3 Evaluate: (12t3 – 12t2 + 6)dt

Q: 1 S dx 1+x3

A: First we take partial fraction.

Q: Find the Maclaurin series of the function. f(x) = In (1 – 6x) %3D Choose the Maclaurin series. In (1…

A: Given:      Maclaurin Series for fx=ln1-6x   A Maclaurin series is given by fx=∑n=0∞fnan!xn   So,…

Q: 15 The population of a district is 600 000 at the beginning of 2015. The population P(n) of the…

A: We need to find A,r and % increase.

Q: A builder must fence all sides of 3 adjacent rectangular lots, each having 168 m2 of area. Front…

A:

Q: Use algorithm to sketch the curve given by the function f(x) = 1 4 x +2x2 +1 [A:6] a) Determine the…

A:

Q: | (u + 2)(3u + 4) du :

A:

Q: Suppose that the functions g and h are defined for all real numbers x as follows. g (x)= 4x+4 h (x)=…

A:

Q: Question 170 Calculate f 3 in x.cos x dx. (a) 3sin x cos x , In 3 (b) 3cosx . In 3 (c) 3sin x. In 3…

A:

Q: 1. ſ f(x)f'(x) dx 2. S Vx³ dx 3. S csc?x dx

A:

Q: Find the absolute maximum and absolute minimum values of the function f(t) = t – VE on the interval…

A:

Q: Evaluate

A:

Q: Evaluate the definite integral: = rp |I – ,7|

A: Given: I=∫05x2-1dx   From the rule of inequality; x2-1<0 when -1<x<1x2-1>0 when x>1…

Q: dy 7. S- y vy2 -6y + 5

A: Here we have to integrate the given Integral.

Q: Suppose that f is a function given as f(x) = 5x 1. Simplify the expression f(x + h). f(r + h) = f(x…

A: Given query is to find the derivative of the expression.

Q: Find the derivative of the function F(s) = In(9 ln(8s)). F'(s)

A:

Q: х—1 dx x4-1

A: Solution of question is written in below steps.

Q: .[[bx2-5]dx = 2x³ 5]dx = 2x3- 5x + C

A: The objective of the question is evaluate the value of "b".

Q: - 5 2x +1 Calculate the derivative function of g(x) Write your result as a single fraction. g'(x) ||

A:

Q: Determine the area bounded by

A:

Q: (6e + 6x°+ 4 cos a + 2)dx 6e + x° + c 4 cos a + 2x +

A: Since this is a multiple question, according to the Bartleby answering rule, only first question is…

Q: The amplitude of y = sin x is ____________________ units.

A: Topic = Functions The amplitude of y = sin x is 1 unit.

Q: Evaluate the definite integral: - 6 e!/I dx

A:

Q: Find the limit. Use l'Hospital's Rule if it is appropriate. If there is a more elementary method,…

A: Find your answer below

Q: Find the limit. Use l'Hospital's Rule if it is appropriate. If there is a more elementary method,…

A:

Q: Solve the differntial equation y"-6y'+9y= t^2 e^3t , y(0) = 0, y'(0)=17 using the method of…

A:

Q: Find the determinant of the matrix, a b d e 5g 5h 5i where a b f = 7. h e

A:

Q: Find the Maclaurin series of the function. x2 f(x) %3D 1- x7

A:

Q: 2. If f(x) and g(x) are continuous functions, then " g(x)] dx = | f(x)dx• g(x)dx. 3. If f(x) and…

A: Note :As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: (ポ-2) X1 X

A: ∫12(x2 -2x)dx/x here now diivide by x ∫12 (x -2)dx [x2/2 - 2x]12 (2)2/2 - 2*2 - 1/2 + 2 2 -4 -1/2+2…

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

A: The objective of the question is evaluate the vector with given magnitude and same direction vector.

Q: Activity 5: Find the following indefinite integrals. 1. Sdy 2. fx(8x? – 6 +) dx 3 6. S COSX dx sin?x…

A:

Q: 2. What is the period of the graph below? O 4 O 2 O1 PREVIOUS 2 of 17

A: Given query is to find the period of the graph.

Q: IH A and B are any two vectors in V, prove that (A- B) x (A + B) = 2(A X B).

A:

Q: Find the area of the surface generated when the indicated arc is revolved about the y-axis. y=x^2…

A:

Q: y = sin* 3x – cos* 3x y = csc* x – 21 cot?x y = cot sin

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find the most general antiderivative or indefinite integral. Use a capital letter C to denote an…

A: To evaluate the given integral.

Q: In Exercises 22 through 24, find an equation of the sphere satisfying the given conditions. 22. A…

A:

Q: D. Find the area of the region bounded by the given curves. Breaking 1 NEWS x2 = 4y 3 y? = 4x %3D 2.

A:

Q: Find an equation for the line tangent to the curve at the point defined by the given value of t 15)…

A:

Q: 2. Use disk or washer methods. Find the volume of solids enclosed by y -2 = (x- 2)* and x- 2 = (y-…

A: Given: y-2=x-22⇒y=x-22+2x-2=y-22⇒y=x-2+2 Formulas used: Using washer or disc method, The volume of…

Q: Find the most general antiderivative or indefinite integral. Use a capital letter C to ote an…

A: ∫ -2x1-x2dx

Q: Evaluate the integral by interpreting it in terms of areas. (10 – 5x) dx

A: Explained below

Q: dx 1+x3

A: Given:         ∫11+x3dx Factor the denominator:       =∫1x+1x2-x+1dx Perform partial fraction…

Q: Let f(x) be the function 2x – 11x + 5. Then the quotient f(5 + h) – f(5) can be simplified to ah + b…

A:

Q: dy Find by implicit differentiation for the following equation dx 3D8X+6y+7 dy dx

A:

Q: Find the point on the line y = 1 – 6 that is closest to the origin. Give your answer in the form (a,…

A: We have to find a point on line which is closest to the origin.

Q: Paramount Electronics has an annual profit given by P = -100,000 + 5,000q – 0.25q? dollars, where q…

A:

Q: Find the absolute maximum value of f(r)= x-2x+ 16 over the interval 0, 5

A:

Q: |(4e" + 4x + 7 cos a + 2)dæ =, O et – x4 + cos a + 2+c - O 4e? + x4 + 7 cos x + 2x + c O 4e? + x4 –…

A: We have to find value of given Integral.

Q: sin x dx cos x

A: