Find the orthogonal trajectory for the family of straight lines passing through (3,-5).

Q: -8 17 sine -15/17 -8/17 15/17 8/17

A: Given query is to find the measure of indicated angle.

Q: y" + y' + 2y = 0, y(0) = y'(0) = 0

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Q: Given: -8 17 csce = O 17/15 -17/15 17/8 -17/8

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Q: Find a polar equation in the form r= f(θ) of the ellipse with eccentricity e= 6/7 such that one of…

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Q: 2. y' + xy = xy

A: Find your answer below

Q: 20t y = (x-2)2+40 ABOUT THE X-axis -2 0 2

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Q: 25x -9 – dx

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Q: Why do we use radians rather than degrees in Grade 12 math? You may use examples to explain your…

A: We use radians rather than degrees because of below reasons.

Q: 4. Consider the integral (a) Draw the region of integration. (b) By reversing the order of…

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Q: Find the radius of convergence about x = -2 and interval of convergence of the series Sn°(ar + 2)"…

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Q: erify that the points are the vertices of a parallelogram, and find its area. А(1, 1, 3), В(3, -5,…

A: We have to find area

Q: Зx-5 The function f(x) = is discontinuous for what value of x? 3 2-3x x = 4/3 O x = -2/3 X = 2/3…

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Q: Find the intervals of concavity and point(s) of inflection of the function on the given interval. f…

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Q: The time (in hours) that a branch of Amalgamated Entities needs to spend to meet the quota set by…

A: T(x, y)=x4+16y4-32xy+43Tx =4x3+0-32y(1)+0Tx=4x3-32yTxx =12x2-0Txx =12 x2Ty…

Q: . a. Approximate y = e# using the Taylor polynomial P3 (æ) of y = e at 0. а.

A: taylor polynimial formula and steps I given below.

Q: 6. Determine, with reasons, the absolute maximum and absolute minimum of f(x) = x/2 – x on the…

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Q: x ) 10 (Vx² +1 – Vx²2 – 1 | dx Vx4 – 1

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Q: What is the value of csc(0) if the terminal side of the angle 0 intersects a circle at the point…

A: At first we want to find radius of the circle.

Q: Given: -8 17 cose = 15/17 -8/17 8/17 -15/17

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Q: e3x _e-3x Y = e3x +e-3x]

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Q: Use the areas shown in the figure to evaluate f (x) dr. Area = 10 Area = 9 а b c d y = f(x) Area =…

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Q: A rectangle is expanding such that its length is always 4 times its width. If the width is…

A: Let's find.

Q: Let k(x) = tan−1 x. Find the value of k(9)(0), the 9th derivative of tan−1(x) at x = 0.

A: Given

Q: 1. State the equation(s) of all horizontal, vertical, and slant asymptotes (if any) for each of the…

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Q: A stone is thrown straight up from the edge of a roof, 600 feet above the ground, at a speed of 16…

A: The answer is in below steps.

Q: f(x) = / sinx cos x

A: The objective is to flnd the derivative and slmpify.

Q: 2. Find the radius of convergence and interval of convergence of the series. (a) (-1)--1 (" – 5)*+1…

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Q: Given vectors a = (1,2),5= 2,-1), find 4a-35. (-2,-11) (2,-11) (-2,11) (2,11)

A: Given vectors are:- Vector a =<1,2> vector b =<2,-1> Find :- 4a-3b

Q: 1 64. f (x) = (1 – æ)*

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Q: Consider the function f(r) 7x10 + 10r 10r 4. An antiderivative of f(x) is F(z) Ax" + Bx" + Cr + Dr'…

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Q: QUESTION 2 If the auxiliary equation of a certain linear, homogeneous, 8th order DE with constant…

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Q: if xo = 2, x1= 3 and x2 = 4 the second degree %3D %3D polynomial for f(x) = ! using Lagrange %3D…

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Q: 3 2 2 3 1, find the matrix B Such that AB = 5 3 4 3 4 2 1 6 1 5 6 4 , If A = 1

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Q: complete and detailed solution using techniques of variation

A: Given,            ∫dy1+y+13

Q: 3. Determine the values of a, b, and c such that the functior f(x) =x² +ax² + bx+c has a y-intercept…

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Q: Evaluate each of the following indefinite answers in simplest form (factored form) 3dt 1. J (21+8)…

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Q: Grien that the graph of fx) passes throush the point (7,4) and that the slope of its tanger line at…

A: Given problem:- Given that the graph of f(x) passes through the point (7,4) and that the slope of…

Q: Constraint:

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Q: 3. Determine the values of a, b, and c such that the function f(x)=x+ax + bx+c has a y-intercept of…

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Q: Find the gradient of the function at the given point. f(x, y) = 2x + 5y2 + 10, (3, 4) Vf(3, 4) еBook

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Q: wo vectors beginning at the same vertex of a triangle are ⟨2,3⟩ and ⟨-3,2⟩. Choose the correct…

A: It is given that, Two vectors beginning at the same vertex of a triangle are ⟨2,3⟩ and ⟨-3,2⟩

Q: Prove the following. (b) lim( Vn² +1 – n ") = 0 - (c) lim Vn? n) = } 1 2 ||

A: Prove the following limits

Q: 5.SUPPOSE tu at fex)= XJgcK)· If 903)=16 and g C3)=-5.what is f'(3)?

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Q: Si x³VI+x* dx? After substitution is performed, what is equivalent to 82 4 vũ du 82 Vũ du 82 Vu du 4…

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Q: 12x3 00 Find the power series for f(x) = in the form > an. (1 – x+)² n=1 Hint: First, find the power…

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Q: Choose the correct speed and direction of a plane with a velocity of (5,-12) 13,113° 17,293° 17,113°…

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Q: Find the iimit oT X SP approaches zero from the left. x -3.62330136 t-0.827974189 4- 2 10 12 does…

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Q: (2x-4y)dydx 3.

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Q: Solve AABC subject to the given conditions, if possible. Round the lengths of the sides and measures…

A: b=144.9c=123A=114.6°Law of cosine;a2=b2+c2-2bc cosA…

Q: Use THIS standard form for a tangent plane: - fz (x1, yı) * (x – x1) – fy (x1, yı) * (y – y1) + (z –…

A: Given