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Q: A graphing calculator is recommended. x² - 1 Let f(x) = x2 + 1 (a) Find f'(x) and f"(x). f'(x) = f"(...

A: Here, the given function is: f(x)=x2-1x2+1

Q: Evaluate: J(3x+ 1)°dx - Blank 1 (use small letter, no space) Blank 1 Add your answer

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Q: To evaluate the integral expression sin-(vVx )dv, using simple substitution dv = f (x) dx, Determine...

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Q: -x+1 dx Evaluate: A в 2 +-x 2 2 2,/½.2,½+22+c D 3 E) none of the given choices

A: Solution: ∫x2-x+1xdx

Q: (-x+ 2, x 0 not, why?

A: The given function is: g(x)=-15x+2,  x<0-2,            x=0x+2,         x>0 From the definition...

Q: dx 4+e-* (A) A 4+e-* B D 4e* +1 (E) None

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Q: Identify the location and value of any relative maxima or minima of the function. 7) 7) ++>

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Q: dy of y = (t + 6)(t +5)(t + 3) 1 Use logarithmic differentiation to find the derivative,

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Q: company's profits if marginal profit is​ $0

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Q: Given cost and price​ (demand) functions C(q)=110q+40,400 and p(q)=−1.8q+890​, what profit can the c...

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Q: Given Cost and Revenue functions C(q)=q3−10q2+56q+5000 and R(q)=−3q2+2400q​, what cost is incurred...

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Q: The graphs of the functions f and g are shown in the figure. y 4 f 1 -1 1 2 3 4 6. f(x) Let u(x) = f...

A: topic - functions and derivatives

Q: tan -15t sech le tan –15t Evaluate: 1+25t2

A: We have to find the definite integral

Q: 2w²+9w+ 1 - w+4 dw is the same as

A: Here's the solution, please have a look at it: Answer: option c  Approach:

Q: The curve below is called a serpentine. Find an equation of the tangent line to this curve at the po...

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Q: The antiderivative of Cos(3x) jis

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Q: Evaluate: Sv*+sin/x dx. A x+2cos/x+ C 2x+ cosx B + C 2

A: We have to solve the integral

Q: Show u and du. Show solution

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Q: If o functions F & G are both antiderivatives of the function f. the F (x) =G (x). two A) True False

A: topic - functions

Q: Find f'(x) and f"(x). f(x) = (x3 + 1)e* f'(x) = f"(x) Need Help? Read It Watch It

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Q: 2w²+9w+ 1 dw is the same as w +4 A dw w +4 2w +1+ 3 dw w +4 B 2w – 1 - 3 dw w+4 2w +1- 67 dw w +4 2w...

A: Given that           ∫{(2w2+9w+1)/(w+4)}dw

Q: equaton of a line contain iwig the poent (1,7, -3) and parallel to the yz-plar 2 Find an

A: We will find the equation of line. 

Q: Vx + sinyx Evaluate:

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Q: Evaluate: | tan(4x + 3)dx i -In |cos (4x+3)|+C A COS 4 В 4 - In |sin (4x + 3)|+C In |csc (4x+3)|+C D...

A: Given: ∫tan(4x+3)dx =∫sin(4x+3)cos(4x+3)dx Substitute : cos(4x+3)=td(cos(4x+3))=-4sin(4x+3)dx=dtdx=-...

Q: A mass on a spring vibrates horizontally on a smooth level surface (see the figure). Its equation of...

A: The objective is to solve the above questions.

Q: The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres), an...

A: Explained below 

Q: Question 1 The coefficient of Sec(x) when J (tan(x) – sec(x))*dx was evaluated is Blank 1 (use numbe...

A: Explained below 

Q: e5 + - s*) dx= 5*+1 +C I + 1 5 A) True B) False

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Q: 2w2+9w + 1 -dw is the same as w +4 5 A 2w +1+ dw w +4 B | 2w – 1- 3 dw w +4 2w + 1- 3 dw w +4 67 dw ...

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Q: sin- In?| 4+ tan-'cos- dx 2 COs- 1+ cos 4+ tan-'cos In2 4+ tan-'cos- dx 2 2sin- 2 (A) 4+ tan-'cos- 2...

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Q: The antiderivative of Cos(3x) is Blank 1 (use small letter no space)

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Q: For the following, use the information provided to solve the problem. (7) Let w(x,y,z) = xy cos z, w...

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Q: Se 2x2+ 2х +1 dx. х+1 Evaluate:

A: We will solve the integration. 

Q: tan - 15i sech(ekan-151) dt Evaluate: T+2512 A 2 tan ,tan -15t +C 5 B -tan -le tun -Ist 5 -151 +C C)...

A: Integration

Q: xdx Evaluate: 5+x2 A In(x²+5)+C x²+5 (B) In +C 2 None of the given choices D 21n(x²+5) +C E In(/x²+5...

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Q: IX. sin (2x)dx by using walli's formula. a is equal to ? 29. A.0 В.1 C.2 D.pi/2 The definite integra...

A: Let's find. 

Q: Find the coordinates of the point/s on the curve y = 2x? which are closest to the point (9,0).

A: We have to find the closet point to the point    (9, 0) 

Q: 9. What is the axis of symmetry for a parabola that 10. The axis of symmetry of a parabola is x = -2...

A: 9. The points are (-2, 4) and (10, 4) Notice that: the points have same ordinate, i.e. 4 So, the mid...

Q: i learn.hawkeslearning.com/Portal/Lesson/lesson_certify <- Save & Exit Certify Lesson: 3.1 Product a...

A: We have to find out the points

Q: Research five'examples of the use of extreme value theorem in real life. Write your answers on a sep...

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Q: In the integral, cos?tsin2tat , the correct u using general power formula is; (A) sint B sin(2t) sin...

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Q: sin³ydy 1+cosy A 1+ cosy B 1- cosy c) siny D) sin³y E None

A: The objective is to evaluate the correct option.

Q: dy x + ( 1+x)y = e -x sin2x dx

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Q: X x²dx 5+ x2

A: Find the integral

Q: C. CONTINUITY .Below is the graph of f (z). For each of the given points determine the value of f (a...

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Q: -1< x< 2 3 Consider the function f(x) = x = 2 4- x 2 < x< 3 |1 x2 3 (a) Sketch f(x). (b) Discuss the...

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Q: Find the indicated derivative by finding the first few derivatives and recognizing the pattern that ...

A: Let y = sinxSoy'=ddxsinx=cosxy''=d2dx2sinx=-sinxy'''=d3dx3sinx=-cosxy''''=d4dx4sinx=sinx

Q: Improper Integrals w/ Partial fractions, Integration by parts and u - su L y e-3y dy Зу 11.

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: |(3x + 1)2dx = Blank 1 (use small letter, no space) Evaluate: Blank 1 Add your answer

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Q: If two functions F and G are both antiderivative of the function f then F(x) = G(x). A True B) False

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