Q5 Vertex Form Fill in the Blank a. y = ax² + bx+c b. The x-coordinate of the vertex. c. The steps take to change a quadratic function from standard form to vertex form. d. y = a(x-p)² + q e. The highest or lowest point of the parabola. Type in your answer.

Q: can be written in the form Let f(x) = 1-7√x. Then the expression f(x+h)-f(x) h A (√Bx+Ch) + (√x)…

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Q: Write an equation for each graph. 9) 2 4 M 10) -4 -2 16 to H4 12 +0 2 4 6 x

A: We have to Write an equation for each graph.

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A: Please see the explanation below

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Q: Consider the following. y² - x² = 49; (7,7√√2)

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Q: If √√x + √y=9 and y(16) = 25, find y'(16) by implicit differentiation. y'(16) =

A: x+y=9given  y(16)=25d dx(xn)=nxn-1d dx(constnat)=0d dx(x)=12x

Q: 1. Consider the function ax² + bx - 3b ax + 15 Find the values of a and b such that this function is…

A: Given function:- fx=ax2+bx-3bif x<2ax+15if x≥2

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Q: For f(x) = 3x2, find du using the definition, Δε dy dx lim Δε Δε 20 Δε Δε (a) First, evaluate Δy =…

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Q: Let giả tác reo f(x)=7r+k 5 ≤x≤ 10 *+80 *>10

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Q: By considering different paths of approach, show that the function below has no limit as…

A: A graph and function is given here.

Q: Replace the polar equation r = The equivalent Cartestian equation is y= Choose the correct graph…

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Q: Solve y'+by+9y = 0, y(0) = −2, y'(0) = 7 y(t) =

A: Given :

Q: x²dx x² + 4 150. ·S₁

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Q: integrate 2x/(x^2+1) dx from x=0 to 2

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Q: . Find the maximum and the minumum values of the function f(x, y) = 81x² + y² subject to 4x² + y² =…

A: Please see the below picture for detailed solution.

Q: Effect of Price on Supply of Eggs  Suppose the wholesale price of a certain brand of medium-sized…

A: We can solve the given problem by using the implicit differentiation method.

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Q: Find the area of the region in the 2nd quadrant which is bounded by the parabola y = x² + 1 and the…

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Q: Let f(x) = 1 (x¹ - £)5 6 f'(x) = 0 Find f'(x).

A: to find f'(x)

Q: Calculate cos(u) for the following choices of u(x): u(x) = 6 x², cos(u(x)) = u(x) = x=³, cos(u(x))…

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Q: If the lim f(x) and the livigas exist, then the lim [f(x) ga] exists. X-C X-C

A: if the limit x tends to c of f(x) and limit x tends to c of g(x) then the limit x tends to c of…

Q: A mineral deposit along a strip of length 2 cm has density s(x) = 0.01x (2-x) g/cm for 0 ≤ x ≤ 2.…

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Q: Seatwork For YP f(x)= x² 8x y = C₁ e ³x + Recall: a+bx+cx² + 6 Yp= A + Bx + Cx²+.. p= A + Bx + Cx² +…

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Q: Solve y'+4y= 0, y(7) = -3, y(t) = What is the period? Period = Y(7) What is the amplitude? Amplitude…

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Q: 43. f(x, y, z) = In 1-√√x² + y² + z² X 1 + 2 2 x² + y² + z² √x fy(1, 2, 2)

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Q: Find all the values of a such that the given series will converge. (-1)"8nxn n=1 (√n + 10) The…

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Q: Date Note Evaluate S √9-x² dx (use Trigonometric substitutions)

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Q: dy dt - -6y, y(0) = 4

A: Given: dydt=-6y, y0 = 4 To solve the above given differential equation , we will use variable…

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Q: Express the integrand as a sum of partial fractions and then evaluate the integral. Express the…

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Q: Let f(x) = x², and compute the Riemann sum of f over the interval [7, 9], choosing the…

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Q: Find the slope of the tangent line to the curve 2x+9y+√√/2xy = 9 at the point (8, 1). The slope of…

A: 2x+9y+2xy=9slope=dydxd dx(xn)=nxn-1d dx(x)=12xd dx(constant)=0

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Q: In a factory they have type A machines and type B machines. Last week maintenance was given to 5…

A: Given :

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A: Given curve equation:- y=x2-9x

Q: You invest $2,540 at a rate of 7.8% with continuous compounding. How much will you have after 7…

A: invest amount is $2540rate is 7.8%time=7 years formula for compound continuous is A=Pertwhere A is…

Q: A patient is adminstered a dose of 60 mg of a drug. If the body naturally disposes of 5​% of the…

A: Given: A0 = 60 Dispose rate (k): 5% = 5/100 = 0.05 Amount of drug be changed after 7 years T = 7

Q: (b) Expected value of [Cn] ~

A: Let's represent Cn with x. Therefore, P(Cn) = P(x) r = ddx(P(x)) Given, x 0 2 7 10 r 0.07 0.13…

Q: a) Are any of the planes parallel? Justify your answer. b) Determine if the normals are coplanar.…

A: Given      normal vector ( 2 , -2 , 2 )   normal vector ( 4 , -5 , 8 )   normal vector ( 1 , -1…

Q: Sketch the graph of an example of a function f that satisfies lim f(x) 210 = 1

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Q: (a) Scos (lnx) dxe

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Q: Over a 24-hour period 0 ≤ t ≤ 24, the power drawn by a household is given by the function p(t) =…

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Q: World Population The world population at the beginning of 1990 was 5.3 billion. Assume that the…

A: We have to solve given questions.

Q: 5.log, (a²-9)-log, (a-3) is equivalent to og₂(a² + a−12] og (a+3) 3 og₂(a²³ − 3a² − 9a+27 og₂(a² − a…

A: Given query is to find the value of the expression.

Q: Find the exact value of the expression. sin(cos-¹(2) - tan-¹(¹))

A: The given expression is sincos-156-tan-114. We have to find the value of this expression.