In a girl's basketball game, Brooklyn scored 35 points from 2-pointers and 3-pointers. Her father in the stands remarked that she made twice as many 2-pointers as 3-pointers during the game. How many of each did she make? Brooklyn made Number 2-pointers and Number 3-pointers.

Q: A system of equations is given in which each question is written in slope-intercept form. Determine…

A: Given Problem:- A system of equations is given in which each question is written in slope-intercept…

Q: 1. The volume V of a right circular cone of radius r and height h is given by Var²h. (a) Find a…

A: (a)V=13πr2hdifferentiating w.r.t  "r" ; where h is  constantdVdr=13πh . 2rdVdr=2πhr3

Q: Find the indefinite integral. (Use c for the constant of integration.) [(41³i+ (4t³i + 14tj - 6√tk)…

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. |ti + t²j|| dt =

A: ||xi + yj || = √x^2. + y^2

Q: 2 Find az/ax if the equation yz - Inz = x + y

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Q: F. dr if Using any method, find the value of So F(x, y) = (6e + 3ye") i + (3eª + 6xe²) j and πt C:…

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Q: 2. Moderate Find the inverse Laplace transform of s² +8s +27 (s + 1)(s2 + 4s +13)

A: To find the inverse Laplace transform of s2+8s+27s+1s2+4s+13.

Q: Evaluate the definite integral. NOTE: Enter the exact answer. 11 ["||ti + 1²i||dt = |

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Q: .3 t +y3

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Q: Write the given (total) area as an integral.  • The area above the x − axis and below y = 4x− x²…

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Q: Differentiate: arcsin arccos () = 1

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Q: veen y - II [U, 1].

A: We will find the area .

Q: c) The equation of a curve is y = √5x+4 i. Calculate the gradient of the curve at the point where x…

A: Gradient: The gradient is a synonym for "slope." The steeper the line is at the place the higher is…

Q: F (y)= 2 y-3

A: The given function is  F(y)=2/(y-3).

Q: Question 11 > Suppose f(x)=√√. Give the function for each of the following transformations. The…

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Q: Let G₁ be z = 6-√√36 - x² - y² and G2 be the upper nape of x² + y² - 3z² = 0. If S is the circle…

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Q: Find the limit. Use l'Hospital's Rule wher lim [In(x⁹ – 1) – In(x³ – 1)] - - *-1*

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Q: Solve the following equations: a) y√(1-x²)dy + x√√(1- y²)dx=0 dy x(2 ln x+2) b) = dx sin y+y cos y…

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Q: (a) Estimate the area under the graph of f(x) = 2 cos(x) from x = 0 to x = x/2 using four…

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Q: Consider the solid Q limited by the surfaces: And the planes z = x² + y²₁ z=4-2²-y² y√3= x, y = 0…

A: Given

Q: A "bead" is formed by removing a cylinder of radius r from the center of a sphere of radius R (see…

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Q: CO Start with the geometric series Σχ. m=0 (a) Find the sum of the series Σ - = 1 (b) Find the sum…

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Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

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Q: trignometric

A: We will find the solution.

Q: Consider the following function. f(x) = x¹/⁹ + 8 (a) Find the critical numbers of f. (Enter your…

A: We will apply f'(x) =0 to get critical number.    If f'(x) > 0 for all x in an interval then f(x)…

Q: The angle of elevation of the sun is 63°. Find the length of a shadow cast by a person who is 5 feet…

A: Here we have to use the concept of the trigonometric ratios

Q: Determine whether the ordered pair is a solution of the system. 6) 5x-7y=-21; (7,8) 4x +9y=97

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Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

A: Evualate the vector valued function

Q: Find the arc length L of the graph of r(t). r(t) = 2 cos(t)i + 2 sin(t)j + tk, 0≤ t ≤ 2π

A: Given :

Q: Determine whether the series is convergent or divergent. If the series is convergent determine the…

A: Given problem:-

Q: If f(3) = 11 and f '(x) ≥ 3 for 3 ≤ x ≤ 7, how small can f(7) possibly be?

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Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

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Q: Finding an Indefinite Integral In Exercises 55-66, find the indefinite integral. 58. far² √²…

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Q: Find two positive numbers that satisfy the given requirements. The sum is S and the product is a…

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Q: The following rational equation has denominators that contain variables. For this equation, a. Write…

A: Given problem:-

Q: 5. f(x) a=-2,2 2 √4-x2 -2 x 2

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Q: Hello, I had a homework question on this. I know how to solve for common logarithms, but this…

A: Given 3•7^x=4•5^x

Q: Question 15 The cost, in dollars, to produce a designer dog leashes is C(z) - 8x + 9, and the…

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Q: Solve the equation. 3) 49x874x

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Q: Find P(33 < X < 47) if X is normally distributed with mean 37 and standard deviation 10. For all

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Q: Ordinary differential equation ( ey *sin(y)-2y*sin(x) )dx+( ex *cos(y)+2cos(x) )dy = 0

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Q: A car braked with a constant deceleration of 16 ft/s², producing skid marks measuring 50 ft before…

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Q: Sketch the region enclosed by the curves x − 5 = 4y and x − 21 = (y – 4)², and compute its area. A

A: The given curves are; x-5=4y and x-21=y-42 Now find the point of intersection between the given…

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Q: The smaller the curvature in the bend of a road, the faster a car can travel. Assume that the…

A: Given

Q: ind the absolute extrema if they exist, as well as all values of x where they occur, for the…

A:

Q: Sketch the region enclosed by the curves x = sin 3y and x = y, and compute its area as an integral.…

A: We have to find the area between the curves.

Q: 10. SHOW ALL WORK Verify the following identity:1 (1 - csc²0) (1 + tan²0 ) = tan² an evels to sty…

A: Given;  (1-csc2(theta)) (1+tan2(theta)) =tan2(theta).

Q: Find the limit. lim (t i 6 j + t² k) t-5 lim (t i − 6 j + t² k) = i t-5 i+ i j+ i k

A: