If g(s) = * · 86 0 g'(s) = √5 + x7 dx, compute g'(s).

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A: Here

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Q: Find the limit of the sequence as n approaches infinity: 5n 3 5n+ 5 an - -

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Q: 5. If A = (611). 0 then eª = e e (8 €) e

A: A=

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Q: dr Evaluate the integral: 2² (A) Which trig substitution is correct for this integral? Or=2 sin(0)…

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Q: The system of first order differential equations y₁ = 5y₁ + 1y2 y2 = −4y₁ + 1y2 where y₁ (0) = 4, y2…

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Q: This problem tests calculating new functions from old ones: From the table below calculate the…

A: The function values  are given in the table.The aim is to find the values of .

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Q: per 59. Mixing Nuts A store sells cashews for peanuts for $1.50 per pound. The manager decides to…

A: Cashews cost =$5 per pondpeanut cost=$ 1.50 per poundmixture cost=$ 3 per pound

Q: 6. A particle moving with the velocity function v(t) = t²-3t+2,0 ≤ t ≤ 4. Find (i) the net distance…

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Q: T Find the equation of the tangent to the curve = cos³x - sin²x at the point where x =

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Q: a) Prove the following: If f(x) is an integrable function with antiderivative F(x), and a, b are…

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Q: (11,20) (11,20) Show that (40) fdx+ gdy = f(4,1) 24x²y³dx + 40y^³dy is independent of path: J(4,10)…

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Q: ellipse: ² + ² = 1 4 Given the ellipse: (a) Find the coordinates of the center of the ellipse (a)…

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Q: Evaluate the following definite integral. π JU OA. (( sin 8t)i + (cos 8t)j + (10t)k) dt Select the…

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Q: Consider the function f(x)=x/x^2+12x+32. Determine the intervals on which f is increasing and…

A: We have to determine the intervals at which the function  is increasing or decreasing.

Q: Find the sum of the series: n=0 (-1)"49"+2 n!

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Q: Find the points on the graph of the polar equation where the tangent line is horizontal or vertical.…

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Q: Evaluate the following limits algebraically. 2. lim x---> 2^-      (x+4) / (x^2 + 2x - 8) 4. lim…

A: To evaluate the following limits.

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A: Given that, the function is .We need to find the value of x for which the given function has a…

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Q: Solve the following Initial Value Problem. dy dt - y= sec² (t) + 3 sin(t), y() = 1

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Q: Evaluate the following indefinite integral. 19 / (22+4) de dx Note: Don't forget your C! And be sure…

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Q: When a bactericide is added to a nutrient broth in which bacteria are growing, the bacterium…

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Q: Evaluate the following limits; lim_ x→0 (e^x + e^-x - 2)/(1 - cosx)

A: To find:-

Q: Let f(t) be the function 2t² + 1t+5. Follow the steps below to use the formal definition of the…

A: Let  be the function .By using the formal definition of the derivative .

Q: Find the cost function for the marginal cost function. C'(x) = 0.07e0.05x; fixed cost is $7 C(x) =

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Q: Find the area of the shaded region. r = 4 + 3 sin(0) -5 y 5 -5 5 -X i

A: The region is bounded by the curve The given graph of the region

Q: 12T 4. Evaluate in Cylindrical Coordinates D bounded by z= x² + y² and the plane z = 4 ff zdxdydz

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Q: Find parametric equations for the following curve. Include an interval for the parameter. The left…

A: We have to use the concept of parametric equation

Q: Evaluate S 2x + 1 (4x + 3)(x + 1) - dx

A: Consider the integral

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Q: 4. Find the derivative of the following functions: a. y = x² sin x b. y = ex cos x 3 c. y = (x² + 1)…

A: *Note – As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly…

Q: dy Write the function in the form y=f(u) and u = g(x). Then find dx y = 9 8x 5 U= (Type an…

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Q: Let g(2) = 42³ +7z7 Determine the most general indefinite integral of g. | (42³ + 7z") dz =

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Q: Betty's Bathtub company produces two types of tubs: the Jazzy Jets model and the Double Dip model.…

A: We have to find the price of Jazzy Jets model and Double Dip model.

Q: y=√x, 0 ≤x≤ 81

A: Given that the expression

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Q: Evaluate the integral. 3 f(x) dx where f(x) =26-x² if -4 ≤ x ≤ 0 if 0 < x≤ 3

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Q: An equation of the ellipse is

A: Given that the graph of the ellipsewe have to find equation of the ellipse

Q: i. x+1 lim X→∞ X-1

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: The total revenue for a product can be calculated as the area under the demand curve. Suppose that…

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