Find the equation of the family of orthogonal trajectories of the system of parabolas y? = 2x + C. y = Cex y = Ce2x y = Cex y = Ce 2x

Q: At what points is the following function continuous? 3 X-216 x#6, x# -6 x- 36 f(x) = 9, x= 6 4, x= -...

A: Explained below 

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Q: exercise

A: Please refer to the image below 

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A: To write the function which defines y implicitly. 

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Q: 10telupleO nnidgs c) tanx = -1.5 d) 2 sin x = 1.05 %3D 0". rdguena a": 123-6 b": o"11so b" 303 6a" द...

A: Note: As per our policy we can only solve three subparts of the  question.

Q: Consider the following. y = dy Find dx dy xp dy Find dt dy dt Need Help? Read It

A: y = (t/x7) + (x/t) , can be written as y = t x-7 + x t-1  Using formula d/dx(xn ) = nxn-1  Different...

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A: Given that: f(x)=5x

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Q: 2 — х lim (x,y)→(2,–1) x³y³ – 2x²y³ 2.x2y3 .22,3

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Q: Guess the value of the limit lim by evaluating the function f(x) =. for x = 0, 1, 2, 3, 4, 5, 6, 7, ...

A: To guess the value of the limit limx→∞ x33xby evaluating the function fx=x33x, for x=0, 1, 2, 3, 4, ...

Q: Exercise 3.2.6 For the following matrices, determine if they are invertible. If so, use the formula ...

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Q: Find the indicated derivative and simplify. dy 41 Int for y = - dt et

A: Product Rule of differentiation : du.v.wdt =dudt.v.w+u.dvdt.w+u.v.dwdt.

Q: Evaluate the following indefinite integral. dt = +C

A: topic - indefinite integral

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A: The given function,  f(x)=-3x3+8x-5

Q: Let F(x) = f(a") and G(2) = (f(x))". 3, f(a) = 3, f'(a) 15 You also know that a 10, f'(a") Then F'(a...

A: F(x)=fx6 and G(x)=fx6

Q: 13) sin- 15) tan--1 1/-

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A: topic - length of the curve calculator

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A: Given function f(x)=cosh(4x) Taylor polynomial of degree n of function f(x) about point x=a is Tn(x)...

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A: We have to find out

Q: Analysis: Real-life Applications Derivative is defined as the rate of change of a function with resp...

A: solution:-N(t)=2500(1+2t2)the rate change of the number is:N'(t)=ddtN(t)= ddt2500(1+2t2)=2500ddt(1+2...

Q: not 2022-02-20 5.44.12 PM.png Discard edits Save Find the time required for an object to cool from 3...

A: Use integration formula

Q: 13 Use the Linear Approximation to estimate Af for f(x): when a = 2 and Ax = 2+x %3D (Use decimal no...

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Q: Let F(x) = f(r°) and G(r) = (f(x))° . You also know that a = 12, f(a) = 2, ƒ'(a) = 15, f'(aº) = 5 Th...

A: We know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x   Given: Fx=fx9 ; Gx=fx9a8=12...

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Q: Solve the initial value problem for y as a function of x. dy x² + 121) 3 23, у(11)%3D0 dx The soluti...

A: Topic:- integration 

Q: Solve the separable equation using the integral factor  Sinx dx + ydy = 0, when x=0, y=1

A: Topic:- application of integration

Q: - 10 тх — 12 x2 + 3x – 2 if x > if x < Let f(x) = -10 If f(x) is a function which is continuous ever...

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Q: Which among the following illustrates the limit of an identity function? O lim z = - 1 lim a = 1 I-1...

A: Given that: Limits of an identity function

Q: The figure below shows the graph of a function over the closed interval -25xs2. Complete parts (a) t...

A: Topic:- calculus

Q: or the function 2x – 4, 0 < x < 4 f(x) = { -2, x = 4 x2 – 8x + 20, 4< x se algebra to find each of t...

A: Given query is to find indicated limits.

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A: To evaluate:limx→∞ 3x3-4x+27x3+5

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Q: Suppose that 5 J of work is needed to stretch a spring from its natural length of 24 cm to a length ...

A: NOTE: Refresh your page if you can't see any equations. . Natural Length=24 cm=0.24 m Extended Lengt...

Q: lim f(T) = 1, lim f(r) = – 00, I -2 f(-2) = %3D 4- 3- -5 -4 -3 -2 A1 2 3 4 -2 -3- -4-

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Q: Convert the following number in the indicated base. 6701 to base 15

A: Divide the number repeatedly by 15 until the quotient becomes 0. When 6701 is divided by 15, the qu...

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

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Q: Simplify the expression, expressing your answer in positive exponent form. x³yz5 (xyz-1)-1

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Q: Calculate the arc length of y = 15 – 14x over the interval [1,3]. (Use symbolic notation and fractio...

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Q: 3.9 3.99 3.999 4 4.001 4.01 4.1 f(z) 4.9 4.99 4.999 8.001 8.01 8.1 lim f(1) appears to be O 5 08 09 ...

A: Find the limit of the function at different from the given table .

Q: Convert 7383 to a numeral in base 4. 7383 = D %3D 14

A: Topic:- algebra