Evaluate the improper integral or state that it is divergent. 20x 64+x² ㅇ둡 01 On+8

Q: 19. ſ² z² In z dz 0

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Q: Assume C is a circle centered at the origin, oriented counterclockwise, that encloses disk R in the…

A: Given :F=<3y, -5x>

Q: Use linear approximation, i.e. the tangent line, to approximate 8.2 as follows: Let f(x) = x. The…

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Q: 34. Radioactive Decay The half-life of a certain radioactive substance is 65 days. There are 3.5 g…

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Q: Consider the function f(x) = 4x² - 4x4. (a) Find all critical numbers c of f. C = (b) f is concave…

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Q: The Sumeru Akademiya wants to manufacture Canned Knowledge in literal cylindrical cans that could…

A: Solution: a. The cost of production C can be modeled as: C(r,h)=2πr2(0.02)+2πrh(0.01) Where the…

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point…

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Q: Consider the graph of 3x³ + 5y = 18. (a) Find the exact coordinates of the x-intercept. ( ) (b) Find…

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Q: Find [5 50e0.03x dx

A: I=∫50e0.03xdx∫eaxdx=eaxa+c

Q: Find the limit by rewriting the fraction first. xy-y-3x +3 X-1 lim (x,y) →(1,5) x #1 lim (x,y)…

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Q: For the following vector field, compute (a) the circulation on and (b) the outward flux across the…

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Q: xy² Find 22414A, SS dA, R= [0, 1] × [-2,2] X +1 R

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Q: 12. fx²e-x dx 13. fx√x² - 4 dx 14. cos √t dt

A: The given integrals are;  13) x sqrt(x2-4) 14) cos[sqrt(t)].

Q: J x √16x² zdx

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Q: 12. X S (12t² – 8t) dt

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Q: If f(2)=3, f'(2)=1, g(x)=1/x, and h(x)=[f(x)] [g(x)], then what is h'(2)?

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Q: Find √√√₁² S of a solid 5x d.A over the region R = {(x, y) | 0 ≤ x ≤ 3,0 ≤ y ≤ 6} by identifying it…

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Q: Suppose f(x) = (x − 3)(x − 7)³ + 7. Find the absolute extrema of f on each of the following…

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Q: 1) x² 1-x² dx

A: (1) given integration is = ∫x21-x2dxlets  substitute   x = sint       ⇒dx = cost dt then integration…

Q: 26. Initial height = 5, limit to growth = 30, passing through (3, 15).

A: Given:- initial height =5, limit of growth=30,passing through 3,15

Q: Find the minimum cost of a rectangular box of volume 190 cm³ whose top and bottom cost 4 cents per…

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Q: Give the derivative formula for the function. g(x) = 6x2/3 − x−1/3

A: To find the derivative

Q: 41. Calculate 3 f(x) dx, where -2 f(x) = { 12-x² for x ≤ 2 for x > 2 +3

A: Integration

Q: Let P(x)= 2x3-5x2-4x+3.  a) List all possible rational zeros of P.  b) Find the complete…

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Q: (b) x = y³ Make a table of values, and sketch the graph of the equation. y O -5 5 y-intercept (x, y)…

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Q: Let f be a differentiable function. We are given the following values of f and f': xƒ(x) ƒ'(x) 6 2…

A: g(x)=f(x2)h(x)=f∘f(x)k(x)=-4(f(x))3-2(f(x))2  d dx(xn)=nxn-1

Q: Given t(x) = 2x² - x. a. Find the point of tangency to the curve at x = 3 b. Use the definition of…

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Q: Find the point on the curve y = √7x + 5 which is closest to the point (11,0). First find a function…

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Q: The rate of change in value V'(t) of a commodities index per day is given by the following equation…

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Q: Question 5 of 5 Solve the compound ineq -4x<=-28

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Q: Consider the following function: Answer Step 2 of 4: Determine where the function is increasing and…

A: Given function:- fx=12x4+2x+12

Q: Suppose f(x) = x³ − 6x² − 63x + 10. Find the absolute extrema of f on each of the following…

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Q: Consider the function f(x) = 4x² - 4x4.

A: Given, f(x)=4x2-4x4

Q: Consider the following series. n = 1 Use the Limit Comparison Test to complete the limit. n 1 1 n° +…

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Q: 5) x² √2x - x² S√zi

A: ∫x22x-x2dx since you have posted multiple question i can answer first question as per our company…

Q: The circumference of a sphere was measured to be 78 cm with a possible error of 0.5 cm. Use linear…

A: Solution: C = 2πr &amp; SA = 4πr2 = C2/π. i.e. surface area as a function of the circumference is…

Q: S dx 2√x+3+3

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Q: A few weeks into the deadly SARS (severe acute respiratory syndrome) epidemic in 2003, the number of…

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Q: Question 5 Find the volume of the body enclosed by a sphere x² + y² + z² = 4 and a cylinder x² + y²…

A: Find the volume?

Q: 2. Mr. Wilson, Ms. Gallert, and Ms. Stenhouse have a combined total of 44 years of teaching…

A: according to guide line we do only first part of multiple questions (2)  total =44 years let s…

Q: How much work is done lifting a 10 pound object from the ground to the top of a 25 foot building if…

A: Given :   Cable weight used 1.5 pounds per foot

Q: The slope of the tangent line to the parabola y = 3x² + 2x + 5 at the point (1, 10) is: The equation…

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Q: 7) Use the method of Undetermined Coefficients to solve y) +2y"+y = 3 sint - 5 cost. You can use…

A: Please see the below picture for detailed solution.

Q: Find and classify all critical points of f (x, y) = ax^n + by^n where ab cannot equal 0 and n ≥ 2

A: Given function is f(x,y)=axn+byn,  a,b≠0 and n≥2

Q: Question 4 For the integral: Write the integral again as: 0 0 x+2y+1 --LIT- V = -1 -(x+1) ? ? ? v =…

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Q: Find the horizontal and vertical intercepts for + s² - rs = 16, if the r-axis is the horizontal axis…

A: To solve the following problem

Q: Evaluate the integral by making a u-substitution and then integrating by parts. ENOTE: Enter the…

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Q: a. Set up an integral for finding the Laplace transform of the following function: f(t) = = [0, t +…

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Q: 8. Practice similar Help me with this Calculate the integral, if it converges. If it diverges, enter…

A: The given integral is 1/(x2+9), limit 1 to infinity.