Use a graphing utility to find the point of intersection, if any, of the graphs of the functions. Round your result to three decimal places. (Enter NONE in any unused answer blanks.) y = 120e0.01x y = 11,400 (x, y) =

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A: We have to find how far along the shore should Zoey run before jumping into the water in order to…

Q: find the area between y=10 and y=9x^(2 ) for -1<=x<=1

A: y=10 &amp; y= 9x2  Wr have to find area between above curve  from x=-1 to x= 1

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Q: At 10:17 a.m., you pass a police car at 55mph that is stopped on the freeway. You pass a second…

A: Given that:  Distance travelled between 10:17 to 10:55 am = 39 milesSpeed limit = 70 mph

Q: 1 Jo (1 + 4xy) dx dy

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Q: Simplify 3+√-75. O 3-5i√3 O 3-25√3 O 3+Si√3 O 3+25i√3

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Q: ength of the polar curve A² OSAS ATT 4π

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Q: If A is the area of the intersection of the regions enclosed by the graphs of r= 1 + cos and = 2 cos…

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Q: 3. Sketch a graph of a continuous function f(x) with the following properties: o f(x) is increasing…

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Q: A function f (x) passes through the points (15,24), (18,37), and (22,25). Use Newton's Divided…

A: Points (15,24), (18,37) and (22,25)

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A: We need to find max height.

Q: 4 Find any relative extrema of the function. (Round your answers to three decimal places.) f(x) =…

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Q: If A(x)= 5x (1) - AP() = 1 1 + f² dt then:

A: Ax=∫05x11+t2dt

Q: A cylinder is inscribed in a right circular cone of height 2.5 and radius (at the base) equal to 6.…

A: A cylinder is inscribed in a right circular cone of height 2.5 and radius (at the base) equal to 6.…

Q: Construct a polynomial function f with the following characteristics. zeros: -3 (multiplicity 2),…

A: we need to construct a polynomial with -3 (multiplicity 2), and 4 (multiplicity 1) degree 4 here we…

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Q: Find the general indefinite integral. Use an upper-case C for any arbitrary constants. √(-8- (−8 −…

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Q: It is known that 3 3 S³ S² emax {x,y} dydx = ae³ + b, where a, b are integers. Determine the value…

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Q: derivative for this question. I gave the easy function. a) Domain of f(x) is b) Find the…

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Q: Consider the polynomial equation and the value of x. 36x3 − 63x2 + 35x − 6 = 0      x = 13 Use…

A: Given the polynomial equation is: 36x3 -63x2 +35x-6=0 and the value of x is: x=1/3 .

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 12-x…

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Q: Find the area bounded by the curve y = 7x ln(x), the x-axis, and the lines x = 1 and x = e.

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Q: For the following exercises, vectors u and v are given. Find the magnitudes of vectors: u−v and −2u.…

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Q: What is the average rate of change of f(x)=e^(x)-2 over the interval [1,3] ?

A: We have to find average rate of change.

Q: Find the values of x for which the series converges. Σ. (3) n=0

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Q: 4-x 1. ffxy dy dx

A: let  V=∫04∫04-xxydydx

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Q: a. b. ₁x+1(x²-2y)dydx √2²√3v18-x²-y² Say x²+3y² dz dxdy

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Q: The volume of a cube is increasing at 24 cubic inches per minute. What is the rate of change of its…

A: Let the volume of the cube be:  VdVdt=24

Q: The marginal revenue of the xth box of flash cards sold is 500e-0.002x dollars per box. Find the…

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Q: Given the graphs of y = 3 + x - x² and y = 2x +1. (A) Identify the points of intersection. Write as…

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Q: 5. Solve the following integrals, where a E R is a constant: 1. e* cos(ae*)dx ·S² 2. (5x + 3)e ³x dx

A: To solve the following integrals, where a∈R is a constant. (1) ∫ex cosaex dx (2) ∫075x+3e3x dx

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Q: Use the Remainder Theorem and synthetic division to find the value of f(x) where x is 5. f(x) = x³ -…

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Q: A firm estimates that it will sell N thousand units of a product after spending x thousand dollars…

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Q: (a) Find an equation of the tangent plane to the surface at the given point. z = x² - y², (7,5, 24)…

A: Given that,           z =x2 - y2 ,  point (7, 5, 24)

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Q: I the curl of the vector field F = ■ F = j+ k

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Q: 8. Several children ate some candy. Each child ate 7 pieces fewer than all the other children ate…

A: Let's assume that there are n children who ate candy. Let's also assume that x is the number of…

Q: Write an equivalent integrat with the order of integration given. a) The parabolas x=x²-1 and…

A: (a).The given curves are:x=y2-1     and       x=2y2-2

Q: Find the work done by the force F = xyi + (y-x)j over the straight line from (-2,3) to (

A: The force F=xyi+y-xj over the straigt line from -2,3 to 1,0   We know that,

Q: A circle is inside a square. The radius of the circle is increasing at a rate of 5 meters per day…

A: A circle is inside a square.Let, r be the radius of the circle and a be a side of the square, t be…

Q: D 5. Evaluate S ( 1 + sinx)² cosx dx 6. find the area of the region bounded above by y=x+6 bounded…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Find all possible functions with the given derivative. f'(t) = sin 6t+ cos f(t) = t

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Q: Find the area of the region that lies inside the first curve and outside the second curve. r = 13…

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