Evaluate afa²-x² dx. a. - Q² b. a² O a b e C. d. a³ e. none of the choice

Q: Let f(x) = { x - 2 7x 38 Find the following limits. lim f(x) = x→6- lim f(x) = = x→6+ lim f(x) = x-6…

A: This question can be solved using the concept of limits.

Q: dy Using logarithmic differentiation, find dx NOTE: Express your answer in terms of x only. dy dx =…

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Q: 2. Find y' if y = 7* (log4 x)⁹.

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Q: 1) A pump is used to fill an inflatable mattress at a constant rate of 0.25 cubic feet per second.…

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Q: If G is an antiderivative of the function g, so the following integral is equal to what option? 1-26…

A: Given problem:-

Q: In the Figure 1, if Q= 40 N, P = 50 N, and B = 145°, then R is equal to (in N): Figure 1: C R A Q B…

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Q: (d) f(x)=√√x-8 (e) h(x)=√x+2

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Q: (Simplify your answer.)

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Q: Find the average value of the function f(x)=x²-9 on [0,3]. The average value of the function…

A: The given function is  f(x)=x2-9

Q: Find equations for the planes: d. The plane through P(2,4,5) perpendicular to the line x=5+t y=1+3t…

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Q: Use the table of integrals to evaluate the integral. (Use C for the constant of integration.) 9 sec²…

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

Q: 2e2x √1-e4x dx

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: whought c. The plane through (1,1,-1), (2,0,2) and (0,-2,1)

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

A: Here we have to use the concept of derivatives

Q: Given functions f(x)=√x + 13 and m(x) = interval notation. Domain of f(x) m(x) Domain of f(m(x)) :…

A: To find out the domain of the functions.

Q: The statement (A + B) - (C' n B) = (A + C) is an identity. (Hint: draw a Venn diagram of the LHS and…

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Q: 4. Find an equation for the plane through (1, 3, 4), with normal vector . 5. Find parametric…

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Q: Annual sales of bottled water in the U.S. in the period 2000-2010 can be approximated by the…

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Q: Find the derivative of the function. 11 y=x¹¹ ex y'=0 V

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Q: Use the table of integrals to evaluate the integral. 6² 3saxav 53x³√4x² - x4 dx

A: To evaluate the integral.

Q: a. Show that f has a removable discontinuity at x = 3. f(x) = x²7x+12 x + 2 x = 3

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Q: Compute each of the following limits. (a) (i) lim 7x²5 x→-1 x²-25 (ii) lim X-5 x+5 (iii) lim x+2 x-2…

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Q: Find the directions of maximum and minimum change of fat the given point, and the values of the…

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Q: (x-2) dx = y + 2(x - 2)² dx

A: This is a problem related to differential equation. Based on the general formula and concept we will…

Q: If y = ecos(x) then y" + sin(x) y' +cos(x) = ****

A: We have, y=ecos(x) We need to evaluate, y''+sin(x) y'+y cox(x)

Q: Find f'(x) if f(x) = f'(x) = 8- cos x 8 + sin x

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Q: Question1: Classify the following differential equations in terms of the (Type, Order, Linearity and…

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Q: Graph the parabola y=(x^2-100x)/50

A: Graph the parabola y=(x^2-100x)/50

Q: Find dy dx dy d.x = if 3y³t + t³y = 4 and d.t dx = 1 cos t

A: Given

Q: . Evaluate cos 3x sin² 3x dx

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Q: 3 use the definition of latlace transforms to find £{+²H (E-5) } JINO

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Q: Using horizontal strips, which of the following gives the area of the region R bounded by y=2+x-x²,…

A: Explanation of the answer is as follows

Q: D Question 3 Let P = f(t) be the population of the United States, in millions, t years after January…

A: We have to explain each mathematical statement into practice meaning.

Q: Find the directions of maximum and minimum change of fat the given point, and the values of the…

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Q: (1 + 1 1 + In(x) + - X (x+y)ln(x) - 5y = c dx = (5-In(x)) dy

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Q: Find the given limit. 2 X-4 lim 7-x X--7 Select the correct choice below and, if necessary, fill in…

A: Find the limit

Q: Derive the Maclaurin and Taylor Series of the function below:

A: In this question, we want to calculate the Taylor and maclaurin series expansion of the function…

Q: The result of A(B x C)+ A × (B.C) may be: 10 2i+3j O 2i+2j-k

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Q: Use long division to divide. (Simplify your answer completely.) (5x³-16 - 20x + x4) = (x²-x-3) 1-√13…

A: Note :- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Max was injured and can no longer work. As a result of a lawsuit, he is to be awarded the present…

A: Concept: We have the present value (PV) If the rate of receipt of revenue from time t=a to b is R(t)…

Q: The value of the following limit Lim (cos(x)) cou(x) is: A4

A: This question can be solved using the concept of limits.

Q: 1 If f(x) has an inverse function f-¹(x), could either the graph of for the graph of f-¹ be…

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Q: A 40-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1…

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Q: e. The line through (1,1,1) parallel to the z-axis. f. The line through (2,4,5) perpendicular to the…

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Q: How would you find g (A) if a) g (x) = 1. b) g (x) = (x + 1)2 . c) g (x) =⌊ (2x + 4)/3⌋ Where A =…

A: Disclaimer:  “Since you have asked multiple questions, we will solve the first question for you. If…

Q: A number x is selected at random from the interval [4,20]. The probability density function for x is…

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Q: Question 4 A student club is selling t-shirts for Thon every weekend. They found that when selling…

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Q: Using the polya's four step problem, how many square are in the figure?

A: Concept: Polya's four-step problem solving: (1). Recognize the issue.Sometimes the issue isn't so…

Q: Find all solutions on the interval [0°, 360°). Use exact values. 3 cos x - 3 sin x cos x = 0 =

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