Use the Ratio Test to determine whether onvergent conditionally, or divergent. n=1 (−77)” n! is convergent

Q: Given the parabola: x = 3(y + 5)² - 4.

A: x=3(y+5)2−4We are comparing the equation withx=a(y−k)2+h

Q: A recipe calls for 330 ml of white wine.  How many cups would you need to use? 33.8 ounces= 1 liter=…

A: A recipe calls for 330 ml of white wine. How many cups would you need to use? 33.8 ounces= 1 liter=…

Q: 3. Three functions are shown: f(x) = (x + 2)² - 2, g(x), and h(x). Determine an equation for g(x)…

A: The graph of the function  and the graph are given.The aim is to find the equation of the functions…

Q: Solve the rational equation. YOU MUST SHOW ALL OF YOUR WORK!

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Q: (a) Find the initial population. (Round your answer to the nearest whole number.) X bacteria (b)…

A: The number of bacteria in a culture is increasing according to the law of exponential growth. There…

Q: Recall that if F(x) is an antiderivative of f(x), then so is any function of the form F(x) + C,…

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Q: Find the work done by the force F = -2yi + 4xj along one loop of the curve r direction). = sin 80…

A: The given force  along one loop of the curve

Q: Find the inverse laplace of the following: s+1 3. L¹ { S² + 4s +6 4. [¹ e-38 е a Ans. F(1) =…

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Q: Use the First Derivative Test to find the location of all local extrema for the function given…

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Q: Evaluate u³(²-1)² du in terms of u by expanding the integrand. [/u³(²-1)² du = -/( 11 + C 1) du

A: To evaluate  in terms of  by expanding the integrand.

Q: Let f (x) = log2(x) + 2 and g(x) = log2(x3) – 6. Part A: If h(x) = f (x) + g(x), solve for h(x) in…

A: This is Question of calculus.Here logerithmic equation function is given.We have to summation of…

Q: x^1/3(x+3)^2/3 find critical points, increasing and decreasing, inflection points, local minimum and…

A: f(x)=

Q: Consider the following expressions (a) (b) div(gradf) (c) grad(div f) div(curl(gradƒ)

A: we need to classify the given expression.

Q: f(x) = ln(1+x¹)

A: f(x)=ln⁡(1+x4)We know that11+x=∑n=0∞(−1)nxn

Q: You are given the following pieces of information: 43 f (x) dx = -39, What is the value of 27 ² f…

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Q: Which represents the correct difference quotient for the function f(x)=4x²-3x+2? A B C D f(x+h)-f(x)…

A: Here we have given a function :

Q: Find the Taylor polynomials of orders 0, 1, 2, and 3 generated by f at a. f(x) = 2 In (x), a = 1

A: A Taylor series is given by f(x)=∑k=0∞f(k)(a)k!(x−a)k

Q: Express the limit as an integral. S 4 lim (7(x)² - 2(x ) ³)Ax over [0, 4] n→ ∞ i = 1 2 3 7x²-x³ x)…

A: An integral of a function f(x) in the interval [a,b] represents the area between f(x) and…

Q: Find the x-coordinate of the point on curve y=In(2x²-11x) where the tangent line is horizontal. Just…

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Q: Find the angle 8 between the vectors in radians and in degrees. u = cos · cos(™)i + sin(π)j, v =…

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Q: 4. Here is a graph representing a function of the form f(x) = a b*. Find the values of a and b. Show…

A: The exponential function is

Q: 4. In this question we will consider the transformation given by the formulas and y = u-v. (a) What…

A: Changing of the independent variable.

Q: a) The rectangles in the graph below illustrate a The value of this Riemann sum is left endpoint…

A: given function f(x)=

Q: A swimming pool has a depth of 5 ft at the shallow end and 10 ft at the deep end. The bottom of the…

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Q: √√5 3

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Q: Find the intervals of increasing and decreasing  for y= (sinx)/(2+cosx)

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Q: Use Newton's method to estimate the two zeros of the function f(x)=x-x-2. Start with x= -1 for the…

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Q: 1. y'(t) − y(t) = 1, Ans. y(t) = e' - 1 y(0) = 0

A: given IVP

Q: View Policies Current Attempt in Progress Find the area enclosed by y = 5x and y = x². Round your…

A: This is question of calculusHere we have to find area using integration Further calculation is given…

Q: Solve for x: 3e³-5 = 4 Just enter the number and give a decimal (rounded) answer to 4 places.

A: To solve for .

Q: Graph the function: f(x)=(x-3)² 4-X if x4

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Q: Given the function f'(x) = −x³ – 6x² + 72x, determine all intervals on which f is decreasing.

A: If f'(x)> 0 in an interval I then f(x) is increasing on interval I.If f'(x)<0 in an interval I…

Q: Find the orthogonal trajectories of the family of curves y² = kx³

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Q: -2 -1 2 1 Undefined Derivative y=h(x) 2 Identify all values of c for which h'(c) does not exist. اهد…

A: The graph is given as,

Q: The world population is approximately seven billion and still rapidly growing. How would the…

A: The graph shows the relation between year and the population in millions.Let the graph be…

Q: Find the first three nonzero terms of the Maclaurin series for the function. 2 (1²x) f(x) = - cosx-

A: f(x)=−cos⁡x−(21−x)A Maclaurin series is given by f(x)=∑k=0∞f(k)(a)k!xk

Q: Consider the following vector field. F(x, y, z) = 3yz lnxi + (9x− 5yz)j + xy³z³ k (a) Find the curl…

A: given vector field

Q: i. ผ 8 n=1 (-3)" (2n+1)!

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Q: Evaluate the integral: - 20 √2²√2² + 64 x²₁ dx (A) Which trig substitution is correct for this…

A: To evaluate the following integral.

Q: for f(x) Verify that the hypotheses of the Mean-Value Theorem are satisfied √49 – x² on the interval…

A: we have given that

Q: Use power series operations to find the Taylor series at x = 0 for the following function. cos²x…

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Q: Use upper and lower sums to approximate the area of the region using the given number of subinterval…

A: finding the area using upper sum and lower sum.

Q: 5nti sign Σ 5² = 25 25 = 25 2+1 5° 3 2. Use the Ratio Test or the Root Test to determine if the…

A: Note:-Since you asked multiple subparts,according to our policy we can solve only first three…

Q: Suppose that in a memory experiment the rate of memorizing is given by M'(t) = -0.004t² +0.2t, where…

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Q: Using the following solve the following conversion:  16 liters = how many quarts? 1 liter = 1000ml…

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Q: #1.) cotxdx √9-in sinx ત્ર

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Q: 7-year period from 2004 to 2011. D 5

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Q: F(x, y, z) = (2xz + y²) i + 2xy j + (x² + 6z²) k C: x = t²2, y = t + 2, z = 2t - 1, 0≤t≤1 (a) Find a…

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Q: Use Euler's Method to make a table of values for the approximate solution of the differential…

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Q: 2) Sketch the appropriate region and find the exact area between the curves y y = and y=0, x=1, x=9

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