dy for the function y= Find dx (x-1)(x-2)* (x-3)' at @x = 4.

Q: The derivative of a function F(x) is f(x)=4x3. If F(x)= 10, what is the constant of integration? a.…

A: Topic:- function And its antiderivative

Q: 1.) Which of the following are TRUE about differentiable function: I If rx) exists, then the…

A:

Q: Find the domain and the vertical asymptotes, if any, of the following function x²-3 x²+10x+21° O a.…

A:

Q: Sx? cosh 5xdx

A:

Q: (5) Suppose m and bare constants. What is the linearization of the function f(x) = mx +b at any…

A:

Q: dy Solve of x°y4 – 6e(2-y) = 3. 12e(2z-v) –3r2yA 4 A. y' %3D 6e(2z-y) +4x³y³ B. y' 2e(2z-y) – 3z²y4…

A:

Q: A bacteria culture starts with 1,200 bacteria. Two hours later there are 1,920 bacteria. Find an…

A: A bacteria culture starts with 1,200 bacteria. Two hours later there are 1,920 bacteria. To find an…

Q: 7. Evaluate sin xcos x dx. cos* x +C 4 1 C) 4 sin* x A) +C 1 sin* x B) 4 cos* x +C D) +C 4 a O c O d

A:

Q: sin* x cos? x dx

A: To find out the integration.

Q: Evaluate the following. Give an exact answer, not a decimal approximation (a) csc 2 (b) sec (c) cos

A: Topic:- trigonometry ratios

Q: S csc6 3x dx 9° S cot5 x dx dx cos* 6x

A: We know that csc2θ - cot2θ = 1 sec2θ - tan2θ = 1

Q: 9. Determine whether the given integral is convergent or divergent: 1 dx? (4-x)5 a. convergent b.…

A: integration

Q: The series 2" (n!)2 n=1 is divergent. Select one: True False

A: The given series is a 2n/(n!) 2. Repost the next question.

Q: The answer is incomplete and should be pi/4. How can I get to that answer?

A:

Q: 12. S. 4 3x+2

A: 12) ∫43x+2dx

Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

A:

Q: 3 14- Find L {r'} for (a)n="; (b)n=;:(a)n= 15- Find L[e" t 2 2

A:

Q: answer

A: We will find the second derivative.

Q: Where did you get 30 and 60 from?

A: Given

Q: v5-x dx

A:

Q: why did we put x = 1? the final answer i got is 49/e, please double-check

A: After double checking the detailed solution is given below

Q: 2. The Auxiliary Equation : (4D* – 4D' – 23D² +12D+36)y = 0

A: Given: 4D4-4D3-23D2+12D+36y=0 So, 4m4-4m3-23m2+12m+36=0

Q: 5x+9 e

A: We need to evaluate the following integral I = ∫e5x+9dx                           ........1 Formula…

Q: use the first fundamental theorem of calculus

A: To solve the following problem

Q: The following series is divergent: n5-2 Σ 5n4 n =1 Select one: O True O False

A:

Q: How many integers from 200 to 2000 inclusive are multiples of 4 or 15?  (e) Suppose an integer from…

A:

Q: Use this definition with right endpoints to find an expression for the area under the graph of f as…

A:

Q: What is the volume generated by revolving about the x axis the area bounded by the y = 2x + 1, y =…

A:

Q: how did you get infinity

A: we need to know that limx→∞(x)=∞ and limx→∞x2=∞and∞=∞

Q: Find the domain and the vertical asymptotes, if any, of the following function x-9 x2+10x+21 ' a.…

A: Given

Q: FEx) = 1+e siny x fCx) f'ca) = fco) = - fくb) = fCl-2) = = -15 e sin4X- se"cos4X 8 LN %3D %3D %3D…

A:

Q: Differentiate f (x) = 7 (2-60+3). A. f' (2) = a2-6x- 3 B. f' (x) = In(7)(2x–6)7™(=²-6z+3) x2-6x+3…

A: Differentiate f(x)

Q: dx x2 – 6x + 10

A: We can find the integration as below.

Q: It has to be one of the answer options.

A:

Q: 1. Find the volume of the solid generated by revolving about the indicated axis the area bounded by…

A: We can solve this as follows:

Q: After a person takes a pill, the drug contained in the pill is assimilated into the bloodstream.…

A:

Q: In the differential equation (2x+3y-5)dx+(3x- y-2)dy=0, the lines 2x+3y-5 =0 and 3x- y-2 =0…

A: This question can be solved using the concept of solving two linear equation.

Q: 4. Compute (a) 4 S"(3t2 – 4)z dx - dx 'x (b) x1+t² 4 dt dx -x 1+t2 d

A:

Q: Determine whether the function has a limiting value. Find the limiting value if it exists.  f(x) =…

A:

Q: Find the slope of the line tangent to the conic section 25 (х-2)2 (y-6)2 = 1 at (2,10). 16

A:

Q: xdx z Vx – 1

A: To evaluate: I=∫210xdxx-1 Substitute x-1=u⇒x=u+1 & dx=du as x→2⇒u→1 & x→10⇒u→9 So,…

Q: The figure shows a scale drawing of a water feature and a coin pond that are being installed in a…

A:

Q: The following series is divergent: 3n 3n Зп — 6. - 3 — 2п | n=1 Select one: O True O False

A:

Q: Is it possible to write it in a piece of paper for a clearer solution? thank you!

A: The given question can be solved using integration by first applying substitution and then applying…

Q: (1) If x=t*2 +1and y= t*3, then the second 3 (4t) Option 1

A:

Q: The answer is not -900. Please give me the correct answer.

A:

Q: I cannot see the full solution for this question, and would like to better understand the…

A: We can solve this as follows:

Q: Question 2 Figure Q2 shows a rectangular enclosure formed by a straight wall AB and a fence CDEF of…

A:

Q: THE

A: Please refer to the image below

Q: For items 14-16. Solve the following systems of inequalities graphically. x- ys 2 14. x+ys 2 X2 - 2…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…