Wha is the derivative of exp(22²)? ○ 4a exp(2x²) exp(2x²) 2x² - exp(22²) exp(4x) ○ 4x exp(4x) ○ 4a-log(2x²)

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A: Given that: Cx=0.01x2−3x+229Rx=429−2x To find the area between the graph.

Q: If f(x) f'(x) = [ 7-x² 3+x² find:

A: Topic = Derivative

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Q: Find the limit. x²y lim (x,y) → (0,0) x² + 8y²

A: limx, y→0, 0x2yx2+8y2

Q: 9. Find the area bounded by a parabola and any right chord. (Use the parabola y² ax, chord x = x1.)

A: solution is given below..

Q: Question 1 Find lim f(x) given the graph of f(x) shown below. x-5 +++ -10-9-8-7- Y 3 4 5 6 7 9 10 x

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Q: 0.5 for A mortality table is defined such that¸p¸ ={1— x100. Calculate the complete expectation of…

A: Answer is 40.

Q: Find the Indefinite Integral and check your result by differentiation. (Use C for the constant of…

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Q: Evaluate the following integral over the Region R. (Answer accurate to 4 significant places). SS R…

A: In this question, we need to evaluate the given integral.

Q: · (b + c) = ² 7. Prove that à. = a · b + ac for all a, b, c € R³.

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Q: Det er mine absolutely it each convergent, Conditionally convergent, you > k=1 the following is or…

A: Given ∑k=1∞coskπk

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Q: The function f is shown below. What is the value of answer in simplest form. -10-9-8 -7 -6 -5 -4 -3…

A: This question is related to definite integration, we will solve it using given information.

Q: -) 1 = dx x (1-√x)²

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Q: Find the sum by adding each term together. Use the summation capabilities of a graphing utility to…

A: We have to find the sum  ∑j=16 8j + 5.

Q: 9. Method of undetermined coefficients y" -y = 3et ○ y = c₁e³ + c₂e²¹ + 1/{xe* -X y = ₁² + c₂e²x +…

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Q: sec¹ (3x) b) ›1$ 3 tan³ (3x) dx

A: I have stated the used formulas in the solution

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Q: Solve the differential equation (1 + y² + xy²) dx + (x²y + y + 2xy) dy = 0

A: Solve the exact differential equation  1+y2+xy2dx+x2y+y+2xydy=0

Q: Let r(t) = (-5t¹-2, - 5e³t, 2 sin(3t)) Find the unit tangent vector T (t) at the point t = 0. Round…

A: This question is related to differentiation, We will solve it using given information.

Q: Exercises: Use the theorems on limits to evaluate each of the following, if it exists. 1. lim (2x³…

A: See this solution in below.

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Q: 4. Which of the following functions grows at the same rate as 3^ as x g O 2x O√√3x +4 3* O √6x 0x +…

A: To compare the rate of growth between the given functions lets draw their graphs. Given function 3x,…

Q: 19. Suppose the rate of change of production of a regular worker at a factory is given by dp…

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Q: 5₂00⁰ dx 2 3 1.

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Q: ✓ ["1 [™ f(a)da - [* f(x)dx = - Sª f(x)dx and b where a = If what are the bounds of integration for…

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Q: JENCES AND SERIES: onvergent or divergent and, if convergen 23 an 20 ,n=1,2,3,...

A: The answer is given below:

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Q: Write a limit using summations that would equal n Answer: lim Σ N→∞ k=1 1 2 [ (²-5) dz. Submit A

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Q: 60° IIPII=23 Q Find the EXACT components of the vector above using the angle shown. P Check Answer…

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Q: e) 9x³ + 6x² + 18x + 12

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Q: 2. Given the vectors à = (a₁, a₂, a3) and b=(b₁,b₂, b3) show that a × b = -b xã.

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Q: Write a limit using summations that would equal So 0 tan (2x) dx.

A: The integral is given by ∫01tan2xdx To evaluate: The limit using summation that is equal to the…