20. Find the foci of the ellipse whose equation is given below. (x+1)² (y+3)² 36 16 -1

Q: find the second parametric derivative of the equation and locate its critical point x(t)= t²-4t,…

A: Given that:   x(t)= t2 - 4t and y(t)= 2t3 - 6t. We find second perametric derivative of this given…

Q: Use integration by parts to find the integral. (Use C for the constant of integration.)…

A:

Q: Consider the following. f(x) x³ + 9, g(x) = √√√x X (a) Find the function (fog)(x). x + 9 (fog)(x) =…

A:

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)…

A: We need to find the Taylor series of the given functions using the definition of Taylor series.

Q: Determine whether the series converges or diverges. 8 n=1 converges Odiverges 1 + sin(n) en

A: We need to determine convergence.

Q: a. A rectangular pen is built with one side against a barn. If 200 m of fencing are used for the…

A: NOTE: Refresh your page if you can't see any equations. . the answers for the first part are already…

Q: Question Given the point (6, form. 70 in polar coordinates, find the rectangular coordinates of the…

A:

Q: tan(t)+cot(t) 2. Show that csc(2t) = 2

A:

Q: Find the area under the given curve over the indicated interval. 28) y = 7; [2, 9] 9+y 8+ 7+ 6+ 5+…

A: We have to find area of the given curve y=7 on the interval 2, 9. There will be two methods to find…

Q: Integrate the following derived functions:

A: This question can be solved using the concept of integration by substitution.

Q: 25. Show whether the following function is continuous et x = 0. 4x-9if x>-3 3x+6 if xs-3 f(x)=

A:

Q: Write an equation for the following conic section A parabola with focus at (-3,2), directrix x = 1

A:

Q: Example 1: For f(x) points that are guaranteed = 3x² + 2x + 5 on [-1, 1], determine whether MVT…

A:

Q: a B What is the value of sin(a)? с b Description of image (in case it has trouble loading): A right…

A:

Q: Use polar coordinates to calculate s D √x2 + y2dA where D is the region in the first quadrant…

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Q: ƒ(x) = 3x - 5 4x+1

A:

Q: Such that R : N → N a relationship defined by: R = {(n,m) / n + 3m = 12; n,m ∈ N Ʌ m<=3} a) Express…

A: Let's solve.

Q: A 13-foot ladder is leaning against a vertical wall (see figure) when Jack begins pulling the foot…

A:

Q: Speedometer readings for a vehicle (in motion) at 14-second intervals are given in the table. t…

A: we need to find the distance travelled

Q: Select all that apply about an integral. Represents the area between the function, the x-axis, x=a…

A: Option first and second are correct about integral ... Option 3rd and 4th are not correct about…

Q: Let R be a relation on A = {1, 2, 3, 4}, such that: R4 = {(x,y) / x multiple of y} R5 = {(x,y)/y =…

A: Note : Not able to understand R6.

Q: (a) Estimate the area under the graph of the function f(x) = endpoints. Round your answer to four…

A: Let's find area under the curve  by using right and left endpoints.

Q: 1. Find the formula for the inverse function of f(x): f^(-1)(x) Express as f^(-1)(x)= ƒ(x) = √−2x −…

A:

Q: Consider (A) What are the equilibrium solutions? the initial value problem given by: d = x² (4 − y)…

A: A)  for equilibrium solutions put dydx=0∫xndx=xn+1n+1+c

Q: 7 Given the graph to the right, find f(x)dx ff(x)dx 0 7 [f(x)dx=₁ 0 10- 8- 6- 4- 2- 0- 0 N. 2 4 6…

A: We have to find the definite integral.

Q: 2. Determine if the Mean Value Theorem can be applied to the following function on the the given…

A:

Q: +∞ c. [to pote C. 88 e (2²+y²) dady

A: Let's solve given double integral.

Q: Approximate the area under the curve y = x² from x = 0 to x = 3 using a Right Endpoint approximation…

A:

Q: Question: 3.3327x10^-10 m to nm

A: Solution: Given data, 3.3327 × 10-10 m

Q: A cylindrical package to be sent by a postal service can have a maximum combined length and girth…

A:

Q: Question 5: Determine whether the sequence converges or diverges. If it converges, find the limit.…

A:

Q: A truck radiator is filled with 5 gal of water. Now a gallon of water is removed from the  radiator…

A: Initially Radiator has 5 gallons of water

Q: The vector v has a magnitude 13 millimeters and a direction of 84 degrees. Find the magnitude of its…

A: The magnitude of a vector v→ is  v→ = 13 mm The angle is, θ = 84° To evaluate: the magnitude of the…

Q: Use trigonometric identities and algebraic methods, as necessary, to solve the following…

A: I have solved step by step in detail...go through the solution

Q: 1. Y = 2x³ +3 (x4 - 3) ³

A:

Q: Find the length of the curve defined parametrically by x=f², y=31²/2 on 0≤ts √3.

A: We need to find out the length of the curve.

Q: 2/3 f(x)=5-x; [1,1]

A:

Q: Identify the inflection points and local maxima and minima of the function graphed to the right.…

A: Solve the following

Q: 4. Use the method of substitution to find evaluate the following indefinite integrals: sin(x) cos³…

A: We need to solve integrals.

Q: Does there exist a function f such that f(0) = -1, f(2)= 4, and f'(x) ≤ 2 for all x?

A: The given question can be solved using the concept of mean value theorem.

Q: 1- Calculate R6 for f(x) = 9 10x on interval [2, 4].

A:

Q: Evaluate the integral (2x + 5) (x² + 5x + 9) ³dx 3 by making the substitution u = x+5x+9. + C NOTE:…

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Q: f(t) = - 16t² + +268t + 10 is the height (in feet) of a ball launched straight up t seconds after it…

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Q: 12 IF ST ² A If f(x) dx = 14, then compute the value of the following definite integral. √3 16 f(3x)…

A:

Q: y"-4y" +13y"-36y'+36y=0

A: Let's solve given differential equation.

Q: 402 #3 p. 303) A particle is moving on the x-axis with velocity given by v(t) = -3t² + 18t - 15. and…

A:

Q: Use Maclaurin se In(1+x²) + x sinx lim-

A: we have to evaluate the limit using maclaurin series  limx→0ln(1+x3)x.sin x2   since we know that…

Q: Calculate the indicated Riemann sum S3 for the function f(x)=x²-8x - 33. Partition [0,6] into three…

A: Let's find Riemann sum S3.

Q: (a) If g(x) = 2x + 2 and h(x) = 4x2 + 8x + 9, find a function f such that fo g = h. (Think about…

A:

Q: 5. Find the antiderivative F(x) of f(x) = 3/√√x such that F(4) = 2.

A: Since the student has posted multiple questions and does not mention any specific question, so we…