antl to determine if the sequence ne"} is strictly increasing or strictly decreasing. an Use the ratio The sequence is strictly

Q: The solution to the differential equation (5x² – 3)dy + xy°dx = 0 %3D is: Select one: 10 ソ=ー In(5x² ...

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Q: B) Graph the trigonometric function (y = 6 cot x) and find the domain and range and period %3D of it...

A: We will graph the trigonometric function. 

Q: lim Example 21. x → 0 Jx + a - Va: |

A: see below the answer and calculation

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A: Given query is to find the limit after applying the substitution.

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Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of int...

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Q: For the parametric curve x = t^2 + 2t + 1, y = 6t + 1, find the Cartesian equation(s) for all tangen...

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask th...

Q: Question Q is the region bounded by the graph of v(y) = 6y , x = 2, and y = 0. Find the volume of th...

A: Suppose that y=f(x) is a continuous non-negative function on the interval a,b.The Volume of the soli...

Q: Write the improper integral as a limit of definite integrals, or as a sum of limits of definite inte...

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Q: From the top of a cliff 426 feet high, the angle of depression of a ship is observed to be 18. How f...

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Q: The Plahe y-2 ihtersects He elliftic Parab olaid Z= 4x+9 in a Parabo b. Find the slofe of thetangcht...

A: Given:     y = 2      z = 4x2 + y2

Q: 50 Consider the sum: Si=1275. i-1 50 Find the sum: i = ? i-6

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Q: Replace the polar equation r= with an equivalent Cartesian equation. Then identify the graph. sin 0-...

A: r=7sinθ-3cosθ       ------1 x=rcosθ y=rsinθfrom 1 rsinθ-3rcosθ=7y-3x=7y=3x+7  

Q: Evaluate the indefinite integral. sec (0) tan (0) de

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Q: Let h (x) = x sin . 1. Find the x-values where h has horizontal tangent lines in the interval 0, 27....

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Q: I. Find the derivative of the following functions. 5. f(x) = 5* x5

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Q: Use the method of your choice to determine the probability below. Three rainy days in a row when the...

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Q: Assume that C(x) is in dollars and x is the number of units produced and sold. For the total-cost fu...

A: topic - functions and  derivatives

Q: Follow the steps to solve the initial value problem: 2ty – 2y = t5, y(1) = -1. a. Identify the integ...

A: Rewrite the differential equation into linear differential equation and then solve it.

Q: h(t) = h'(t) = Need Help? Read It Master It

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Q: Question dy Using implicit differentiation, find dx 3 cos (2x) sin (3y²) = 1 – 5x Provide your answe...

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Q: L{f(t)g(t)} = L{f(t)}L{g(t)}, where both f and g are continuous and of exponential order. True False

A: We have to find the reason

Q: (4-x² f (x, y, z) dy dz dx

A: Please see the below picture for detailed solution. 

Q: Evaluate the integral: f sin 7x cos 2x dx. A) sin 5x + sin 9x + c. 2 B) cos 5x +co cos 9x + c. 10 C)...

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Q: Question 1 For each of the following, determine whether the given SEQUENCE converges or diverges. If...

A: d) -1nen+2ne2n+ne) e2n+1en+2

Q: Find the solution to the differential equation y' = 2xy? which satisfies the initial condition y(2) ...

A: Given query is to find the solution of the differential equation.

Q: Find all critical points of the function f(x)=5x5-2r and use the First Derivative Test to find local...

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Q: Evaluate: dx. x-2 A) In 3 - In(-2). B) The integral diverges. C) In 3 - In 2. D) - In 3 + In 2. In 3...

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Q: Using Figure 1, complete the following function. (-8, - 6) Figure 2 csce = 5/3 5/4 -5/3 -5/4

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Q: Find the derivative of the function y = cot^-1 x2 – cos^-1 x + 1/x – 2 %3D

A: To find the derivative of: y=cot-1(2x)-cos-1x+1x-2...(1) Note that: ddx(cot-1x)=-1x2+1ddx(cos-1x)=-1...

Q: Show mathematically that MRS is increasing for U=1-ex +e2y and is diminishing for U=lnX +LnY

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Q: Using Figure 1, complete the following function. (-8, - 6) Figure 2 sine = %3D

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Q: A DJ is preparing a playlist of 17 songs. How many different ways can the DJ arrange the first six s...

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Q: se the ALEKS calculator to evaluate each expression. Round your answers to the nearest thousandth. D...

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Q: (e) y = (x³ + 1)² () y = (x² +5)³

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Q: Suppose a sample of a certain substance decayed to 67.6% of its original amount after 300 days. (Rou...

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Q: 4 Consider dx. Transforming the integrand, the result will be K -, where k is a constant. What is u ...

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Q: Calculate the work done by the force F(x, y) = x3yi+ (x - y)j along the parabola y= x2 from (-2, 4) ...

A: To find the workdone

Q: Some birds fly more slowly over water than over land. A bird flies at constant rate of 6 km/h over w...

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Q: The integral that represents the arc-length of the curve y = In x, xE [2,3] is: %3D 3 x2+1 dx. Vx2+1...

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Q: A ball is launched vertically upward with a velocity of 128 ft/s, so its position function can be mo...

A: Given that - A ball is launched vertically upward with a velocity of 128ft / s so its position funct...

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: cot 2x Evaluate the integral dx . V cor²(2x) – 15 csc (2x) A ·Arcsec 8 + C 4 -- In |cot (2x) + Vcot²...

A: The given integral is: ∫cot(2x)cot2(2x)-15dx Substitute cot2(2x)-15=t          ....(1) Fromm the tri...

Q: L{af(t) + bg(t)} = a£{f(t)} +bL{g(t)}, where a and b are constants and both f and g are continuous a...

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Q: cot 2x csc42xdr Evaluate: /2-3 cot?2x

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Q: If {an}1 is a convergent sequence, then {2a,}1 is also a convergent sequence. n=1 Select one: O True...

A: First is true and second is false. 

Q: A ladder 35 feet in length rests against a vertical wall. The foot of the ladder is 10 feet from the...

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Q: Find the derivative of the function. F(e) = (3t + 18)2/3 2 f '(e) = 3/ 31 + 18 Need Help? Read It

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Q: Consider the series. 8 8 + 3 8 8 + .. 34 32 33 This can be written as a geometric series in the form...

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Q: dx (c) x² /4 – x2

A: Please see the below picture for detailed solution.