(x*y3 y²ảy = 0 + 1)dx + x*z

Q: 1 14. Find the equation of the tangent line to f (x) at the point (a,f (a)) when a = 5. x+5

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Q: Find the limit, if it exists. x²0 - 1 lim - 1

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Q: Sketch the graph of the given function. Use technology to approximate the intercepts, coordinates of...

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Q: Suppose g(-2)=3 and g'(-2)=-4. Let f(x) = x3 + g(x). Find the equation of the line tangent to y = f(...

A: Given,     f(x)=x3+g(x)

Q: Find (6" In(x + 6)). d da

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Q: y = 6 sinx y=6 cos x

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Q: a) t(6??-5-1)ds t 2sdł = 0 %3D

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Q: 2. Problem: Use the encoding formula y = x + 15 (mod 26). 1. Encode: D A W N 2. Find the decoding fo...

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Q: Let H(x) = F(G(x)) and J(x) = F(x)/G(x). Suppose F(4) = 9, F'(4) = -7 G(4) = 3, G'(4) = 0 G(-6) = 4,...

A: Given H(x)=F(G(x))H'(x)=G'(x)*F'(G(x))J(x)=F(x)G(x)J'(x)=G(x)F'(x)-F(x)G'(x)G2(x)

Q: Find the point on the graph of the equation fx=x²-8 that is closest to the point 0,-2|

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Q: 1) Let f(z,y)- . Compute DS(z,y) where u- (4-9)

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Q: lim x+2 Your answer O This is a required question + 21 lim Your answer O This is a required question

A: Explained below 

Q: (x² y3 + 2y)da + (2.x – 20° y²)dy = 0

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Q: g) Draw a graph of z = f-(y) h) Plot the point (b, f¯(b)) where b = -3. i) Why -3? Where did – 3 com...

A: If y=f(x) Firstly find value of x on comparing y=f(x) And we get f inverse And draw a graph

Q: Solve the equation. (Find all solutions of the equation in the interval [0, 2x). Enter your answers ...

A: Cos(a)+cosb=2cos(a+b)/2cos(a-b)/2

Q: dy %3| 6x5-2x+1 dx cos y+ey

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Q: 5. Given the parametric curve x=r - 31 + 2, y=t-r a) Find the equation of the tangent line at the po...

A: In this question we will use basic of calculus i.e application of differentiation. We will use the c...

Q: Differentiate each function and simplify the answer. x) = (x + 3)^(2x – 1)} (factor the answer!!)

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

Q: Find the arc length of the following line. y = 2x + 4; (0,3)

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Q: Use a change of variables or the table to evaluate the following indefinite integral. dx

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Q: 8y Find an equation of the tangent plane at the given point. f(x, y) = (9, –8) (Use symbolic notatio...

A: Given: f(x,y) = 8y/√x  Point: ( 9 , -8)

Q: Bernoulli's Equation Solve (dy/dx) - 4xy = 12xy2

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Q: The transformation of a function f(x) into a function g(x) is given by g(x) = Af(Bæ + H) + K. where ...

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Q: What is the I.F of (x^2+y^2+1)dx+x(x-2y)dy=0

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Q: Evaluate lim(x+ 2)(4x) x2 Answer: 4096 Use the space below to enter the letters corresponding to the...

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Q: f(x) Let lim f(x) = 6 and lim g(x) = - 10. Find lim %3D X→a X→a X→a 9(x)

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Q: 3. Calculate the indefinite integrals for the following functions as integrands (section 8.2): (a) t...

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Q: x2 - 1 :) = x² + 2' refer this time? ag .2

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Q: 5. Use limits to derive f (x) = 4x² +

A: We will solve the problem 

Q: Use the limit process to find f'(x) = limh -->0 f(x+h) - f(x)/ h for f(x) = 3/4x-7

A: Use derivative formula :-   f'(x) =  dydx = limh→0f(x+h)-f(x)h

Q: .2 (a) (-2)5/2 * (h) 172 + ir + 5

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Q: A curve passing through (1, 0) is such that the ratio of the square of the intercept cut by any tang...

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Q: 4 (a) lim f(x) e help (limits) (b) lim f(x) エ→3- (c) lim f(x) r 3+ (d) lim f(x) エ→3 (e) f(3) 4-

A: To evaluate the following limits from the given graph of function

Q: For the function y= -(x^4)+ (6x^2), use calculus to find the following: a) intervals of increase/ de...

A: as per our guidelines, I can answer maximum three subparts of a question. To know rest, please repos...

Q: Evaluate: 81 256 1 lim 3 1 16 + + + + ..to n terms n-0 n 13 3.5 5.7 7.9

A: First of all simplify the bracketed series by carefully observing the series and then proceed so tha...

Q: limit as n approaches infinity of (1-n)/(3n+5)

A: Let's find. 

Q: The integrating factor of the DE 2y(x^2 - y + x) dx + (x^2 - 2y) dy = 0 is O x^2 O 2x O e^x O e^(2x)...

A: This question is based on Differential equation.

Q: 1. Use L'Hopital's Rule to calculate the following limits: (a) lim 0+ gsin a. (b) lim,→1- T/2-sin-1r...

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Q: The position of an object moving along a line is given by the function s(t) = – 6t +30t. Find the av...

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Q: 3. Calculate the indefinite integrals for the following functions as integrands (section 8.2): (a) t...

A: Given: ∫tan2x sec3x dx Rewrite the integrand using tan2x=sec2x-1    

Q: Find the area of the surface generated when the given curve is revolved about the given a x3 y =, , ...

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Q: Consider the quadratic equation ax? - bx +c = 0, a, b, c e N. If the given equation has two distinct...

A: We have to show that a≥5 and b≥11 and find minimum value of c.

Q: Find the average velocity of the function over the given interval. y= - 3x? - x, [5,6] – X,

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Q: EXAMPLE 2 A cylindrical can is to be made to hold 1400 cm3 of oil. Find the dimensions that will min...

A: Is is maxima and minima problem 

Q: (x + xy²)dx +e** ydy = 0

A: Solution: A first-order separable ODE has the form of N(y).y'=M(x)

Q: Question If h(r) = 8x + 8z2 - 3x- 2, what is the a coordinate of the inflection point for the graph ...

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Q: (2x-3y+4)dx+3(x-1)dy=0; when x = 3 and y = 2. Solve for the first-order Differential Equation.

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Q: 32) THE PADIUS OF A CIRCULAR DiSk Is GIVEN AS 24 cm WHTH A MAXIMUM ERROR IN MEASURE - MENT OF 0.2 cm...

A: Let's find. 

Q: O Det crmine the Irngth of the following polar curve. ro -4sine

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Q: When the group of terms in a first-order DE contains y dx + x dy , the following integrating factors...

A: Integrating factor is a function used to solve differential equations. It is a function in which an ...