:

Q: 4. x2(y + 1)dx + y² (x – 1)dy = 0

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Q: (U.1. 6. Find the dimensions of the closed rectangular box of largest volume with surface area of 16…

A: Surface area of the closed rectangular box:(with square bases) and height h;2x2+4xh…

Q: Find the length of the following curve. If you have a grapher, you may want to graph the curve to…

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