Determine the exact distance from the point P (1,2) to the line (-1,3) + t(2,9), t e R . Show your work

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Q: Find the relative maximam/minimum values of the fuction f(x)=X-2 State where the function is…

A: Given,            fx=x-2x+2To find : Find the relative maximum/ minimum values of the function.…

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A: The differential equation that describes the given model can be solved by using the variable…

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Q: find the tangent to the curve f(x)e%*-2% at X=-1. Express answer exactly in terms of e (not a…

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Q: = 4x +C

A: Topic = Integraton

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Q: Find the integral of the following

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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Q: Solve this q3 as soon as possible and not use p. Take (p=6) and solve this plz with p=6

A: Follow the procedure given below.

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Q: Given f(x, y) = 1æ²y then the total differential df = %3D

A: I have appended the formula used in the solution part.

Q: lim g(f(2)) = * - 00 lim g(f(2)) = |0 lim *-1+ g(f(2)) = 00 lim g(f(x)) -00 *-2-

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: val [1,5].

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Q: A hot air balloon sing vertically is tracked by an observer located 3 miles from the lift-off point.…

A: let the height at that moment is h miles.

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Q: d y Find dx? |(-1,2) if x² + y' = 9

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Q: Г(x3 + 2х — 1) cos 4x dx A .3 13 x (3x² 13 sin 4x + 4 |cos 4x + C + - 4 32 16 128 B (x³ (3x² 13 |cos…

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Q: Which of the following is not a possible zero of f (x)=2x-5x+12?

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A: I am attaching image so that you understand each and every step.

Q: Consider the Bernoulli's equation: dy - y = 6e*y³. dx A) Find an appropriate substitution and reduce…

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Q: Use the root test to determine whether >a, converges, where An is as follows. n=1 332. a, = n/ e"

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

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Q: dA when r = 2. dt dr Let A be the area of a circle with radius r. If = 2, find dt

A: Area of the circle with radius r is given by;A=πr2differentiating w.r.t time,dAdt=2πr drdtWhen r=2…

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A: Use the nth term test for the series divergence.

Q: Evaluate the following limit: 4x2 – 4y? tan(4x4 + 4y4) 8x4 + 8y* - lim (2,y)→(0,0) 1 2 4 The limit…

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Q: 2

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Q: 3x cosh a dx. 6. Calculate the definite integral, Jo -

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Q: Solve the differential equation with appropriate method. Finalize answer equated to ky^n. dy/dx + y…

A: Using bernoulli's differential equations, solve this differential equations.

Q: 5) x²dx + y(x – 1)dy = 0 %3D

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Q: Determine if the following statement is true or false. The lines L and L2 are skew. L:x= -1+2t, y =…

A: The given lines are: L1:x=-1+2t,y=10+3t,z=2-tL2:x=-7-5t,y=1,z=5+4t Here, the normal vector of the…

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: Here, the given vectors are P(-3,1,5), A(1,1,0) &amp; B(-2,3,-4)

Q: (kx-1 ifx< 2 G(x) kx? if x 2 2

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Q: S(3x2 — х + 2) е -* dx | A - (3x2 – x + 2)e* (бх 1)e * + 6 e¬* + C (-3x² – 5x – 7)e¯* + C (3x? —х+…

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Q: S sin(ln x)dx A 1 x sin(lnx) – cos(Inx) + C x sin(lnx) – cos(lnx) + C| B D x sin(Inx) + cos(Inx) + C…

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Q: Evaluate the following equations using Reduction Formulas

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Q: 3. Let's consider the function f(x) = 2 + 2 sin(x) on the interval 0 < x< 2n. Algebraically…

A: We have to find the inflection points and interval in which f(x) is concave down.

Q: Solve the initial value problem -4sin(2t – 4), s'(0) = 100, s(0) = 0. %3D %3D dr2

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Q: in Exercises 22-26 solve the initial value problem. 22. y"-7y + 6y = -e*(17 cos x -7 sinx). y(0) =…

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Q: pls show full solutions and clear   1. Show that the absolute value function is continuous at x =…

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the eract answers in terms of i,j…

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Q: 2. Find the limiting values of 3x? + 5x - 4 (i) 5x? - x +7 as x→ 00

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Q: draw 4 level curves of f(x,y)=e^-x+y

A: Given f(x,y)= e^(-x) +y The level curve are           e^(-x) + y = k    or.  y= k - e^(-x) Which is…

Q: 1. Let Ā = (-1,2, 3) and B = (4, –3, 1). Find the following. c. [2Ã] – |3| e. JÃ – 2ĒJÄ a. JÃ|B –…

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Q: 1. Evaluate the indefinite integral, ſx² sinh x3 dx.

A: To evaluate the indefinite integral, ∫x2 sinh x3 dx.