12 Consider the graph of the ellipse. which is drawn to scale. This ellipse has an eccentricity of 0.8. Its major axis is 10 units long and its minor axis is 6 unit long. What is the equation for this ellipse? 9x2 +25y2 = 225 G 9x2-25y2 = 225 F.

Q: Find the third Taylor polynomial for f(x) = sin(2x), expanded about c = n/6. %3D

A:

Q: Determine the inverse Laplace transforms of: 2s²-5s-1 (a) (s+3)(s²+9)

A:

Q: 2) Use the Chain Rule to express the second derivative of fog in terms of the first and second…

A:

Q: Determine a.5 tor each of the following i = (7, -3.5)andb = (-5,11. -2) b) a = (-15.13), 5 = (14,…

A: If a→ = a1 , a2 , … , an and b→ = b1 , b2 , … , bn then  a→·b→ = a1b1 + a2b2 + … + anbn

Q: For the function f(x), defined graphically, state the value(s) of x where the function is not…

A:

Q: (-3)"r" ice of the power series Vn +1 n=1

A: Series

Q: Construct a table and find the indicated limit. Vx +2 If h(x)= then find lim h(x). X-4 X-4 Complete…

A: To find the limit of given function as x approaches to 4

Q: y=v16-x 2.

A: This question is based on application of integration.

Q: Decide from the graph whether a limit exists If a limit exists, find its value. lim F(x) X→1 What is…

A:

Q: Evaluate the guen -x>·dR,where conGists of the upper past F the cuafe x ty"=1 from "(-1,0) parabala.…

A:

Q: 5. ungles can be formed using the given measurements. The other measurements of the triangle in…

A: Two triangles can be formed by using the given measurements. The other measurements of the triangle…

Q: Find the first three nonzero terms of the Maclaurin expansion of the function. f(x) 2 sin x What is…

A:

Q: .What is the limit of the sequence an = [(n2 - 1)/(n2 + 1)]n

A:

Q: f'(x)=-+e2* +x² and S(1) =. Find f(x) Given %3D

A:

Q: Suppose that f(æ, y) f(x, y) in the directional (1, – 1) and at the point = xy. The directional…

A: Here, the given function is: f(x,y)=xy So, ∇f=∂f∂x,∂f∂y⇒∇f=y,x⇒∇f(4,-3)=-3,4

Q: Unless specified, all approximating rectangles are assumed to have the same width. The graph of the…

A:

Q: The circumference of a sphere was determined as 84 cm with a possible error of 0.5 cm. Estimate the…

A: We will use the formulae of circumference and volume of sphere to solve this question.

Q: Solve the initial value problem for r as a vector function of t. dr Differential equation: = - 22k…

A:

Q: 10. A conical paper cup is 10 cm tall with a radius of 10 cm. The cup is being filled with water so…

A: A conical paper cup is 10 cm tall with a radius 10 cm. The cup is being filled with water so that…

Q: 3. Find the parametric equation of the line passing through the point (-1,0,3) and in the direction…

A: Parametric equation of line passing through a point x0,y0,z0 in the direction of N=a,b,c is…

Q: 7. Let f(x) - -ar + 9x -3. a. Determine thex-values where f"(x) = 0. b. Fill in the table below to…

A:

Q: Use the table of values to estimate lim f(x). X-5 4.9999 5.0001 7.9999 8.0001 4.9 4.99 4.999 5.001…

A:

Q: The solid shown in figure consists of cone of radius (r) and height (h) and a hemisphere of radius…

A: Given : h(t) = 2t2-6 (cm)              r(t) = 8-t2 (cm)                t= 2 sec

Q: he fox population in a certain region has an annual growth rate of 8 percent per year. It is…

A: To find the function models of population.

Q: Given the triangle 13 find the length of side x using the Law of Cosines. Round your final answer…

A: This question is related to Triangles, we will solve it using given information.

Q: The equation y = log(x – 5) has a vertical asymptote at: - X =

A: Consider the equation  y=logx-5

Q: Q2 The following graph shows the position function r(t) of a mass attached to a spring. Note that…

A:

Q: 1-r 1 can deduce, by applying the formula at r = -9, that 10" -1/8 1-9 Select one: O True O False

A:

Q: Let A = (1,0, 1) and B = (0, 1, 3). Solve for projaB. %3D

A: This question is based on vector projection.

Q: Find the limit 1-ex lim x+0 10x2 – 18x

A: Here we have to use the concept of limit.

Q: 6. What type of discontinuity at x = 1 is in the function f(x) =? (A) infinite discontinuity (C)…

A:

Q: Use implicit differentiation to find the point in the first quadrant on the ellipse 8x2 + 4y? slope…

A: Question- Use implicit differentiation to find the point in the first quadrant on the ellipse 8x² +…

Q: Find the area of the plane region bounded by the given curves: y= x^3, y= x + 6, and 2y+2 = 0

A: Explanation of the answer is as follows

Q: Convert to degrees and write it as the least possible positive coterminal angle. a. -220° b. 120° C.…

A: We have to find the angle

Q: [6]. Consider the following set of parametric equations: x = r° - 3t y = 312 – 9 On which intervals…

A:

Q: 3

A: We will find the limit.

Q: A particle moves with position function s = t4 - 4t3 - 8t2 + 25t, t2 0 (a) At what time does the…

A:

Q: dz 2. Suppose z is a function of r and y and tan(VT+ y) = e**. Determine az and ду

A: Here, the given that z is a function of x and y with: tanx+y=ez2⇒z2=ln tanx+y...(1)

Q: Bolyng bernoulli differential equation

A:

Q: 6. lim f(x) = +o, lim f(x) = 0 x-1+ x-1- and f(-1) = -1

A: discontinuity

Q: 3. Which of the following is a true statementCirclc all that apply. (a) If lim an = 0, then the…

A:

Q: 1. Evaluate the given line integral, (-y,x – y) · dR, where C is the upper part of x² + y? = 4 from…

A:

Q: 2. The number, N, of bacteria in a culture at time t, in hours, is N(t) = 1000[30 + e a. What is the…

A: Topic:- exponential function  Note:- as per our guideline if more than three subparts posted than…

Q: Given the function P(x) = (x – 1)²(x – 4) - -

A:

Q: To find two real numbers whose sum is 23 and whose product is maximum, we should find the maximum…

A:

Q: Find y=f(x) if f''(x)=4x^2, f'(0)=3, and f(0)=2.

A:

Q: Eind. the. puse..

A: power series

Q: Write the function below in the form y = f(u) and u = g(x). Then find as a function of x. %3D y = V…

A: Given:        y  = 3x2-4x+2

Q: dy Find dx y = = 5x° sin x coS X

A:

Q: 1. An airplane is flying towards a radar station at a constant height of 6 km above the ground. If…

A: Given:  Data is given