Rewrite the following quadratic function in standard (vertex) form. Enter exact values and use improper fractions, if necessary. Provide your answer below: f(x) = -4x² - 16x - 13 f(x) = FEEDBACK MORE INSTRUCTION SUBMIT

Q: 18) . Find the solution to the initial-value problem. y' = 2xy(1 + 8y), y(0) = −1 y =   PLEASE…

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Q: Find the horizontal and vertical asymptotic for f(x)= x^3 / (4-x^2)

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Q: Evaluate the definite integral (a) ľ² _l+ x +24 dx, (b) [¹² (x² + 3) (2x + 1)dx, (c) [¹ x²e²¹dx -1…

A: ∫-11 xdx1+x2+x4

Q: 3 A person can memorize words at the rate of words per minute. (a) Find a formula for the total…

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Q: Find an equation for the graph sketched below -5 -4 -3 -2 -1 f(x) = 8 6 5 3 2 1 -1 -2 -3 -4 -5 -6…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Consider the function. f(x) = (1+x)³/x Estimate the following by evaluating fat x-values near O.…

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A: answer is in next step. please give a like!!

Q: Use the method above to find a second independent solution of the equation ty" - y' + 4t³y = 0, t >…

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Q: In an effort to reduce its inventory, a warehouse runs a sale on its least popular Blu-ray discs.…

A: answer is in next step. please give a like !!!

Q: Consider F and C below. F(x, y) = x² i + y² j C is the arc of the parabola y = 4x² from (-1, 4) to…

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Q: Use the ratio test to determine the radius of convergence of the series. R = 00 n = 1 (2n)! -xn n2n

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Q: .) Use method of Laplace Transforms. y"-6y +13y=0, y(0) = 1, y (0) = -3.

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Q: Tutorial Exercise Find the limit of the transcendental function. Ilm 6 sin x x - 7/2 Step 1 To…

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Q: Find the general solution to the differential equation. (4 + x)y' = (x + 5)(y − 4) y =

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Q: Find the solution to y' =    2y satisfying y(0) = 15.     PLEASE SHOW STEP BY STEP

A: Topic:- differential equations

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Q: By inspection, find the eigenvalues of the following matrix: Enter the eigenvalues in increasing…

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Q: Suppose that f(x) and g(x) are two functions and we know that: ƒ( − 3) = 0 g( − 3) = 2 ƒ'( − 3) g'(…

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Q: 9. Let f(x) = 10 z+12 2 10 For each of the following limits involving f, either evaluate the limit…

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Q: Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the…

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Q: Find the Maclaurin series for f(x) = cos s (x³). (Use symbolic notation and fractions where needed.)…

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Q: Evaluate the two integrals given the graph. The two parts of the graph are semicircles. [₁50x 1°…

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Q: Find the limit. (If an answer does not exist, enter DNE.) x Ilm x-0 x² - 2x *2

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Q: 2 2. V X W y = -log₂ (x+3) Equation of Asymptote: Mapping Rule: #3 O -6 E $ 4 R % 5 -2 22 T 2 0 -2…

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Q: 3 The point P is on the unit circle. If the y-coordinate of Pis and P is in quadrant II, then 8 x =

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Q: a) Sketch the region of integration and evaluate the double integral 8 [[_ 0 -6 -2 y + xy² dx dy b)…

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Q: 1. Sketch y₁ = log₂ (x-3) and y₂ = log, (x-3) on the same graph. Comment on the Y₁ 2 similarities…

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Q: 9).  Find the general solution to the differential equation. y' = 2xy2 y =     PLEASE SHOW STEP BY…

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Q: 1. Determine the interval of convergence for the series: 27 3 9 3x + 3x² + 2. Find a general…

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Q: an appropriate method. 1₁ Evaluate the integral using 1 x²√x² +9 dx

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Q: The table below gives selected values for the differentiable and increasing function f and its…

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Q: 1) .  Solve the initial-value problem with the initial condition y0 = 0. dy dt = y + 3 y =    graph…

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Q: 3 If f(x, y) = x³ + y² − 1, then the directional - derivative at the point (-1,2) in the direction…

A: A detailed solution is given below.

Q: Given: x³y - 3x2y" + 6xy' - 12y = 2x + Inx, write the transformed equation in z. A. (D³-6D2 +…

A: Let's transform equation in z.

Q: Find r(t) u(t). r(t) = (7t - 6)i +¹+³j + 2k u(t)= t²i4j+t³k r(t). u(t)= Is the result a…

A: Topic = Vector

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Q: (в Consider the integral f sin ¹x dx. If we let u = sin ¹x and dv=dx, the integral can be written as…

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Q: Find the general solution to the differential equation. dx dt = 3t2(x2 + 4) x =

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Q: A real estate investment, originally worth $6000, grows continuously at the rate of 400e0.04t…

A: A real estate investment, originally worth $6000, grows continuously at the rate of 400e0.04t…

Q: Given polar curves A₁: r = 1 + sin 0 and A₂: r = 3 sin 0 1. Set up (but do not evaluate) an…

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Q: ) Draw the enclosed region 0 and x = -3. √1- x, y = 0 and x Question 2 ( by the curves y = √1- x, y

A: Given,  y=1-x, y=0, x=-3

Q: Evaluate the integral below, where H is the solid hemisphere x² + y² + z² ≤ 4, z≥ 0. SSSH (4x² - y²)…

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Q: Use the Limit Comparison Test to determine whether the series converge 31, 2 k + 3 Σ 3 k=1 √k +4

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Q: 3 X The double integral ³ x dydx has a rectangular region. Select one: True False

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Q: An online retail company determined that their cost for each day, x, can be determined by the…

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