The equation of the ellipse that has a center at (4, 2), a focus at (7, 2), and a vertex at (9, 2), is (x – C)? (y – D)? 1 A? where A = B = C = D =

Q: (2y² + 4x²y)dx + (4xy + 2x³)dy = 0

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Q: If an arrow is shot straight upward on the moon with a velocity of 69 m/s, its height (in meters) af...

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Q: Sketch the region enclosed by the curves/lines x=y, y=1/x, y=3 and find its area.

A: Given; x=y, y=1x, y=3   First, we have to find the point of intersection between the curve y=1x and ...

Q: 2 The parabola y = x + 9 has two tangents which pass through the point (0, – 6). One is tangent to t...

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Q: The area bounded by the curves: у-х, у-6-х аnd у-0.5х is:

A: see below the answer and explanation

Q: Using appropriate substitution, .3 1 the integral J1 x(3+ln(2x))² dx is equal to: 3+ln 6 3+ln 2 3+ln...

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Q: 1 dy yi+ yi = 1, when x = 0, y = 4 dx

A: y12dydx+y32=1   when x=0, y=4.

Q: a sin a + In v ) da + tan adv = 0 cos a |(In v)(sin a) = v cos a – sin a + C In v = a cot a – 1 + C(...

A: This question can be solved by applying the concept of linear differential equation.

Q: Is the series convergent or divergent? Justify the answer {Vn – Vn + 1}

A: The solution is given in the next step.

Q: = cos(x + y), when x = 0, y = " %3D

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Q: Analyze what solution you will use whether it is bernoulli's equation / solution by substitution / s...

A: Let's find. 

Q: 3x?dx 10. S 9x6-12x3+4

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Q: Rewrite the rational expression using the method of partial fractions. 4(v)(y+ 2)(y – 3) 4y2 - 2y – ...

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Q: (x – x2 – y²)dx + (y + x² + y?)dy = 0

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Q: 2. Let b, = cos and cn = cos for all n e N such that n > 2. Determine whether the given series conve...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: What is the value of C when x=y=0? y = 2xy – x O 1 O -1/2 О 12 O None of the choices

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Q: The profit for a product is given by P (x)=- 14x²+ 1400x – 33,600- where x is the number of units pr...

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Q: The height (in feet) at any time t (in seconds) of a projectile thrown vertically is h(t) =-16t2 + 2...

A: We have to find the velocity when hits the ground

Q: 9) Find the center of mass of the plate of uniform thickness and density formed by the curves: y=4-x...

A: To find the solution

Q: Inx lim メ→」* メー

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Q: f(x) = tan(x) – 4 Find sec(x)

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Q: 1 17. dx .2 + 4x + 5

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Q: Use implicit differentiation to find the slope of the tangent line to the curve defined by xy^8+9xy=...

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Q: 4- if f(x)= {† * *S S2 +x x 15 is this function is continuous or dicontinuous a) continuous b) dicon...

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: (s – s2 – t2)ds + (t + s2 +t2)dt = 0

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Q: Find the surface area generated by revolving about the x-axis the curve y=2(15-x)^1/2, from x=0.59 t...

A: Area =integration of 2πg(x) √1+(g'(x)) 2 dx

Q: A certain close box having a square base has a volume of 100 in^3. Compute the rate of change of its...

A: Given is a box 

Q: iven k (x) = 3 (x + 3)² -2, perform the following. Part: 0/3 Part 1 of 3 (a) Identify the power func...

A: (a) The parent function for k(x) = 3(x+3)^3 -2 is the power function y=3  

Q: Determine the force acting on the electric charges q1 = -1.25x10-9 C. and q2 = +2 x10-5 C. that are ...

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Q: x3+64 is: 3- the limit of this function lim_ -4 2x²+6x-8 30 b)- 24 26 c)- 5 5

A: Topic = Limits

Q: Solve for the interval of convergence of the power series. Be sure to verify convergence or divergen...

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Q: Given R(t) =4 cos ti + (1+ 3cost)j + 5sintk. Find T'(t).

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Q: Find the time at which the brine leavir

A: Follow the procedure given below.

Q: Give a Taylor series expansion of f(x)=ln(x) and use its first 5 terms to approximate ln(7). Also, d...

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Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving...

A: Topic = Volume

Q: Verify that ɛ¡ikEjik = 6 . ijk ijk

A: Follow the procedure given below.

Q: Show that each series below is convergent using a test of your choosing. Besure you clearly state wh...

A: As per the guidelines I am supposed to do the first question among multiple question. So here I am d...

Q: The derivative of the function y = cos(x In 3) log3(sin x) is:

A: Given,            y=cosxln3log3sinxTo find : The derivative of the given function.

Q: x3 3x2 X + dy 8(y+ 1) = 0 y+1

A:

Q: Let 5 sin⁡x+ 7 cos⁡ y=6. dy/dx= d^2y/dx^2

A: 5sinx+7cosy=6Differentiate w.r.t x5cosx-7sinydydx=05cosx=7sinydydxdydx=5cosx7siny

Q: The angle of depression from a window to a rock to the ground is 67.8 degrees. What is the angle of ...

A:  

Q: The derivative of the function y = tan(In(vx² – 6x + 1)) is: %3D

A: Formula:ddx(tan x) = sec2xddx(ln x) =1xddx(xn) =n xn-1

Q: Determine the interval of convergence of n2 +1

A: Given problem:-

Q: QUESTION 3 Use the square root property to solve the equation. (x+2)2=9 Show your work on a separate...

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the remain...

Q: Assuming that z is a differentiable function of x and y, use implicit differentiation to find from t...

A: ln(x2y) - eyz= tan-1z  ----(1)To Find: ∂z∂ySince z is a function of x and ySo we differentiate equat...

Q: Activity 2. Tell My Equivalent Direction: Convert the following measurement from one unit to anothe ...

A: Note: -  Since you have asked multiple questions, we will solve the first question for you. If you w...

Q: Suppose z = f(, y) = (x² + 4) sin(y) + xy². By setting one variable equal to a constant (either x = ...

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Q: Consider the following system of linear equations. 5x+ 20y=-10 -6x-28y=12 Solve the system by comple...

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Q: ba be #3. Let n be an ntey er with nzl and let b,, bzbn be positive real numbers, not all egual, suc...

A: Solved below

Q: Find the area of the region enclosed by the graphs of the given equations by partitioning the x-axis...

A: The region is enclosed by the graphs,y=5x2, y=5x