Given the set of information, find a linear equation f(x) satisfying the conditions, if possible. (If not possible, enter IMPOSSIBLE (-5) - 8 and f(1) = 5 rx) =

Q: Question 19 Find the focus of the parabola 4x +24=8y-y?. A (-1,– 2) B (-3, 4) (-음4) D (-6, - 2)

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Q: Use the formula to calculate the balance A of an investment (in dollars) when P = $2,000, r = 4%, an...

A: Given:   A = 2000    r = 4% = 4/100 = 0.04     t = 10

Q: Find the Domain and Range x-4 1. y

A: Given that: y=x-4x       NOTE: As per our answering guidelines, we can only answer 1 question or 3 s...

Q: Objective: Determine the form of a particular solution for each differential equation. y" – 2y' + y ...

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Q: Evaluate f"(e) when e = 0 given f (e) = 2 sec 30

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Q: Solve the triangle below. Re 6. 37 R

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Q: Consider the double integral •3 cos (a2) dx dy 3y COS

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Q: Question Evaluate the following limit using L'Hospital's rule. lim (e + 2a)() 6x Provide your answer...

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Q: Find the 8th term of the arithmetic sequence -4, -9, –14, ... Answer:

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Q: What is the equation of the directrix of the parabola x2 + 2x+4y– 27=0? A y=8 B y=0 (© y= -2 D y=6

A: Solution ) x2 + 2x + 4y - 27 = 0 Add 1 and subtract 1 in equation  x2 + 2x +1  - 1  + 4y - 27 = 0 (x...

Q: 3. Construct a table of values to investigate the following limits: 10 a. lim T→3 x – 2 10 b. lim T→...

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Q: Find the parametric equations for the tangent line to the curve x=t^2−1,y=t^4+1,z=t^4 at the point (...

A: Given: x=t2-1, y=t4+1, z=t4 Point 8, 82, 81, is for t=3 as you can see substituting it in the three ...

Q: evaluate the indefinite integral / dx. Av7² – 4 xª/x² -

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Q: For the given position vectors r(t), compute the (tangent) velocity vector r′(t) for the given value...

A: Part A,             rt=cos5t,sin5tTo find : r'π4  

Q: Write an equation of the tangent line to the curve f (x) = 10//7 + 6x at the point (4, ƒ (4)). Uploa...

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Q: f(x)=2x^2-6x-1, find x so that f’(x)=0

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Q: dx Evaluate – 12x - 12x dx 12x - 12x

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Q: A company's total cost, in millions of dollars, is given by C(1) = 130 -60e where t is the time in y...

A: The company's total cost, C(t)=130-60e-t

Q: Find 34. tan?x sec x dx

A: Given that: ∫tan2x.secx.dx

Q: QUESTION 5 A conical water tank has a radius of 5 cm at the top and 20 cm high as shown in Figure 1....

A: Given: A conical water tank has a radius of 5 cm at the top and 20 cm high.  Water flows into a tank...

Q: 2x+5 교-4x+6

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Q: Draw a sketch of the plane of 4x – 4y + 2z – 9 = 0. -

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Q: Find the tangential and normal components of acceleration at the given time t for the plane curve r(...

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Q: For the following exercises, draw the region bounded by the curves. Then, find the volume when the r...

A: Given:       y = 1/ (x+1) , x = 0 and x = 2 

Q: Question 20 Determine the vertex V, focus F, and the equation of the directrix of the parabola (y- 4...

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Q: Find an equation of the plane containing the points (0,0, 2), (2, 4, 1) and (–2, 3, 3).

A: Equation of a plane containing 3 points is x-x1y-y1z-z1x2-x1y2-y1z2-z1x3-x1y3-y1z3-z1=0  

Q: Suppose the cost of producing bananas is given by the differntial equation: dC/dx = 26/x + 45x whe...

A: The cost of producing bananas,dCdx=26x+45x

Q: {k}, {I, m, o}, {n, p}} of the set U = {k, I, m, n, o, p}. Give the

A: Solution is attached below.

Q: Obtain the Maclaurin series expansion (up to 6 terms) and compact form of the function: f(x) = 2sinh...

A: Given: f(x)=2sinhx

Q: 28. tan (2x) sec (2x) dx

A: follow the procedure given below.

Q: QUESTION 2 Differentiate of the following function with respect to x. a) y = x³ln (2x) 3x2+10 b) y =...

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Q: 49x2 – 75x 19- 4x - lim X -00 86x +7

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Q: Q2: z = cos3xsin4y+2x²y az az azz a²z a2z Find : дх' ду' дх ду 'дхду

A: Given  z=cos3x sin4y+2x2y Differentiating partially with respect to x and y , we get ∂z∂x=(-3sin 3x)...

Q: Determine the general solution for the given higher order differential equation. dz (D² + 16)³(D² + ...

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Q: 2. Let f(x) ax+b cx+d° %3D (a) Show that if ƒ is one-to-one, then ad – bc # 0. (Ъ) Show that if ad –...

A: Given that: f(x)=ax+bcx+d

Q: f A is 3 × 3 and det(2A-1) = -3 = det(A³(B¯1)"), find det B. 32 a) 을 (b)을 (e) (d) (e)을 83 34 23 83 (...

A: Topic:- matrix algebra

Q: Z = z = cos3xsin4y+2x²y az əz azz a²z a2z Find : дх' ду' дх ' ду'дхду

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Q: Determine the derivative of f(x) = 3 x² In x with respect to x. f'(x) = |

A: We have to find f'(x)

Q: II. Let U = R, 1 = { x eR | x5 – 26x3 + 25x = 0 }, J = { x € R | |4x + 2| > 10 } and K = { x €R | x?...

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Q: Determine the gradient of the curve 3xy + y² = -2 at the point (1, -2)

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Q: Find the limit of the infinite sequence. 27,93 1 1 Enter dne if the limit does not exist. If the lim...

A: Given query is to find the limit of the sequence.

Q: Question 21 Give the coordinates of the vertex with focus at (1,2) and a directrix at y=8. Blank 1 B...

A: Given , The directrix is at y = 8 , focus at (1,2).  

Q: On the graph of f(x) answers that apply. = tan x and the interval -27, 0), for what value of x does ...

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Q: fre x'e*dx

A: Given: ∫0∞x2e-xdx

Q: Write down the first five terms of the following recursively defined sequence. ɑi = 2; an+1 = -2an +...

A: Topic:- sequence and series

Q: 4 – 2x dx. x3 + 2x2

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Q: 4

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Q: Question Evaluate the following limit using L'Hospital's rule. lim 3 In (x) 15х — 15 Provide an exac...

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Q: Find Sta | tan (ay) dy 32.

A: We have to find integral of given function.

Q: Set up and evaluate the integral that gives the volume of the solid generated by revolving the plane...

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