g8) = 6x34 54x2+90X Is the graph of g) gx) at X= -12 the graph of ga)is concave up orconcaue down at X = -1 concave Does the graph.of ga ha ve a local minimum or at x- -1? at x= -1 there is alocal locap maximum

Q: n (a) an = (-1)" n+1 (b) an Vn +1 In(n®) (c) an = 2n

A: This is a problem of series and sum calculator. By using several available method we will determine ...

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A:

Q: 4) Factor fully. a) x3 + 4x² + x – 6 b) 2x3 – 9x² + 7x + 6

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A:

Q: Solve simultaneous equation dx/dt=x+y , dy/dt=4x+y , t=0 , x=2 , y=5

A: First I have written the differential equation into operator form and then reduce it into linear dif...

Q: Use implicit differentiation to find the 2nd derivative of x2 y + y2 x=-2

A: By using implicit differentiation to find the 2nd derivative of x2y+y2x=-2.  

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A: topic - trigonometric identities

Q: 5. y = xArctanx - In VI+x

A:

Q: Integral of tan^5(x) dx Show Complete solution

A: This is a problem of differentiation. By general formula we will solve the question. Assume, secx = ...

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Q: Bernoulli Equation (17) y'+ () y = x³y³ (18) y' + 3x²y = 4x²y² (19) (x²yª – 1)dx + x³y³dy = 0 (20) x...

A:

Q: 4) 98)=(40*– Bu) 5 %3D -

A: Given that      g(u) = (4u7- 8u)-5

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A: We have an expression: P(t)= 100(1-e-0.1t)

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A: From the equation of the tangent line we can deduce that the slope of the radical line would be -1/4

Q: 6. Use the Method of Substitution to find the indefinite integrals: et*dt b) /; 9 xp=

A:

Q: c). Classify the equation below with all the possible characteristics and properties of a differenti...

A: General form of Linear differential equation of first order and first degree is given by dydx+yP(x)=...

Q: Given Cost and Revenue functions C(q)=q3−8q2+52q+5000 and R(q)=−3q2+2500q​, what quantity minimizes ...

A: Minimize marginal cost

Q: Find the minimum and maximum of the function in the specified interval. 1. f(x) = x² - 6x + 9 on [1...

A:

Q: Consider the points A(1, -1,4), B(2,-3, 2), C(-1, -2, 2), and D(4, 3, –6). (a) Find the volume of th...

A: The answer is shown in step 2.

Q: dx - = In[F(x)]+C.What is F(/3) if C = 0? For (x+x³)(x Tan-'x+ 1) + Sl- SI- STE SE

A: I am attaching image so that you understand each and every step.

Q: The expression below is an evaluation of which integral? * 1 6 2æ + 2 In|æ| 2 In|æ – 3|+c | 523 + 62...

A: Using partial fraction. 

Q: 5. Find the area bounded by the curves y = x2 – 2x and y = 5x. Give exact answer.

A:

Q: 5. y = XArctanx - In Vi+x

A:

Q: Find divergence the vector A (div A) where (A=xz^2+ 3xyz) at a vector (1, * 2, -1)

A: Let's find. 

Q: Which of the following is an improper integral?

A:

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

A:

Q: If cos? 0 – 3 cos 0 +2 = sin² 0 and 0 an acute angle, then the value of (4 cot 0 + 2 csc 0) is 8. 3 ...

A: Given query is to find the value of indicated expression.

Q: Find r²e* dx.

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: In (n/e) S(2- sec?x) m® sec³x -dx What should be the value of A for to be integrable using the formu...

A:

Q: dx For (x+x³) (x Tan-'+1) =»[F(x)]+C. What is F(/3) if C = 0?

A:

Q: We wish to evaluate the following intogral 10 -12xe de We will accompliah this using Integration by ...

A:

Q: 3. Which of the following is an improper integral? -dr -4 x²–x- 2 А. In3e COSX хе 'dr В. dx c. 2x+ 8...

A: Given problem:-

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

A:

Q: 3. Evaluate the definite integral. Give exact answers S(x² + 2x – 4)dx - a. ~2 2x+1 dx Vx2+x-2 b.

A: Take integration. Follow step 2nd . 

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

A:

Q: True or False: To evaluate the integral dz, 9. we use substitution withr= 3 sec 0, where Select one:...

A: Option B

Q: y'dx +e* dy = 0 e* +y =c Ans.

A:

Q: Find d of the function given implicitly and evaluate the derivative at the given point. y = sin ( 6x...

A:

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: cost

A: Please refer to the image below

Q: 1. List the first five terms of the sequence (-1)"-1n An n! + 3 n > 1.

A: We have to find first 5 term of Given sequence.

Q: Find the vector component of v = (4,–1, 7) along b = (1, 4, -8) and the vector component of v orthog...

A: Given: v=4,-1,7 & b=1,4,-8   We know that; The expression for the vector projection v onto b is:...

Q: dx Vx

A:

Q: (1x) +3 . Is-3 Check the continuity of f(x) ={-2x , -3 <x< 3 12 3 (6x + 2 ,

A: Here we have to check the continuity of the given function f(x).

Q: In the expression 5 +2 tan(30 + ) = 3 where 0 < 0 < a, then 0 in radians will be i. 36 17z ii. 36 29

A: topic - Inverse trigonometric functions

Q: [(2-sec²x) elnate sec³x dr What should be the value of A for to be integrable using the formula 'du ...

A: Let's find. 

Q: he function C(x) = 0.002x² + 80x + 8000. (a) Find the average cost function C. C = (b) Determine the...

A: Topic:- application of derivatives

Q: Find the derivative of the function. %3D y = /x(x – 3)² y' =

A:

Q: Let {an}=1 be a convergent sequence such that a1 = V5 and an+1 V5 an. Compute lim an.

A: