¿L: P2 → P2 is a linear | ưansformation defined by L(p(t)) = tp'(t) + p(1) , then L(-51² – 2t + 5) is equal to %3D Select one: -1012 + 2t + 5 O -10r? – 2t + 2 | none of the others -1012 – 2t – 2 1012 + 21 + 5

Q: A company manufactures running shoes and basketball shoes. The total revenue (in thousands of…

A: We use partial differentiation technique to maximize the revenue. The solution is explained below.

Q: What are the x-intercept(s) of f(x) = x²7x+10 3(x-1)² a) There is no x-intercept. b) x = 1 (order 2)…

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Q: A truck with 46-in.-diameter wheels is traveling at 60 mph. Round answers to 2 decimal places as…

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Q: Which function represents a transformation of the parent quadratic function and 2 units down? a. fx)…

A: Here we have to transform the parent qau8dratic function 6 units to the left and 2 units down.

Q: Consider the subspaces of R5 U = span {⃗u1 = (1, 3, −2, 2, 3), ⃗u2 = (1, 4, −3, 4, 2), ⃗u3 = (2, 3,…

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Q: Write f(x) = x 2 − 10x + 8 in vertex form.  precal

A: Given :f(x)=x2-10x+8

Q: The Range of the quadratic function f(x) = -x² + 15x + 45 is O (0,8] О -45, 8 O [-8, 0) O [45, 0) O…

A: By sketching the graph

Q: fx) = 1 + 5x f(x) 2の 31 -2 -1 0. 2 17

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Q: The Range of the quadratic function f(x) = -x² + 9x + 53 is O (0,4] O (-∞,53] O [53, ) O [-53, 4] O…

A: This question is based on finding range of quadratic function which is a downward opening parabola

Q: The maximum value of (/-3 + 4x – x2 + 4)² + (x – 5)². | |

A: Introduction :

Q: Let f(x)=3(x+2)(x+3). What are the coordinates of the vertex?

A: X coordinate of the vertex=-b/2a Y coordinate of the vertex=putting value of x coordinate in f(x).

Q: 4) Write the following functions in vertex form. 2 a) P(x) = x 2x - 7 b) P(x) = - - x² + 6x + 2

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Q: The left-hand side ne equation 1dw -9 = 93w – 9 an be written in the form 3f(w) for some linear…

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Q: What is the vertex of the quadratic, 3x - 12x - 1 = f (x) O (4.082,0) O (2, -13) (3,1) O (4,-1)

A: Given, The quadratic expression fx = 3x2-12x-1 We have to find its vertex.

Q: 6(t+2)=5(3t-4)

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Q: Look at the following list of real numbers. Which is NOT ordered correctly? Explain Why.

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Q: Determine the constants a and b so that x = -1 is a zero point to q (x) = x5-3bx3 + ax2-ax + b with…

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Q: Identify the vertex of: f(x) = 3(x - 5)² + 1/2 O (-15) O (5) O (-1/52,7) O (5,-)

A: Identify the vertex of: fx=3x-52+72A   72,-15B   72,5C   -152,7D    5,72

Q: Show that the function (x2+y2 t224이) is a Solution of Loplace's equation d2u dy?

A: It will be solution of given Laplace equation only when, it will satisfy it.

Q: The Range of the quadratic function f(x) = -x² + 24x + 48 is, O [-48, 12]| о (), 12] O [48, 0) O…

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Q: Find two positive number whose sum is 15 so that the sum of their square is minimum.

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Q: 5. Use the function f(x) = x³ + 2x² + x - 2, create a table with 8 inputs and outputs. Complete the…

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Q: 4こCx15)(xt4)

A: Given that y = (x + 5)(x + 4) we need to find it's vertex form. Since y = (x + 5)(x + 4) = x2 + 9x +…

Q: If the position of an ob ject moving along a straight line at any time is expressed by s(t) = 1³ –…

A: Given: s(t)=t3-9t2+24t

Q: Find value of k in the equation kx+8y+11=0 if point X=(10,7) lies on this line

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Q: Showthat fo= x| is Continuous evalyuhore- 1x1+1

A: