Solve the inequality. x-3 x+1 >0 O (-00, -1) (-00, -1) or (3, o) O(-1, 3) O (3, )

Q: 2. A rocket is launched in the air. Its height, in meters above sea level, as a function of time, in...

A: Given that a rocket is launched in the air. Its height , in meters above sea level as a function of ...

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Q: Let a, b be real numbers and consider the integral (ax² + b) cos(x)dx. Using integration by parts wi...

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Q: Joey plánted a tree in his yard. At the time of planting the tree was three years old and measured 0...

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Q: 10* -dx may be written as Aln secB*+ tanB*| +C. where A, B, and C are constants not equal to zero. E...

A: ∫10xcos 10xdx Substitute 10x=u⇒10xln 10 dx=du⇒10xdx=1ln 10du =∫1ln 10ducos u=1ln 10∫sec u du=1ln 10l...

Q: =[in(4-x cos (r4

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Q: To evaluate the integral dx x+5x+6 we use the partial fraction decomposition of the integrand. Selec...

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Q: Use the First Derivative Test to find relative (local) maxi points, if any, of the given functions. ...

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Q: I. Solve the following: 1. Given: y 2x - Find: a.) dy/dx b.)y" 2. Given: 16y – 9x = 144, find y"

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Q: 10. Two numbers sum to 100. How small can the sum of one number and the other number be? square of t...

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Q: 6. Evaluate the improper integral 3dx. Use limits as needed. Give exact 2 answer. . 3

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Q: CHAIN RULE DERIVATIVES Date Directions: Differentiate the given functions. 2.) G(X) - T52"

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Q: 4. Determine where V(z) = z*(2z – 8)³ is increasing and decreasing.

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Q: 10. f"(t) + 3f'(t) + 2f(t) = 0; ƒ (0) = 1 and f'(0) = 0 %3D %3D

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Q: Sx-² csc³ () cot () dx A) csc* (?) + c B) – ; csc° (*) + c c)금 csc* (2) + C D) – csc* () + c - 12 E)...

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Q: s, if any, of the given functions. De ion is increasing or decreasing. y = = x' - x

A: We will find the maximum and minimum value. 

Q: CHAIN RULE DERIVATIVES Directions: Defferentiate the given functions. 4) glx) - (Aut - Bu)

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Q: The slope of the tangent line at any point (x, y) on a curve is 2vx. If the point (9, 3) is on the c...

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Q: Question 3 The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies ...

A: ∫-b-a1+xfxxdx = ∫-b-a1xdx +  ∫-b-afxdx = lnx]-b-a + ∫-b-afxdx Given ∫fxdx = Fx and Fx is odd functio...

Q: cos2x - sin2x cos2x For dr==F(x)+c What is F(x)? COSx - sinx O (cscx- secx) 3 2 2. sinx +-cos'x+cosx...

A: Given:          ∫cos2x-sin2xcos2xcosx-sinxdx=13Fx+C      =∫cos2x-sin2xcos2xcosx-sinxdx   Expanding t...

Q: Use the price-demand equation below to find E(p), the elasticity of demand. x= f(p) = 9600 – 6p- ......

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Q: Consider the function fix) - sin x. Complete the table below and sketch its graph. 011/6 11/2 Sn/6 7...

A: Solved below

Q: Use the First Derivative Test to find relative (local) maximum points or minimum points, if any, of ...

A: Given problem:- Use the First Derivative Test to find relative (local) maximum points or minimum poi...

Q: Find the diameter of the of the circle with center at (-5, 3) and tangent to the line 8 – 2x = 2. 2 ...

A: Solution: center (h,k) = (-5,3) tangent to the line x-axis 8-2x=2 so, x= 3 &y=0 (3,0)

Q: 2 Determine the equation in the form (x) kx for the function with a vertical %D asymptote at x = 1 a...

A: The function with vertical asymptote at x=1 and y-intercept at -1.

Q: dx - = In[F(x)]+C•What is f(/3) For if C = 0? (x+x³) (x Tan-!x+ 1)

A: A detailed solution is given below

Q: 1. The asymptotes of hyperbola H have equations l1 : 3r-4y+11 =0 and (2 : 3r + 4y-5 = 0. Let C be th...

A: A)l1 : 3x-4y+11=0l2 : 3x+4y-5=04y-11 = 5-4y8y =16y = 23x-4y+11=03x=4(2)-113x=-3x=-1The point of inte...

Q: Find lak| for the series. 00 k k k + 12 k=0 (Express numbers in exact form. Use symbolic notation an...

A: The series ∑k=0∞kk+12k

Q: Substitution Method (15) (x² – y²) - xy = 0

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 3j + 6k and the vector component of v ort...

A: The vector component of  v along b is the projection of vector v onto b is projbv = v.bb2b . The vec...

Q: True or False: If dx =In|x-3|+B In|x+2|+C %3D (x-3)(x+2) then B = 5° Select one: O True O False

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Q: Given cost and price​ (demand) functions C(q)=120q+44,200 and p(q)=−1.9q+880​, what is the marginal ...

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Q: The expression below is an evaluation of which integral? * 1 2 + 83 In|w| In|u² + 9| +c 18 2+ w4 dw....

A: option 3 is correct, see the solution, please thumbs up, if your doubt is cleared.

Q: 2. A pharmaceutical company is testing a new drug. After a person takes Ao mg of the drug, the amoun...

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Q: 3 Determine the equation in the form f(x)%3= for the function with a vertical kx - c asymptote at x ...

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Q: The integral dz is equal to 2e + C. Select one O True OFalse

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Q: Find the area of the region bounded by the curve y=1--x2 and the x-axis. 9.

A: We will find the area of the region. 

Q: d?y - =6– 9x and which passes through the points (0, -1) and (2, 3). Find the equation of the curve ...

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Q: To evaluate the integral xp Jx²+5x+6 S we use the partial fraction decomposition of the integrand. S...

A: Find your answer below 

Q: if 1 square unit = 10 square meters, and 1 liter of paint that costs 200.00 pesos can cover 13.33 sq...

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Q: (cos(2x) – sin(2x) cos(2x)) cos(x) – sin(x) For -dx%3D +C. What is F (x)?

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Q: cos2x – sin2x cos2x dx3D -C. What is F(x)? For cosx – sinx

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Q: 人 こ 5

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Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

A: Solved below

Q: Using the separation of variable method, solve the following differential equations dy а). = x³ y? %...

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Q: 2. For the line through P(3, 2, – 1 ) and Q( – 2, 1, – 4 ), determine each of the following : a) vec...

A: For the line through P3, 2, -1 and Q-2, 1, -4, to determine each of the following: a vector equation...

Q: I Find the second derivativety") of the following functions and simplify the final results. 1. y= x-...

A: Let's find. 

Q: Given cost function C(q)=q3−135q2+26000q​, what is the minimum average​ cost?   It would be ​$enter ...

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Q: Determine the convergence or divergence of the following series. 1 (a) Σ (Use Integral Test.) n(ln n...

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: dx - = In[F(x)]+C• What is f(/3) if C = 0? For (x+x³) (x Tan-!x+1) 3 6. V3 +

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