A stone is thrown vertically upward from the top of a house 112 feet high. If it was thrown at 96 fps, how long will it take the stone to pass the top of the house on its way down? O 7 seconds O 6 seconds O 5 seconds O 4 seconds

Q: If  f(x) = x3 + 1,  then give the following. (a) the value of f at  x = −1  is  f         =  (b) t...

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Q: 2 V = 5500 find (1- 50 0<t< 50 the cate which water drains at tme (rate must be nesative).

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Q: T(z, Y, 2) = 1500e 2y

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Q: sinx sinx +x Cosx- e +e The integral -dx may be written as me"sinx +px+qe^ +C, where m, n, p, q, r, ...

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Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e, x = 0, x 2, an...

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Q: Write the standard form of the quadratic function that has the indicated vertex and whose graph pass...

A: We will use the concept of standard form of parabola as a quadratic function to solve this problem.

Q: By considering the real and imaginary parts of the product eiθ eiφ prove the standard formulae for c...

A: Given problem:- By considering the real and imaginary parts of the product eiθ eiφ prove the standar...

Q: 3. Sketch the region bounded above by the curve y = x, below by the line y = -x - 2 and on the sides...

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Q: Perform the operation and wrtte the result In standard form. (1-7)'

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Q: Find the area of the triangle with the given vertices.     (−1,−1), (5,−1), (2,5)   The area of the ...

A: Area of triangle = 12x1y11x2y21x3y31 x1,y1=(-1,-1)x2,y2=(5,-1)x3,y3=(2,5)  

Q: Sketch the graph of f(x) x and the graph of the function g. y y 10- 10 -10 -5 10 -10 -5 10 f-5 -10 1...

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Q: A rectangular box with a volume of 64 ft is to be constructed with a square base and top. The cost p...

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Q: 25 is what percent of 44? (truncate the percent at tenths)

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Q: dx (x+1)v2x2+4x

A: Given: I=∫dxx+12x2+4x   We know that; ∫1x2+1dx=tan-1x+C   So, We can also write as:   I=∫dxx+12x2+4x...

Q: a) [ ]: Evaluate the integral (4x + 1) In x dx c) [ ]: Evaluate the integral 2 dx (x – 1)(x + 4) |

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Q: Given polar curve r = −6 sin(θ) do the following. (a) Find the Cartesian equation for this curve. (b...

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Q: Consider a utility maximizing consumer who generates utility according to the following 1 utility fu...

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Q: dy Given the equation below, find dx 10a? + 3x"y + y' = 14 dy da Now, find the equation of the tange...

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Q: A pine tree growing on a hillside makes a 76°angle with the hill. From a point 83 feet up the​ hill,...

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Q: (2) elnx = x (1) sin-1x = V1-x2 (1) ax A- Show that : cos x (2) lim x- cosx (2) (1) limx-0 В- Find :

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Q: f(x) – f(1) - If f(x) = log2(x) , then lim a-1 (A) in(2) (B) In(2) (C) 0 (D) 2 (E) 1 8:49 PI

A: We can solve the question as below

Q: Score! Question 16 The number line below shows a value on a log scale. 105 10-4 103 10 2 10-1 100 1...

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Q: COSX-e +e The integral dr may be written as me asinx + px + ge" + C, where m, n, p, q, r, and Can si...

A: We will solve the integral. 

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

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Q: f. Find the area bounded by the curves y=x^2+6x and y=3x. Give exact answer.

A: We can find area of the given region as  Follows  

Q: axis. y = 3x2, y = 18x – 6x2

A: Given query is to find the volume of the solid generated.

Q: Find the equation of the line tangent to an inverse function Question -3x - 3 Find the equation of t...

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Q: (4) Let S be the surface parametrized by I =r cos 0 y = r sin e 2 = 30 where and 0<r< 4 Evaluate the...

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Q: The planes I and I, have equations II. : 6y+5z =-19, 5 I,:ニx-4y+7:=1. State the normal vector of the...

A: We have to find the normal vectors of the given planes.

Q: The region bounded by y = x² + x – 2 and y = 0 is rotated about the x-axis. Find the volume of the r...

A: Given query is to find volume of the solid generated.

Q: True or False: If we use substitution the substitution x = tan 0, then, the integral dx 1 + x2 trans...

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Q: Your are driving away from New York. Your distance​ (in miles) away from New York x hours after​ 1...

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Q: dx Evaluate Зх — 12 A) o в) 1 (c) + 00 D 00

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Q: Sin/cos

A: Given query is to simplify the expression.

Q: ng If C(t) = 50t e - 0.2t measures the concentration, in of a drug in a person's system t hours afte...

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Q: Now, suppose this is actually the graph of g'(x). Answer the following questions about the function ...

A: As per the guidelines when multiple sub part question are posted in single pic then we are supposed ...

Q: Differentlate. sin(0) e) = 1+ cos(0) f() = -. Write a decimal correct to 4 d.p

A: topic - derivative of a function

Q: 1 Find the equation of the tangent line to f- at the point P(,,-1) for f(x) = %3D 3x2 - 1 Provide yo...

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Q: 6TH GRADE MA MON There are 28 students in math class, 22 of the tudents passed a recent rest. What p...

A: Given query is to find the percentage of students passed the test.

Q: 30. The radius of a puddle is claimed to be 12.0 inches, correct to within 0.01 inch. Use linear app...

A: This question is related to error and approximation, we will solve it using given information. 

Q: Use long division to divide and use the result to factor the dividend completely. (5x2- 3x-14) (x- 2...

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Q: Find the length of the following curve. If you have a grapher, you may want to graph the curve to se...

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Q: Write the comp number in standard form. (Simplify your answer completely.) 3-V-64

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Q: An annular cylinder has an inside radius of r, and an outside radius of r2 (see figure). Its moment ...

A: Given problem:- An annular cylinder has an inside radius of r, and an outside radius of r₂ (see figu...

Q: Question 7 Which of the following is an improper integral? (А) -dx -4 x2-x - 2 --X In (3e) xe cos (x...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: Find the derivative of y = 3sin2x A 6 sin x B 6cos2x с) 6sec2x

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Q: The parametric curve x= 414 + 412 + 1, y= 5t 3 – 5t has two tangent lines at the point (9, 0). Find ...

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Q: 2. Given the integral dy dx, Sketch the region of integration, reverse the order of integration and ...

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Q: 4y2 = 3. Maximize Q= xy, where x and y are positive numbers such that x+ Write the objective functio...

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Q: 1.n f csc n? de y2 - 2y + 3 2.5; Vy - 3y: + 9y – 21 dy

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