. Find equations of the tangent lines to the curve x-1 x+1 that are parallel to the line x - 2y = 2. y =

Q: If f ( x ) is a linear function, f ( − 2 ) = 0 , and f ( 3 ) = 2 , find an equation for f ( x )

A: We have, f-2 = 0f3 = 2 To determine: The expression of fx if it is a linear function.

Q: original variable. (4)/2√2-1 (a) y³ (b) √ (y² + 1)³ dx dy (c) (d) [²v S Cπ/2 ¹ √1+e-x ex π/4 cotx dx…

A: The objective of the question is evaluate the indefinite integrals .

Q: 57-62. Transcendental functions Determine the end behavior of the following transcendental functions…

A: As per the guidelines we are supposed to answer only one question at a time. If you want answers of…

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A: Given data:- The equation of a solid parabola, y=x2-6  The equation of the dashed line,  y=5x

Q: Find the formula for the graph of the function f(x) given in the graph above. f(x) = 5sin(pix)+2 AN…

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Q: (x + y + 1) dx + (2x + 2y + 1) dy = 0 Give the: a. homogeneity b. degree c. reducible…

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Q: 10. S π/2 cos x dx (sin x)√√sin²x-(1/4)

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Q: If z = (x + y)e" and x = 7t and y = 1- t², find the following derivative using the chain rule. Enter…

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Q: 1. Calculate the following limits (showing all working): log₂ (n) + 2n no log3 (n) + 3n (a) lim √7n7…

A: We have to find the limits.

Q: Find the area of the region that is enclosed by the card 10+ 10 sin 0. OTE: Enter the exact answer.…

A: Topic:- application of integration

Q: Let g be a differentiable function of two variables, with first variable x and second variable y,…

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Q: 1. (2xy-3x²) dx + (x² + 2y) dy = 0

A: Given 2xy-3x2dx+x2+2ydy=0

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Q: Free fall. In dropping a stone or an iron ball, air resistance is practically negligible.…

A: Given     Acceleration of gravity, g=9.80 m/sec2=32 ft/sec2 At t=0, v=y'=0

Q: 6- 5 2- 1 1 2 3 Based on the graph above, estimate to one decimal place the average rate of change…

A: As we know  Average rate of change of function fx in interval a,b=fb-fab-a

Q: PROBLEMS A. HE POSTED F(x) = x² +3 X a) Solve wing quotient rule. b) manipulate the function…

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Q: Answer

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Q: π/2 π/3 esec 2 x (sec 2x)(tan 2.x)dx

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Q: dy Find when y = a dx (a) (b) (c) (d) 2bx x4 + b² Arctan Arctan(2) 2bx ln a _ Arctan x4 + b² x In a…

A: Given y=aArctanbx2

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A:

Q: Use the graph to determine (a) open intervals on which the function is increasing, if any (b) open…

A: Use graph to determine

Q: Question 4 Find the limit: lim, o O infinity O O (E) 1 O-1 0 0 sin(x²)

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Q: Evaluate the following integrals 16 ³√/1+√√/x dx √x a) 16 b) S dx x+Vxn-m where m and n are natural…

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Q: 3 dx - (3xsiny + 2ysiny-2) dy=

A: Let's solve given differential equation.

Q: Consider the function f(x) = sinx near x = πt. Find the linear approximation error when using the…

A: Given data:- The given function, f(x)=Sinx     x=π

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A: This is a problem related to exponential function. Please follow the procedure given below.

Q: Make an ORIGINAL EXAMPLE OF "Variable Separable" A) GIVEN B)SOLUTION C) ANSWER D) WITH EXPLANATION

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Q: Question 6 Given f(x)=√, g(x)=x²-1, x > 0. Find the value of f (g (3)). O 2√8 O (E) O 2√2 O√3

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Q: (x - y - 1) dx - (4y + x) dy = 0 Give the: a. homogeneity b. degree c. reducible homogeneous…

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Q: Define g(-5) in a way that extends g(x) = x² - 25 x + 7x + 10 to be continuous at x = -5.

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Q: ax b.) Find explicit solution for the given initial-value problem (b₂)} \ 1 + x²) dy + × ( 1 + 4y ²…

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Q: X If z = tan € Y y=u²v², find the following partial derivatives using the chain rule. Enter your…

A: Here we have to find the partial derivative.

Q: let a and b be integers such that 7 divides both a+3b and a-2b. Show that 7 divides a

A: Given 7 divides a+3b and a-2b  Then 7 divides (a+3b)+(a-2b)= a+b  And 7 divides (a+3b)-(a-2b)=5b…

Q: π π €). Calculate E 2 d dxsin (x) (x) eta

A: Topic:- application of integration

Q: d²y dx² x = csc² (at) and y = cot(at), Find given the set of parametric equations (a) -tan² (at)…

A: Solution )

Q: Find 원 when ax + cos(by) = c, where a, b and c are constants. b (a) —-cscy (c)csc(by) b (b) -…

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Q: Find the function y = f(t) passing through the point (0, 10) with the given differential equation.…

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Q: If z = (x + y)e" and x = u² + v² and y = u² — v², find the following partial derivatives using the…

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Q: The daily cost (in dollars) of producing LG ultra high definition televisions is given by 5x340x² +…

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Q: Directions: Consider the following function f(x). f(x) = 4x² - 3 Part 1 - Difference Quotient If h =…

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Q: Solve the ODE d²c dt² dc +4 = -2C dt at C(0)= dc dt = 1

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Q: 3. (y²-2xy +6x) dx- (x²-2xy +2)dy=0

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Q: lim TL 0-4 tan 0 0

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Q: Question 9 Find the limit: lim, 7 O(E) O21 9 07 O 3

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Q: k²-4 Find k so that -In³ (kx + x) = - dx -In²(kx+). kx+1

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Q: Find the scalar equation of the line = (-3,4)+1(4,-1)

A: Given query is to find the scalar equation of the line.

Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

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Q: Compute the partial derivatives: z = ln(x3 + y7) о дz ?x Oz ду || о

A: Given query is to find the Indicated partial derivative.

Q: Find the first partial derivatives of the function f(x, y, z) = 3x sin(y-z). 1. 2. 3. af Әх of ду af…

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Q: The velocity of an airplane flying into a headwind is given by v(t) = 30 (25-12²) mi/hr for 0 st≤ 3…

A: