Describe the interval(s) on which the function is continuous. (Enter your answer using interval notation.) R(x) = -

Q: P15

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Q: Find the point on the line y = 4x + 3 that is closest to the origin. (х, у) %3D

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Q: X- (X)NI X 13g Tol tuods JadW (q )

A: Topic:- derivatives

Q: answer

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Q: 7 6. 4 1 -4 -3 -2 -1 1 2 3 4 5 6. 8.

A: Graph of the function is given, we have to find the function value and limits

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A: The logarithmic expression is given by lnx2yz Formula Used: lnm·n = lnm+lnn, lnmn = nlnm and lnmn = ...

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Q: 3 4. lim = 1 1 х-3 ух — 2 — V4 — х 12. х2 — 1, 2 1 5. lim х-з \x — 1

A: Given that: 4. limx→3x-3x-2-4-x=15. limx→31x-1-2x2-1=12

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A: Given:-The graph of y=f(x) is Note: The values of f(x) can not be observed accurately at each point...

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A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for you...

Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

A: The given limit limx→∞4x-34x+54x+1

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A: We have to find value of c

Q: dy r+1)? dx? d'y +3(х + 1)—— + у%3Dх dx

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Q: 1) Explain how y |x+3-6 is translated from y = |x|.

A: 1. Firstly, y = |x| is translated to y = |x+3| by the transformation, f(x) ----> f(x+3) 

Q: Find the equations of the tangent line and normal line to the curve y = x3- 2x 1+ at the point (0, 1...

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Q: MY NOTES ASK YOUR TEACHER A medieval city has the shape of a square and is protected by walls with l...

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

A: topic - translation of a function

Q: dx Evaluate

A: ∫0919+x2dx

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Q: joe*11 cos(1 - t6) dt 3/2 r6 sin(t*6 + 1) + cos(+"6 + 1) +C None of the choices O 3/2 (*6 sin(-t6 + ...

A: Use of trigonometric and integration identities are used

Q: he limit. Use l'Hospital's Rule if a lim tan(x) x+0 tanh(x)

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Q: Evaluate dx dy in y=cosh(in e") b. 3x sinh (In x') 3x² sinh(In e* ) d. 3x sinh (3x² ) с. a. 3x sinh(...

A: Given:     y = cosh ( ln ex^3 )

Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

A: To find out the limit.

Q: Verify the following general solution, then solve. Find the particular solution to the differential ...

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Q: 2. The Terrapin Candy Company sells its specialty- Turtles made from pecans, caramel, and chocolate ...

A: topic - linear function note: As per bartleby guidelines ,we are supposed to answer only first three...

Q: The transformation of a function f (x) into a function g(x) is given by g(x) = Af(Bx + H) + K. %3D w...

A: Topic = Functions

Q: Evaluate the integral. (If the quantity diverges, enter DIVERGES.) ∞   −∞ x (x2 + 4)2 dx

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Q: Find the derivative of y = arccos 4x with respect to x.

A: Given that: y=arccos4x

Q: - x Find the general solution of the differential equation: dy + ( 2xy 4e dx = 0. What is the integr...

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Q: Find the limit. Enter DNE if the limit does not exist. lim (z,y) → (0,0) z2 + 15y2 Question Help: Me...

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

A: This question is related to function .solve in step 2.

Q: A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the s...

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Q: region bounded by the parabola y=4x-x^2 and the x-axis is revolved about the x-axis. A second region...

A: This is a question related to volume generated by solid revolution. Based on the plotting of graph w...

Q: The table below shows some ordered pairs for an exponential function f. x 0 1 2 3 f(x) 51.2 6.4 0.8...

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Q: 7. The cost of manufacturing x cases of cereal is C dollars, where C = 3x + 4Vx + 2. Weekly producti...

A: We will find the marginal cost, rate of change of cost and rise in cost with respect to time.Below f...

Q: PROBLEM 1: f (x) = 4x + 7 at (2,15)

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Q: 4. Set up the integral for finding the volume of the solid obtained by rotating the shaded region ab...

A: Given:    x = y2 - 4y     x = 2y - y2     Rotated over y = -2

Q: Consider the exponential function f(x) = 58(0.36)x. What is the 1-unit percent change for f

A: We can find the 1-unit percent change for f as below.

Q: 1 3) For which a does converge? Justify your answer. n(In n)e n=2

A: This question is related to series.

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Q: Show that the equation x³ – 3x – 1 has three solutions in the interval [-3, 3]. 1. Let f(x) be equal...

A: We need to choose correct options.

Q: Use the Quotient Rule to find the derivative of the function. f(x) = f'(x) =

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Q: dy y - 5a* – 3x + 2x = 0 dx 2y = 5z + 6z? – 4z ln z + cz 5y = 2z' + 4z? - 6z In z + cz O Option 1 O ...

A: We will solve the given differential equation.Below find the solution in the image.

Q: Consider the function (1 ifz1 Evaluate the definite integral. f(z) dz

A: we have to integrate fx 

Q: 3. (х+1)dy %3D (2хе* - ху-2у)dx

A: Given :   (x+1) dy=(2xe-x-xy-2y)dx