Use the root test to determine whether the series 2n 4n + 9 converges or diverges. 9n + 2 n=1 Since lim = which is choose ✓, the series choose 8个 by the root test.

Q: If f(x) = sinx and g(x) = cosx, then what is the relation between g'(x) and f""(x)?

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Q: Use AXYZ, as needed, to complete the given parts. Part 1: Z 15 cm Part 2: Part 3: Part 4: Y 7 cm X h…

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Q: Find the partial derivatives f(x,y)=e* sin(xy) of dx

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Q: Is partial fraction decomposition always possible? If YES, Explain If NO, Explain

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Q: Draw the graphs of the given functions. Find their points of intersection. Find the area bounded by…

A: Given

Q: 7. Determine each of the following for the function, f(x, y) = 7x³y² - 2x + 3y. Show all ^~^ints.…

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Q: The equation of motion is given for a particle, where s is in meters and is in seconds Find the…

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Q: Find the laplace transform of f(t) = 21² +41 - 5 F (s) = F(s) = O O -5s² + 4s + 4 53 -555 +454 45³ -…

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Q: the base of a three-dimensional figure is bound by the circle x² + y2 = 4. Vertical cross sections…

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Q: 5) 5) g(x, y) = x²y + cos(y) + y sin(x) r(x, y) = ln(x + y)

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Q: 21. Find 1² [f(x) + 28(x)] dx if [²₁ f(x) dx = 5_ and ₁8(1) g(x) dx = -3

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Q: Find an equation in rectangular coordinates for the surface represented by the spherical equation. 프…

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Q: f(x) = 2√3 x, g(x) = 2x − 4, y h(x) = 3x3. Encuentra el valor de cada expresio ́n. (a) (f ◦ g)(7),…

A: Given query is to find the value of the indicated function.

Q: A golfer hits an errant tee shot that lands in the rough. A marker in the center of the fairway is…

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Q: Find the present value of a $30, 000 annual income stream if it is invested immediately as it is…

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Q: Find each limit, if it exists. 6-7x (a) lim (b) (c) 000 11 x-∞ 6x³ 6-7x lim x- 6x-2 6-7x² lim x-00…

A: Part a,Given,            limx→∞6-7x6x3-2

Q: the distance from the point (5,3) to the line 2x+4y+5=0 is

A: solution

Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x) dx.

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Q: 2. Find a power series solution of the differential equation y' = 4y

A: To find a power series solution of the following differential equation.y'=4y

Q: Consider à = (2,1,k), and b = (k,-8,k). Find the value of k such that å and bare perpendicular.

A: We can find the values of k as below.

Q: y = 5x6 − 6x² + x +4

A: Follow the procedure given below.

Q: b) f4 sec 0 tan 0 do

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Q: Approximate the local minimum value of the function given below. Use Newton's method with the…

A: Here we have to find the root by newtons method.

Q: A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 600 yd…

A: A rectangular swimming area in front of Long Lake Beach, using 600 yd of rope and floats.

Q: b. √ ( 3 √ √x + ²) a dx

A: The given integral,      ∫3x+1xdx

Q: Define a weakly quasi-concave on a Cobb-Douglas Function

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Q: 6. Determine the x-value of the absolute minimum of f(x) = -2x4 + 4x³ - 1 on the closed interval…

A: Given:       fx=-2x4+4x3-1     f'x=ddx-2x4+4x3-1    f'x=-8x3+12x2

Q: 6. Using a double integral, find the area that is inside the region bounded by r = 3+2 sin and r =…

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Q: Find the limit. NOTE: Enter the answer using round brackets. t² +3 1 = lim t+ (?, ?) 8t2 +9'2t

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Q: Given the vectors à, b and è in 3dD. Identify which of the following operation is possible or not…

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Q: The cost of controlling emissions at a firm rises rapidly as the amount of emissions reduced…

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Q: Use a graphing utility to construct a table of values for the function. (Round your answers to three…

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Q: The series ∞ (-10) k k! k=1 is an alternating series but we can apply the ratio test to ∞ (-10) k k!…

A: We have to check convergence of series with the help of ratio test.

Q: Consider the function f(x) = cos(x) - Give the following: A = B = f" (A) = f" (B) = Thus f(x) has a…

A: The given function is  f(x)=cos(x)-sqrt(3)x/2.

Q: Evaluate the limit A. ƒ(x) = 5x + 2 at x = 3 x²-9 B. f(x) at x = 3 x-3

A: A. f(x)=5x+2B. f(x)=x2-9x-3

Q: Find the derivatives of the following function (a) y=4²+2 2x+3 2³+2+1

A: The solution is as follows:

Q: Describe the graph of the equation. r = 5 cos ti - 8 sin tj+ k O An ellipse in the plane z = 1,…

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Q: erify the following identities: (Warning: Two-Column Proof will NOT be accepted) sin + cos 0 cot 0 =…

A: Solve as general

Q: дz State the multi-variable chain rule for du z=z(t, s), t=t(u, v, w), s=s(u, v, w) if

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Q: 3. What is the FIRST derivative of the given function? y = 3x³ - 2x² + x - √√2

A: Given,            y=3x3-2x2+x-2To find : What is the first derivative of the given function.

Q: 17. Applying the quotient rule, what is the correct FIRST STEP in finding the derivative of the…

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Q: Find T(t) and N(t) at the given point. r(t) = (t²- 2)i + tj; t = 2 T(2) N(2) = =

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Q: 5. What is the derivative of the given function below? * x² + y² = xy dy dy dx dx Option, dy dx = =…

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Q: Consider a triangle ABC like the one below. Suppose that A= 116°, C=36°, and a = 19. (The figure is…

A: A triangle ABC has A=116°, C=36°, and a=19

Q: Q2: find dw/dt at given value point for the following function 1 V 2) w== + 2²,.x = cos²(t), y =…

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Q: أ 12, x > 1 (b) ) 5 f(x) dx

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Q: Find the​ producers' surplus at a price level of p=​$70 for the​ price-supply equation below.…

A: Given problem:- Find the​ producers' surplus at a price level of p=​$70 for the​ price-supply…

Q: Given the expression below, set up (DO NOT SOLVE) the partial fraction decomposition. (Use A, B, C,…

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Q: So whats the answer

A: The question asked for the function f or ft. The last line was the answer.

Q: Je-2x sin 2x dx

A: