12 lo Slog, clox) dx 10 X

Q: If z = tan d. 6 b ¹ (²) 2 c. d 2 1+z² 1-z² 1+z² then sin x = 22 1+z² None of the choices

A: To find the value of sin(x) in terms of z.

Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

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Q: Find all intervals on which f(x) is increasing. f(x) = x³ + 7x² + 15x + 45

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Q: Use interval notation to determine where f(x)>0. 2. Use interval notation to determine where f(x)>6.…

A: The objective is to use interval notation to determine where f(x)>0. 2 and use interval notation…

Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A: The given integral ∫2x2+4x-3x-7dx use the integral formulas, ∫udu=un+1n+1+C∫du=u+C∫duu=lnu+C

Q: Consider the function f(x) = r? – 5 +4 x + 1 a. Find the first derivative. f'(x) = b. List any…

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Q: Find the arc length of the graph of the function f(x) = ln(cos(x)) ㅠ π [153, 5 Use the tables to…

A: Arc length of y=f(x) on a, b is  L=∫ab1+f'x2dx We have f(x)=lncosx given interval π9,π5

Q: The function f(x) has a domain of [-9, 9] and is plotted below such that the porti of the graph on…

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Q: Determine the area of the shaded region bounded by y=-x² + 6x and y=x² - 2x The area of the region…

A: NOTE: Refresh your page if you can't see any equations. . here we have first, we need to find the…

Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. 92n an = n! (Use…

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Q: y 5 4 3 2 - 2 3 сл 1 2 В 5 6

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Q: Find the length of the Arc length= curve r(t) = (71, 5, √¹4²) for -4 ≤ t ≤ 4. 2

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Q: ess the function G in the form fog. (Enter your answers as a comma-separated list. Use non-identity…

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Q: Determine the exact solutions to cos: O ○ 0=160=² ○ 0-5,0- 7x 0= 6 6 O O 0 7x 6 5x 6 R 0= =,0= 6 11x…

A: We can answer the question in the following steps.

Q: 10. y = In(xtan y)

A:

Q: Consider the following function. f(x) = x² - 4x + 5 (a) Find the critical numbers of f. (Enter your…

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Q: A company that produces cell phones has a cost function of C-52²-1852 +17363, where is the cost in…

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Q: 7/2012 - y x² + y² (²) di dx + (ye³ +2²) dy = 0

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Q: 12. y= tanh(t2 +1)

A:

Q: c) lim f(x), limf(x) y limf(x). -3 -2 -1 4 3 2 0 y = f(x) 2. 3

A: Check for the corresponding values where the graph is continuous and check for both sided graph…

Q: 1. S(√t -√² + ³√³) dt

A: Solution:- Step:1                    1.         ∫(t -t23+t35 ) dt

Q: Evaluate the piecewise function at the given valuesof the independent variable. f(x) = { 5x+3 if x<…

A: Given piecewise function is  f(x) = { 5x+3 if x&lt; 0            { 4x+7 if x ≥ 0 We have to find…

Q: Find dy/dx by implicit differentiation. xy + 2x + 2x2 = 3

A: Given, xy + 2x + 2x2 = 3

Q: J dx 4+x²

A: Given,            ∫14+x2dx

Q: A particle is moving along the curve having the vector equation R(t) = ti+t²j+ tk. Find the vectors…

A: The given position vector is  Rt=t i + t2 j + t k.   The velocity vector is given by Vt=R't=i+2t j…

Q: I need a step-by-step solution, please 2 bn=² ST T S™ sin x sin nx dx

A: To find out the integration given.

Q: = $r(t)dt 5. Use the graph of f(t) = 2t - 5 on the interval [-2, 10] to write the function F(x),…

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Q: 53. y' - y = ex/y

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Q: Calculate each of the following given that: a. b. a-b a x (2b - 3c) |b x 3c| C. d. projac a = 2i -…

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Q: Find the difference quotient f(x+h)-f(x) for f(x) = x² - 4x. h

A: Here is the solution:

Q: Is the following piecewise function continuous? if x < 0 0<if x < 3 if 3 < x f(x) = -3x² x - 3, . -x…

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Q: (1+x²)y' + 2xy = (1+x²)y

A: Given problem:- 1+x2y'+2xy=11+x2y

Q: 1.Use interval notation to determine f(x)

A: Concept: The graph of a function: The graph of a function is the set of all points (x,y) in the…

Q: 56. 1 dx V1+9x2

A: Given, ∫dx1+9x2

Q: .Use interval notation to determine where f(x)>6.

A: We have to find the intervals when f(x)&gt;6.

Q: 7. Simplify the radical expression √7 a) 26 b) √35 c) 14 d) 196

A: The given radical expression is 7×28 use the algebraic properties, am×bm=abm

Q: (4) (d) 2-7 dx 4x-2 x²-1 (4) (e) S 7x (4x²+5)3 dx

A:

Q: Find the solution to the differential equation that passes through the origin. z(t) = dz dt = 6te42

A: dzdt=6te4z⇒e-4zdz=6tdtIntegrating both sides we get,⇒zt=-ln-12t2-c14

Q: Differentiate the following. Do Not Simplify. y=(sin x)(lnx) b) y = (e² + √√cos x) c) y = = a)…

A: To differentiate the following.a y=sin xln xb y=ex+cos x37c y=1-tan x3x3

Q: 1 1 X

A:

Q: Evaluate I se sech¹0d0. 4

A: We have to find out integral

Q: onvert the following to rectangular coordinates and spherical coordinates. Do not evalua tegral.…

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Q: QUESTION 4 Given the following function, find the values of f (5,2). x f(x,y) = 5 + xln(xy-9) O A.…

A: We can answer the question as below.

Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

A: Given in the figure A1 = 7 , A2 = 3,  A3 = 2  and A4 = 2. Concept:-  If In [a,b] y = f(x) ≥ 0 then…

Q: Compute the length of the curve r(t) = (-4t, 5t — 3, -2t + 3) over the interval 0 ≤ t ≤9 L =

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Q: Given that answer= 5 f(x) dx = 3' what is 11 f(w)dw?

A: Property of Integral : 1.∫abf(x)dx=I ⇒ ∫abf(w)dw=I   2.∫abf(x)dx=I ⇒ ∫baf(x)dx=-I

Q: S 3 T 2 For the above rational function f(x)= 3 Q 17 2x² +2.5 . identify the interval on which f is…

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Q: -4 -3 -2 -1 -5-4 5 4 3- 2+ 1 -Y -2+ -3+ -4+ -5+ 2 3 4 5 X

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE. Round your answer to four…

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Q: The area of the région bounded by the curves f(x) = x² + 1 and g(x) = 2x + 1 is best described by:…

A: