Find all values of y such that the distance between  (9,y) and (-4,6) is 15. y= ?

Q: Differential equation: Initial conditions: -=4e¹1-e¹j+9e³k dt² r(0) = 7i+4j+3k It=0 -2i+ 3j =-

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Q: is closest to the point (9, 0).

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Q: Find the vertex, focus, and directrix of the parabola. x² = 6y vertex focus directrix (x, y) (x, y)…

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Q: 1) Consider an investment of $3000 at 2% compounded monthly. Find the amount in the account after 4…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: A spherical balloon is inflated so that its volume is increasing at the rate of 2 ft^3/min. How…

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Q: Find and prove the limit or deteremine if the limit doesn't exist: arctan(n)

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Q: lim In (x) In XX x+1 2 x+1

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Q: i) Given the functions below, solve for the following = f (x) = x+1 and g(x) = X-³33 a] (gof)(x) and…

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Q: Consider the initial- value problem y' = −4₁√ỹ + x³ − 2, y(1) = 4. In order to use Euler's method to…

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Q: Using the method of Lagrange multipliers, find the critical points forf (x, y) (x > 0), subject to…

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Q: For f(x)=√x over the interval [0, 9], verify that f satisfies the hypothesis of the Mean Value…

A: Let's find value of c by using mean value theorem.

Q: What is the geometric ratio of the sides of a Kepler's Triangle?

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Q: Determine whether the following statement is true or false: If both matrices A of the size 3 x 3 and…

A: Giben data÷ A is an invertible (non singular) matrix. B is an invertible (non singular) matrix. Size…

Q: When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are…

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Q: Work of 5 Joules is done in stretching a spring from its natural length to 10 cm beyond its natural…

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Q: Which of the following is the derivative dy dx dx cot:+1 coty + 1 The answer cannot be found among…

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Q: dG dx If g=- which of the following is equal to d dx -tanG?

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Q: Solve for the solution set of the following logarithmic equations 22. loga (2x + 1)-loga (x-1)= 1…

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Q: dR If r=- dx which of the following is equal to Arcsec(2 + R²) ? dx (R2R-¹+2R)r (2ª +R²)√4²+R+-1 The…

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Q: Consider the IVP: y' = 4xsin(y), y(1) = 4. Using Euler's method with h = 0.1, we have an…

A: Topic = Differential equation TRUE

Q: Consider the following. x = 3 sin(68), y = 3 cos(68), Oses" (a) Eliminate the parameter to find a…

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Q: Sketch the curve of the following:  y = ex/x2 *please use handwriting not typing, I understand it…

A: Given thaty=exx2To sketch :graph of curveSolution…

Q: Which of the following is equal to the derivative O dy dx dy dx dy dx || x² + 2xy + y²-1 x²-2xy +…

A: Topic:- derivatives

Q: Find the positive integer that minimizes the sum of the number and its reciprocal.

A: Let the positive integer is x ( x > 0) The sum of the number and its reciprocal is f(x)  (let),…

Q: 2) Consider the DE: (2xy − 6x²)dx + (x² +9)dy = 0 - A) Determine whether the DE is exact or not,…

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Q: Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the…

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Q: (c) √x 3²+²+¹ da +16 dx

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Q: Given f(x) = √√x+2 and 2 g(x) = x²-3x

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Q: Carefully verify that the piecewise function f(x) = x ≤ c {(8-0)² 72 0 satisfies the differential…

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Q: Find the vertex, focus, and directrix of the parabola. x2 = 6y vertex (x, y) =…

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Q: Use the guidelines of curve sketching to draw the graph of x² x² + 3 y =

A: A detailed solution is given below

Q: Suppose C(*) represents the amount of dollars spent every miles travelled. What unit does C'(12)…

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Q: 16796+11101001102 = 16

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Q: The quantity of oxygen that can dissolve in water depends on the temperature of the water. (So…

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Q: Question Find the Taylor polynomial p3(x) for f(x) = 4e at x = 1. Sorry, that's incorrect. Try…

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Q: Find the local linear approximation of the function f(x)= square root of (1+x) at x0=15, and use it…

A: Linear approximation at x = a, L(x) = f(a) + f'(a) (x -a)  Therefore, the linear approximation of…

Q: Which of the following is the integrating factor of the given linear DE ? dy dx - - 10cos(2x) +…

A: Given dydx - 10cos2x + 12ycos3xdydx + 12ycos3x = 10cos2x

Q: The displacement (in meters) of a particle moving in a straight line is given by the equation of…

A: We can find the velocity of the particle.

Q: For sinx+ siny=e", which of the following is equal to dx dy cosy - yey dx dy dx (sinx +siny ) .x —…

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Q: (d) fbx ²²+1 dr br

A: We can evaluate the given integral by using the substitution u = ax2 + 1

Q: 11. Determine whether the series Σ» (1) n=1 converges or diverges. If it converges, find its sum.

A: Given series:- ∑n=1∞lnnn+1

Q: Use the compound interest formula, A (t) = P(1+). After a certain number of years, the value of an…

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Q: Find and prove the limit or deteremine if the limit doesn't exist: n/(e2n-5)

A: Find and prove the limit or determine if the limit doesn't exist: ne2n-5

Q: ㅍ 2 Evaluate the definite integral 1 0 +1 24 ○ㅠ-1 T3 O² +1 + C 24 0 1 +1 ○ T3 24 - 1 x² + cos(x) dx.

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Q: 22. Find the point on the curve y = √x that is closest to the point (3, 0).

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Q: Find the local and/or absolute maxima and minima for the function over the specified domain: y=√x -…

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Q: Determine whether the two graphs are equivalent. O equivalent A B DE not equivalent C F B с D F A E

A: Two graphs are equivalent, if they have the same set of vertices and edges.

Q: The polynomial of degree 5, P(x), has leading coefficient 1, has roots of multiplicity 2 at = 1 and…

A: The polynomial of degree 5, Px, has leading coefficient 1, has roots of multiplicity 2 at x=1 and…

Q: Graph f(x) = -4(3) + 4. First drag the two (blue) points on graph to the correct points that f(x)…

A: We have to graph the given function.

Q: e)- Assume that now | x1 = R. Show that x-X=0 [Hint: Differentiate constrain't ev]. Deduce that I is…

A: It is given that: X⇀=R so, we get, X→2=R2