า es of p is the series below divergent? rect answer below: n=1 (-1)+¹(In (4n+5))²

Q: Provide the complete sign analysis using a table to clearly indicate the behavior of the function…

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Q: A rectangular tank with a square base, an open top, and a volume of 27,436 ft³ is to be constructed…

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Q: Find fx(x,y) and fy (x,y). Then find fx (2, -1) and f,(-1,0). f(x,y) = -4 e 8x-3y x(x,y) =

A: Topic:- application of derivatives

Q: The figure shows the graph of a function. At x = 0 is the given function differentiable, and/ or…

A: Topic - Continuity and differentiability of a function for a function to be continuous at x=a,it…

Q: Find dz dt · at (x, y) = (−2, −1) for z² = x² + y² if de = dt = help (numbers) 10, dt 5, and x > 0.

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Q: ← The following table gives the monthly premiums for an insurance policy on people of various ages.…

A: The given data is: age monthly premium       35 127       40 164       45 242       50…

Q: Evaluate limx→-1+ f(x) if ƒ(x): = x +4 -x+ 1 x -1

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Q: dz ds A. Use the chain rule to find dz მყ dz Ot || dz Ot Suppose z = =x² sin y, x = = (-5,5) = and…

A: Please see the below picture for detailed solution.

Q: Evaluate the series or state that it diverges. Σ (3) 8 k=2 8 3k Select the correct choice below and,…

A: The given series is (3/8)3k, k from 2 to infinity. Repost the next question.

Q: what is the set of whole numbers, positive integers, negative rational numbers, and natural numbers?

A: To write: The set of whole numbers, positive integers, negative rational numbers, and natural…

Q: Given f(x, y) = ry - 6zy. Compute: 8²f dz² 8²f dy²

A: Topic = Derivative

Q: Find 7' (t), given r(t) = (- 4√t, - 3 ln(3t), 3e-³). F' (t) =

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Q: Find the first partial derivatives of x - y x+y f(x, y) = af -(1, 1) = д х of ду -(1, 1) = = at the…

A: Concept: Let's say we have a function f(x, y) that depends on the values of two independent…

Q: The Total Revenue is decreasing when the demand is elastic and the price is increased slightly. O…

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Q: Suppose that three parameters of a gas: Pressure P, volume V, and temperature T at all times t are…

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Q: conical tank with the point oriented down, a height of 20 feet, and a radius of 3 feet has sprung a…

A: Given query is to find rate of change of height.

Q: A particle moves along the x-axis so that its velocity at time 0 7 or (₂) Submit Answer U ∞ > [₂]…

A: slope of velocity vs time graph represent acceleration  and where  slope is positive indicate that…

Q: Answer the following Questions: 1. Evaluate the integral using partial fractions method: ²+1)…

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Q: Find the absolute extrema of f(x) = 2x07 on the interval [−4, -2]. f(x) = -4,2 (-4) f(x) = -2,2 (-2)…

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Q: A 9-ft ladder leans against the side of a house. How far is the bottom of the ladder from the side…

A: Consider  the figure

Q: If a rock is thrown vertically upward from the surface of Mars with velocity of 25 m/s, its height…

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Q: -4y5+4 dy +4 ]d-

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Q: Find the vector equation that represents the curve of intersection of the paraboloid z = surface y =…

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Q: Find fx and fy, and evaluate each at the given point. arctan(ỵ), (2,-2) f(x, y) fx(x, y) = fy(x, y)…

A: Given:        fx,y=arctanyx , 2,-2     fxx,y=∂∂xarctanyx                   =1yx2+1∂∂xyx taking y as…

Q: what points on the given curve  x = 4t3,   y = 5 + 60t − 8t2. does the tangent line have slope 1?…

A: Given query is to find the points where slope of tangent is 1.

Q: Find a formula for the general term a, of the sequence, assuming that the pattern of the first few…

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Q: 168x+7,-6 ≤ x ≤ 14. Consider the function f(x) = 2x³ 9x² The absolute minimum of f(x) (on the given…

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Q: Question 2 Find the oblique asymptote of the graph of y = Oy=x+1 y=x+4 Ⓒy=x-3 Oy=x-1 y=x x²+2 2-1

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Q: 3. The slope of a curve at the point (x, y) is given by 3x²y + 2y. Find the equation of this curve…

A: To find the equation of the curve with given slope

Q: 5 -5 x dx =

A: Topic = Integration

Q: ey = 25e4x-z+w 10z - w + 3x = -23 8y + 3w - x -z = 5 x+y-z + 4w = -10

A: The objective is to rearrange the  equations so that their associated matrix is ​​diagonally…

Q: 6. D(x) = (x − 8)², S(x) = x²

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Q: Find equations of the tangent plane and normal line to the surface z + 16 Tangent Plane: (make the…

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Q: Prove that the following differential equation: (1 + x2)y'' + 2xy' - 2y = 0 has the following…

A: To prove that y is solution of a differential equation then we just substitute the value of y' and…

Q: Olim f(x) = 3 x-2+ lim f(x)=0 -I--2 Olim f(x) = -2 →-3+ lim f(x)= does not exist →2 lim f(x)= does…

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Q: For the right triangle below, find the measure of the angle. Please show your answer to one decimal…

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Q: Find the point of inflection of the graph of the function. F(x)= x+9 cos x , [0,2pi] and describe…

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Q: Find the derivative of: 7 sin² (8x³). Hint: sin²(x) = [sin(x)]²...so use the chain rule (twice!).…

A: Given: fx=7sin28x8   As we know that; The Power law: ddxxn=nxn-1 Apply the Chain rule: fgx'=f'gx·g'x…

Q: Let f(x) = 4 sec (3x) f'(x) =

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Q: Find lim_h(x), if it exists. (If an answer does not exist, enter DNE.) (a) (b) (c) X-8 f(x) = 9x² +…

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Q: Determine the area of the region bounded by two the curves f(x) = x² – 22x + 48 and g(x) = 11x + 24.

A: Topic = Area

Q: Also

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Q: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) 6 1 -…

A: Let's convert given polar equation to rectangular coordinates.

Q: Glorious Gadgets is a retailer of astronomy equipment. They purchase equipment from a supplier and…

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Q: Find the absolute maximum and absolute minimum of the function f(x) = 2 sin (x) cos (x) over the…

A: Please see the below picture for detailed solution.

Q: If $14,000 is invested and interest is compounded quarterly, determine the amount of the investment…

A: A=P1+rnnt ⇒A=Amount at time t⇒P=initial amount ⇒r=rate of interest ⇒t=time in yearsn=compounded…

Q: 2x² + 4 over the interval [-2, 1]. Enter an exact answer. If there is more than one value of x in…

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Q: In each of Exercises 1-14, D(x) is the price, in dollars per unit, that consumers are willing to pay…

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Q: Compute the derivative of the given function. sin ¹(³+4) O O O d dx d dx d dx [sin ¹(x³ + 4)] = [sin…

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Q: Let y=f(x), fis increasing and differentiable and Δα>0. Select all that apply. Select 2 correct…

A: Here we have given a functiony=f(x). And the function f is increasing and differentiable△x>0.…