Find the points on the graph of the function that are closest to the given point. Rx) - х2, (0, 7) (х, у) %3D (smaller x-value) (x, y) = (larger x-value)

Q: 7x + 4 if x 1 |

A: Here, the given function is: f(x)=7x+4, if x<-2x2+1, if -2≤x<12-3x if x=11-x+x if x>1 where…

Q: Answer the question. Show ALL your steps in your calculations. Answer in complete sentences. 2x²–50…

A: fx = 2x2-50x2+8x+15domain: -∞,-3∪-3,∞x=-3, vertical asymptotex=-5, hole

Q: Three vectors are given by: J = 2î – k K = 2î – ĵ+ 2k L= 2î – 3} Determine: (i) K•L x J; and (ii)…

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Q: 5. [4 log x + 1] dx

A: Student has specifically asked for the solution to the Question (5). Hence answer to that problem is…

Q: y csc's x cot 5x 2.

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Q: Evaluate y' of the given functions: xy² = x²

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Q: (2 1 Q2) find eigenvalue eigenvector of A x(0,0) = (1,1)

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Q: 2. DETAILS LARAPCALC10 4.R.086. Find the derivative of the function. 8 In

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Q: Solve the value of t using quadratic equation (unit must seconds). Include the units while solving.…

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Q: The one-to-one function h is defined below. 7ォー9 h(x)- %3D 4x +1 Find h(x), where h is the inverse…

A: Domain of a function y=f(x) is the set of values of x for which f(x) is defined Range of a function…

Q: dr

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Q: What is the volume of the solid formed by revolving the region bounded by 6y =x2 and 6z ? %3D %3D…

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Q: Using Optimization in Derivatives, solve the following question: A farmer wants to have small garden…

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Q: Find the equation of a parabola that has focus at (-4,0) and directrix 2

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Q: 1) Evaluate lim 10 VX-5 X-25 x25

A: We can find the limit as below.

Q: Q2// Solve the following differential equation: e2y dx + 2(xe2y – y)dy = 0

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Q: 16. بين ما اذا كانت تقع النقطة N على المستقيم AB ام خارجه N=( 2,1.5,3 ), B ( 0,1,2), A ( 4,2,4)…

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Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (i) '2' of…

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Q: dy Use an appropriate technique to find dx from x² + y² = (2x² + 2y² -x)*.

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Q: x² – 3x – 2 - if r<-1 x – 1 x + 3 f(x) = if - 1<x < 1

A: limx→-1-f(x)=limx→-1-x2-3x-2x-1=(-1)2-3(-1)-2-1-1=1+3-2-2=-22=-1

Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card of…

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Q: Given the following acceleration function of an object moving along a line, find the position…

A: Given problem:- Given the following acceleration function of an object moving along a line, find the…

Q: 4- The number of element in the sample space when you flip 3 coins together a) 2 b) 8 c) 6 d) 12

A: To find the number of elements in the sample space when 3 coins are flipped together.

Q: Find the exact length of the polar curve. r = 6 sin ?,    0 ≤ ? ≤ ?/3

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Q: determine which statement is true

A: Follow the procedure given below.

Q: (5) Find the volume of the wedge in the first octant that cut from the solid cylinder x² + y? < 4 by…

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Q: Find the limit. lim (t i – 3 j + t² k) t→8 Exact number, no tolerance. lim (1 i– 3 j+? k) i+ i j+ i…

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Q: Solve the following set of equations with LUdecomposition: 3x1 – 2x2 + x3 = -10 2x1 + 6х2 — 4хз — 44…

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Q: Q(x) = Jx + Vx + Vx + ·…

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Q: What is the probability you draw two cards of the same color from a standard 52 card deck you are…

A: favourable conidtion is  26C1*25C1 = 26*25 total condition is 52C151 C1 = 52*51 probability =…

Q: Find y' if x = y*. 4.

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Q: Shown below is a graph of a line in the Cartesian plane. What corresponding polar equation? 2 -1 -1…

A: As we know that; The intercept form of equation of a line; xa+yb=1 Where; The x-intercept is at a,0…

Q: 00 n³n² COS 5n³ +3, 1

A: See the answer below

Q: determine which statement is true {(x, y)|x = y2} (A) not a function (B) function; domain: R (C)…

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Q: Question 5 Find the volume of the solid that results when the region enclosed by the given curves is…

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Q: f fcx) = 5 Ccor"2x) 131

A: The objective of the question is determine the derivative of the given function.

Q: Sketch the graph the integrands and use areas to evaluate the integrals. + dx -2

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Q: determine which statement is true y = (x + 2)2 + 2  (A) not a function (B) function; domain: R…

A: Given that       y = (x+2)2+2

Q: (cos 2x) f (x) = e

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Q: 8. 21

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Q: 6. sin v- -2 cos Va + C %3D 4x2 1. Ja-8 dx = 18 (1-8x)4 (1-8x3)4 8. Se*dx =+ %3D In e

A: As per the instruction, we will be answering only the first three subparts. For (6),    ∫sinxxdxLet…

Q: Consider the series n+5 Determine whether the series converges, and if it converges, determine its…

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Q: If the function is continious at x c, then the right limit at x= c is equal to f(c). Select one: O…

A: To verify if the given statement is true or false.

Q: Question An open-top box is to be made from a 12-inch by 42-inch piece of plastic by removing a…

A: An open‐top box is made from a 12‐inch by 42‐inch piece of plastic by removing a square form each…

Q: Q2// Solve the following differential equation: e2y dx + 2(xe2y – y)dy = 0

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Q: 1. Find the derivative of the following: (Simplify your final answers.) f(x) = ev3(cos²zx) C.

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Q: Given the two vectors: å = 2ỉ -j+k, b = i + 2k and d = 3ỉ + 5j in 3D. a) Determine the dot product…

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Q: The graph of a derivativef'(x) is shown in the figure below. Fill in the table of values for /(x)…

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Q: CORRECT

A: We have to choose the correct option from the given options according to the given information

Q: dy = -xy %3D dx

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