Find the point(s) on the parabola x =y closest to the point (0,3)

Q: The distance of a car from the drivers home after x nours is given by the expression D (x) 2x2 + 20 ...

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: find the average value of the function on the given interval 7T 5. COS on 0, 6. sin x on (0, 7)

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Q: Solve the differential equation (y¯+ y)dx - (y¯+ 2xy + x) dy = 0. If y = 1 when x = 3, determine x w...

A: Topic:- differential equations

Q: Variable Separable (6) (xy - 3y + x – 3)y' = xy + 2y – x - 2 (7) y' kM – ky; Provide the explicit so...

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Q: Evaluate the line integral along the given path. (Give your answer correct to 2 decimal places.) | 6...

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Q: For the following exercises, draw the region bounded by the curves. Then, find the volume when the r...

A: Given:       y = 1/ (x+1) , x = 0 and x = 2 

Q: -32 2dy = 0

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Q: Suppose that f(x) = 11x² + 4x. Find: (A) f'(x) = (B) The slope of the graph of f(x) at æ = 2 and æ =...

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-  parts for...

Q: What is the relation between a one-to-one function f and the function (f-1)-1? 1.

A: FOLLOW THE PROCEDURE GIVEN BELOW.

Q: Solve the following second-order differential equation: y" + 4y/ + 5y = 8x sin x

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Q: For the given position vectors r(t), compute the (tangent) velocity vector r′(t) for the given value...

A: Part A,             rt=cos5t,sin5tTo find : r'π4  

Q: (x-y)dx+(x-y+2)dy=0,Solve For Homogeneous DE

A: Given differential equation is (x-y)dx+(x-y+2)dy=0 Solve homogeneous DE

Q: if f(x)=4x^2+7x+6, find the equation of the line tangent at x=-2

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Q: the arm of a ferris wheel starting from the center to its passenger seat has a length of 80 ft. how ...

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Q: Question Evaluate the following limit using L'Hospital's rule. lim (e + 2a)() 6x Provide your answer...

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Q: For what Values Of X IS tne wing geommetric series convergent? 1++ 27 1) x>0 2) -1<x<1 3) -3<x<3 4) ...

A: Topic:- series   

Q: a) Queen Beyoncé's yacht will be leaving from Port Destiny and traveling on a straight line to an is...

A: Each part of the problem is solved below in detail.

Q: Let f (a, y) — 5x? — 8ӕу + 2у - fy 10х - 8y 4y -8х + 4y 10х -8х + 4у

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Q: Prove: 0 =- 1 Proof 1: sin x tan xdx = [ cos x 1 u = cos x dv = sin xdx sec x du = sec x tan xdx v=-...

A: Solution is given below:

Q: Consider the sequence 18 n cos(nn) an 2n 1 Write the first five terms of an, and find limn→∞ an. If ...

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Q: If the solution of y' = 2(2x - y) passes through the point (0,1), determine x when y = 7.

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Q: y = x, y = 3x; about the y-axis

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Q: 4. Use the graph to find the following characteristics of a polynomial? K/5 4) Use the given graph t...

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Q: Find the partial fraction decomposition of the function. Write answer in simplest form. x² +x+1 a) f...

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Q: 11. Scientists can determine the age of ancient objects by the method of radiocarbon dating. The bom...

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Q: If ã = <!,2,37 and b=<5,0 -17, find the vector pojection of %3D %3D ŏ onto à.

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Q: The contours of f are a sheet faling off to zero not defined parabolas lines

A: Here is the image of the graph in the 3d. Blue is z axis.

Q: O Find All the ASymploles of the Cerve 3x3 +22y-7ay²+2y"-14x4+7y²+4x+5 =0-

A: Total Asymptods are 3 . 

Q: 3 x° +x* dx x² 4 3

A: The given integral is solved below in detail.

Q: Exact Differential Equations (16) (17) (2xy + 1)dx + (x² + 4y)dy = 0 (18) (6xy + 2y² – 5)dx + (3x² +...

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Q: Prove the following indentity. - 1 attachment - sece sine = cot0 sino cos0

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

A: Given: ysin16x=xcos2y Equation of a tangent at point a,b with slope m is defined as  y-b=mx-a

Q: Determine whether the sequence an 13 23 n3 converges or n4 diverges. If it converges, find the limit...

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Q: 2. 2. 1. 14) sin- 16) sin-. 18) cos -1 20) cos 2.

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Q: Find a parametrization of the circle of radius 7 in the xy-plane, centered at the origin, oriented c...

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Q: Determine whether the integral is convergent or divergent. 2 dy 4y - 1 convergent divergent If it is...

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: ay The differential equation X dx =1 is a nonlinear differential equation. dx? %3D Determine it is a...

A: Since we are given with the multiple number of questions and our guideline is solve the problem so k...

Q: Evaluate the inverse Laplace transforms of the following: 2 1 4 1. s+9 s- 5 20 1 2. s+3 5s -3 6s-5 3...

A: Given : 1)  L-1{2s-1s+9+4s-5}2) L-1{20s+3+15s-3+7s6}   NOTE: Since you have asked multiple questions...

Q: Homogeneous Differential Equations (11) (x – y)dx + xdy = 0 (12) (x sin- y cos) dx + x cos 2 dy = 0 ...

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Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

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Q: T if the statement is true; otherwise, write F. (x) =, lim f(x) = f(2) %3D %3D x2 6+4t 3 t2+1f(-3) F...

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Q: 11-18 Find the solution of the differential equation that satisfies the given initial condition. 12....

A: NOTE: Refresh your page if you can't see any equations. .

Q: Determine whether the following is always true or not always true. Given reasons for your answers. J...

A: let Vector  u=u1,u2,u3  v=v1,v2,v3  w=w1,w2,w3 

Q: Q2: z = cos3xsin4y+2x²y az az azz a²z a2z Find : дх' ду' дх ду 'дхду

A: Given  z=cos3x sin4y+2x2y Differentiating partially with respect to x and y , we get ∂z∂x=(-3sin 3x)...

Q: Write the exponential equation in logarithmic form. For example, the logarithmic form of 2 8 is log,...

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Q: write the given expression in the form of u^2 - a^2: x^2 - 6x + 5 is equal to. SUBMIT YOUR SOLUTION ...

A: Here we have to use the completing square method

Q: 2. Let f(x) ax+b cx+d° %3D (a) Show that if ƒ is one-to-one, then ad – bc # 0. (Ъ) Show that if ad –...

A: Given that: f(x)=ax+bcx+d

Q: (a) What is the relative growth rate? Express your answer as a percentage. (b) What was the intitial...

A: Follow the procedure given below.

Q: Find u v. u = 4i - 3j v = i - j V U V =

A: Finding the dot product of u and v