Twenty-four percent of the cars owned by a car rental firm have some defect. What is the probability that of 3 cars selected at random, the following will occur? (Round your answers to four decimal places.) (a) none has a defect

Q: Find the area between the curve and the x-axis for the function f(x)=³- on [0, 3] 2 O 0.25 O 16 O…

A: Given query is to find the area under the curve.

Q: 6. 2y" - 2y + y = 0, y(-) = 1, y'(-) = -1

A: Introduction: The characteristic equation can only be formed when the differential or difference…

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A: Topic = Derivative

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Q: Solve the equation for 0 ≤ 0 < 2π. Show all work.. cos -√2 cos 0 = 2 cos sin + cos

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Q: Evaluate the limit x²-y²-2² lim(x,y,z)→(0,0,0) x²+y² −z² ° Does not exist

A: Limit does not exist

Q: valuate the difference quotient for the given function. Simplify your answer. f(x) – f(4) X-4 f(x) =…

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Q: Consider the differential equation =kp² + c where k> 0 and c 2 0. In Section 3.1 we saw that in the…

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Q: Given p= and a = , find 2p - q. 2p - q = <

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Q: Let f(x) = 2 lim f(x)= 24+ -3x+2 3x + 15 if > -4 Calculate the following limits. Enter "DNE" if the…

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Q: Use the second derivative test to identify any critical points and determine whether each critical…

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Q: Determine the derivative of the function g(x) = (Inx) ¹⁹. Answer g'(x): ||

A: Determine the derivative of g(x)=(lnx)^19

Q: Let f(t)=6t^2+8. Estimate the following to within two decimal places by using small enough…

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Q: Let à = and b =. Find k so that a and b will be orthogonal (form a 90 degree angle). k=

A: Given  Vector a ={3,2,-1}  Vector b={-2,-5,k} Now we know that vector a and vector b are orthogonal…

Q: Find the volume generated by revolving the curve x + 2y = 2, from x = 0 to x= 2 about the x-axis

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) sim (9x² - 2x) X→0 X

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Q: S. Two passengers leave the Austin Bergstrom Airport. One takes 4.5 hr flight to Seattle and the…

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Q: (2x²-x-y) dx-xdy=0; y(1) = 0

A: given differential equation is :-(2x2-x-y) dx-xdy = 0      ; y(1)=0cpmpair D.E  with Mdx+Ndy =0 here…

Q: In a sales promotion, a clothing store gives its customers a chance to draw a ticket from a box that…

A: In a sales promotion, a clothing store gives its customers a chance to draw a ticket from a box that…

Q: Find the distance between the planes 2x + 5y + 4z = 7 and 2x + 5y + 4z = = Question Help: Video 10.

A: We know that the distance between two parallel planes:ax+by+cz+d1=0andax+by+cz+d2=0 is given…

Q: The diameter of each wheel of a bicycle is 27 inches. If you are traveling at a speed of 40 miles…

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Q: Based on the table below, answer the following questions. Use the average of the average rates of…

A: We can calculate average rate of the function using the right and the left interval. Then we will…

Q: Find the volume of the parallelepiped determined by the vectors a = (3, 5, −1), b = (0, 4, 1), c =…

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Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, PS. P(2, 0, 2), Q(-2, 3, 8), R(3,…

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Q: Find the cross product ủ × ở where ủ =2i -7j -8k and 7 = (−9, −3, 9). u x v=

A: The given vectors u→=2i-7j-8k and v→=-9, -3, 9. We have to find the cross product u→×v→.

Q: 5) The graph of f is shown below. y DA 2 3 f(x) If g(x) = e f(x) + cos (T) then, find an equation of…

A: We have to find equation of tangent.

Q: Given c = and ƒ = , find č + f. c+ f = <

A: As we know that, If the given vectors are a→=a1,b1 and b→=a2, b2 then sum of these two vectors will…

Q: Find the scalar and vector projections of b onto a a = (-3, 4), b = (7,9) scalar projection of b…

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Q: How can we define the value of an exponential function at an irrational powerusing the exponential…

A: Irrational numbers are those numbers that cannot be expressed as fraction p/q.

Q: Given s(t) = 5t² + 15t, where s(t) is in feet and t is in seconds, find each of the following. a)…

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Q: Find the values of k such that the function f (x, y) = (e^kx)*sin y is harmonic.

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Q: Find the equation of the plane in the figure, which is tangent to the graph f(x, y) = 0.2x² + y - xy…

A: Given curve equation:- fx,y=0.2x4+y6-xy

Q: Find the unit vector in the direction of

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Q: The table gives the percent of employees of the Ace Company in each of three salary brackets,…

A: Given data : The table gives the percentage of employees of the company in each of the three salary…

Q: a) A, B, C & D investors have invested in a business in a ratio of 5:3:4:6. Total investment is…

A: Note:- SInce you asked multiple question ,as per our policy we can solve first question for you so…

Q: = FB 2. How are adding vectors and subtracting vectors similar and/or different? Use diagrams to…

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Q: For each value below, enter the number correct to four decimal places. Suppose an arrow is shot…

A: The given data is: ht=55t-0.83t2 To find the average velocity over the given time interval

Q: Consider the function. Answer Step 2 of 2: Determine the open intervals on which the function is…

A: Introduction: For a given function, y = F(x), if the value of y is increasing on increasing the…

Q: State the average rate of change for the situation. Be sure to include units. The temperature rose…

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Q: A sign in a bakery gives these options: 12 cupcakes for $29 24 cupcakes for $56 50…

A: option A is 12 cupcakes for $29option B is 24 cupcakes for $56option C is 50 cupcakes for $129

Q: if x -5 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = I 5- Let…

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Q: If $7,000 is invested at 9.5% compounded continuously, find the future value after 2 2²/1/201 years.…

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Q: Find the periodic payments PMT necessary to accumulate the given amount in an annuity account.…

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Q: The figure below shows the total number P(t) of Covid-19 cases in Minnesota¹ confirmed up to day t,…

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Q: Find the point on y = x² that has a slope of -8.

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Q: Find an equation for the line that is tangent to the curve y = 2x³ - 2x at the point (-1,0). The…

A: Given query is to find the equation of the tangent.

Q: The graph below is the function f(x) 4 3- 2 01 -5 -4 -3 -2 -1 24 a2+ 1 2 3 Find lim f(x) = sext

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Q: in (√x + 7 ) nine the derivative of the function g(x) = In g'(x) =

A: Given query is to find the derivative of the function.

Q: 4. y(4) + 17y" + 72 = 0.

A: