= Find fæ, fy, fxx, fyy, fay for the function f 5 x³ siny+8 y² cosx+3x+7y.

Q: Use the Ratio Test to determine the convergence or divergence of the series. Step 1 Step 2 6 Recall…

A: By using the Ratio Test to determine the convergence or divergence of the following series.

Q: A circle has an initial radius of 50 ft when the radius begins decreasing at the rate of 5 ​ft/min.…

A: A circle has an initial radius of 50 ftThe radius begins decreasing at the rate of 5 ​ft/min

Q: Let f(x) [0, 2π). = To enter , type Pi (with a capital P) sin x. Determine the x-value(s) where the…

A: The given function .The aim is to find the value of  in the interval  for which the function has…

Q: Find the future value P of the amount Po= $200,000 invested for time period t = 9 years at interest…

A: To find the future value P of the amount invested for time period years at interest rate…

Q: Find f. f(0) = f "(0) = sin(0) + cos(0), f(0) = 1, f(0) = 1, f'(0) = 3

A: Given that the expression

Q: 9-30. Finding area Determine the area of the shaded region in the fol- lowing figures. 10.

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Q: Use natural logarithms to solve the equation. -0.417t = 6 The solution is t = 0 (Simplify your…

A: Consider the equation

Q: Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints…

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Q: Estimate the average value of f(x) from x = a to x = b. 28 21 f(x)

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Q: Find the slope of the tangent to the curve - 4 sin³2x at x = E|O

A: The given curve is .The aim is to find the slope of the tangent line.Derivative formulas used:

Q: Find the Maclaurin series of the function f(x) = (4x²)e-³x ∞ (f(x) = Σ cnan) n=0 C1 C3 C4 C5

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Q: Evaluate the integral by interpreting it in terms areas. L(7x-14) de Part 1 of 3 We are concerned…

A: The given integral is The function

Q: 3 We want to sketch the function f(x) = 2 + Note that f'(z) = State the domain of f(z). Domain:…

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

Q: Using the graph below, sketch the graph of the function y = - f(x). -6 6 6

A: We have given the graph of f(x).The graph of the function y=-f(x) is the mirror image of the graph…

Q: Use the information given below to find sin(a-B). tan a = with a in quadrant 1 12 5' sinB =15, with…

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Q: Use the Alternating Series Remainder Theorem to determine the smallest number of terms required to…

A: The objective of this question is to find the smallest number of terms required to approximate the…

Q: dy dx = 2 2 Cosy

A: Given that expression we have to find general solution

Q: Solve the following integration :- S. X-3 2 X²³² x ² −X +1 dx

A: To solve the following integration.

Q: An angler hooks a trout and reels in his line at 5 in./s. Assume the tip of the fishing rod is 11 ft…

A: We are to find the change in horizontal distance of the fish from the angler. When it is 17 ft away…

Q: Determine a region whose area is equal to the given limit. Do not evaluate the limit. in lim Σ 318…

A: To determine a region whose area is equal to to the given limit. To do not evaluate the limit.

Q: Find a power series representation for the function. (Give your power series representation centered…

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Q: Evaluate the integral. 1/2 12/23 dx 5/ 16x2 - 1 V2/4x5

A: To evaluate the following integral.

Q: Compute the electric charge on the surface which is the portion of the cone z = √√3x² + 3y2 in the…

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Q: Find the general Solution For D-E x dy dx +y = !

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Q: a. Find the linear approximating polynomial for the following function centered at the given point…

A: The given function is The linear approximation at  is The quadratic approximation at  is

Q: dx Assume that x = x(t) and y = y(t). Let y = x + 2 and dt dy Find when x = 3. dt dy dt (Simplify…

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Q: (2) Let f(x, y, z) = x²y + y²z. Find the directional derivative of f at the point (1,2,3) in the…

A: The given function is To find :- The directional derivative of f at a point  in the direction

Q: Each of the regions A, B, and C bounded by the graph off and the x-axis has area 3. Find the value…

A: Each of the regions A, B, and C bounded by the graph of and the x-axis has area 3.To find the value…

Q: There is at least one polynomial function which satisfies the conditions below. F(8)= 56; F'(x) is…

A: we have and F'(x) is non zerofind F(x)?

Q: 2. Consider the following three points (a) (b) ( (c) P= (1, -3,1), Q = (2, 1,0), R= (1,0,1) Find the…

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Q: ¡¡¡ ³² 2 cos (x²) 0 0 4у Evaluate the integral 2 cos (x²) 00 4y 5√√Z (Type an exact answer.) -dx dy…

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Q: feet per second Preview c. From t = 1.11 tot 11.11 seconds... = feet per second Preview

A: Given that the formula d=9t-10 expresses a car's distancewe have to find the average speed of the…

Q: f(x) = 2 +7 cos(x), 0 ≤ x ≤ 2π

A: The given function is

Q: TT/8 cos 2x dx

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Q: A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the…

A: Let the diameter of semicircle be x feetThen radius of semicircle be  feet

Q: Reverse the order of integration and then evaluate [ [ 5y dy dx.

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: x=t7+1,y=t8+t;t=−1x(−1)=−1+1=0y(−1)=1−1=0(x0,y0)=(0,0)Using the power Ruleddxxn=nxn−1

Q: 1 Evalvate the following integrals (use method of integration by parts): 2 (₁) S (sinth) ² dre

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Q: Consider a system of 3 equations with 3 unknowns. If the augmented matrix has been correctly reduced…

A: Here we have to general results for finding the solution

Q: A company manufactures and sells x television sets per month. The monthly cost and price-demand…

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Q: Without eliminating the parameter, find 1 2-80-2 -t⁹. = = 9 d²y dx² at t = 2

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Q: Convert the following equation to Cartesian coordinates. Describe the resulting curve. r=2 cos 0+ 2…

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Q: Evaluate the integral fx² cos(4- x³) dx sin(4 — x³)+C O -sin

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Q: Find the slope of the curve at the given point. 5y5+3x3 = 2y + 6x at (1,1)

A: We have given an implicit function5y5+3x3=2y+6x

Q: Find the radius of convergence, R, of the series. √n R = 00 I = n = 1 6″ _(x + 4)" Find the…

A: The given series is sqrt(n)(x+4)n

Q: 4. Consider z = ²-y tan(x); x = s/t, y = s²t², use appropriate chain rule to find Əz/at.

A: Consider , by using appropriate chain rule to find ..

Q: Let z = 9.8 - 5i. Write z in the form a + b*i: Z = 9.8+5*i Let u = 5 - 2i and v= - 8 + 6i. Write u +…

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Q: Tutorial Exercise Consider the given function. f(x)=4- Evaluate the Riemann sum for 2 S x S 14, with…

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Q: Write an integral in the form A region. Answers must be exact. As a suggestion, graph the equations…

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Q: Find the general Solution For D. E x² dy + x(x+2) Y = ex dx

A: