C. Find the volume of the solid obtained by rotating the region bounded by y = -10 + 6x-x², x = 1 and x = 5 about the line y = 8.

Q: What substitution should be used to solve the integral O sin u=3x/2 sec u =2x/3 sec u =3x/2 O tan u…

A: We have to solve the integral

Q: Q2: Find Maclaurin series for the function f(x) = (4x) (four terms only), then find the error…

A:

Q: Which of the following is not true? ,5 Ⓒ √√² 25²x x² = 11m -√² 25-4x2² dx dx A lim o c+5-0 3 3 dx dx…

A: We have to find out the option

Q: (2) Solve for all values of x over the interval [0,27]: 2sin(x) = sin(2x)

A: Topic = Trigonometry

Q: Evaluate f(3x +2)dx

A:

Q: Power series 2. √n+2 n=o Limit Comparison Test to show that the se=

A: Given is       power series ∑n=0∞(-3)n(x-2)n(n+2)when x=53∑n=0∞(-3)n(x-2)n(n+2)=…

Q: L 4 3 2 1 -1+ -2- -3- -4 -3 2 10. From the above graph of y = f(x), answer the following questions:…

A:

Q: Evaluate L L ³ xy² 1 3xy² dy dx.

A: SOLUTION-

Q: Find f. f(t) = 5e¹ - 6 sin(t) — 5 f"(t) = 5et + 6 sin t, f(0) = 0, f(π) = X 0

A:

Q: [₁ f(x) dx = 7 and f (x) da = -5, which of the following is NOT TRUE 3 3 [²ƒ (2) da − ³ ƒ (2) da =…

A:

Q: Find the determinant of the matrix, O22-122-13 O22-12A +13 O²+12+13 02-13 2-11 4 6 2-1

A: Topic = Determinant

Q: ex = cosy

A:

Q: ing Eliminate the parameter t to find a Cartesian equation in the form x = f(y) for: = Sx(t) - 2t²…

A:

Q: Q1: convert the Integral 1-X fydx to the polar coordinates.

A:

Q: Find the complete solution of e sinx-cos²x=0. dx

A: *Formula:- 1. ∫exdx =ex.2. sinxcosx = tanx.3.  1cosx = sec(x).4. ∫sec(x)tanx = sec(x).5. ey =x ⇒y =…

Q: Solve for the second derivative of the following implicit function

A: We can solve this as follows:

Q: valuating 2 dx is same as evaluating lim cos-¹(f(x)). Determine the value of f(x) if x=0.36 1x²-4 2…

A:

Q: Q2/A/ Find the intervals on which the function f(x) = x² - 4x + 3 are increasing and the intervals…

A:

Q: 1 -dx= -2 X A) True B) False 3 100 8

A:

Q: 4. fx√x - 3 dx

A:

Q: +6 cos(x³) A True B) False |dx=0

A:

Q: Make Detailed solution TECHNIQUES OF INTEGRATION

A:

Q: 0,000? e marginal revenue is dollars per item. necessary, round to the nearest integer

A:

Q: Using Simpson's method 2 So dx for n=4 is equal to Blank 1 (use 2 decimal places with proper…

A: As we know from the Simpson's Rule: ∫abfxdx=∆x3fx0+4fx1+2fx2+4fx3+2fx4+...+4fxn-3+2fxn-2+4fxn-1+fxn…

Q: The average number of vehicles waiting in a line to enter a parking ramp can be modeled by the…

A: Given, f(x)=x24(1-x)

Q: y" + 5y' - 4y = 0

A: SOLUTION-

Q: All continuous functions have antiderivatives. A True B) False

A: all continuous function have anti derivative.

Q: How long will it take for an investment to at least double its original amount if it is growing at…

A:

Q: 7. Find the points on the curve y=-x where the tangent line is parallel to the line y= 3x

A: The points on the curve y=x33-x where the tangent line is parallel to the line y=3x

Q: 6. f In² x dx

A: Topic = Integration

Q: 15 Ső 0 X √x+1 ах

A: We have to solve the given definite integral

Q: Which of the following is not true? A) None of the given choices 4dx B So lim o √x(x+6) 0 3 3 dx dx…

A: Option E is not correct .

Q: 4 35₂² In evaluating 2 dx x√√x²-4 is same as evaluating lim cos-¹(f(x)). Determine the value of f(x)…

A:

Q: For the function y =f(x), it was found out that f"(c) = 0. What can be said that x=c? O critical…

A: We can find the answer as below.

Q: √√²₂√12x+ 2x+1| dx the result is Blank 1 (use fraction or decimal in 2 decimal places, no spaces) -2…

A: Solution:

Q: Using Trapezoidal method Blank 1 0.34 2 So dx for n=4 is equal to 0.34 (use 2 decimal places with…

A: Given ∫012(x+2)2 dx To evaluate integral using Trapezoidal Rule:

Q: df Use integration to find f(1) when f(3) = 1000 and = 4(x+1)(x² + 2x)³. d x -24,272 -26,341 25,980…

A: Integrate on both sides of the given differential equation and find f(x) .

Q: B.) For numbers 1 to 10: Determine if limit of each function exist using the piece-wise function…

A:

Q: c) The equation of a straight line, of gradient m and intercept on the y-axis cis y = mx + c If a…

A: Let's solve.

Q: (t – ex)x = & 0 त &

A: Given problem:- a. Determine the area of ​​the shaded region   b. Determine the volume of the…

Q: Which of the following is not true? 4dx 4dx A S.. lim √x(x+6) c √x(x+6) 5 dx dx So 25-x² B = lim…

A: We have to find out the option

Q: Use Figure 1 to evaluate each trigonometric function of angle A. The side adjacent to angle A has…

A: We will use simple trigonometric formulae to solve this question.

Q: ²) S₁₂ x ² √ x²+1 dx St 2)

A: The given integral is; I=∫07xx2+13dx   ....(1) As we know the Power Rule: ∫xndx=xn+1n+1+C

Q: Given the function y=f(x), y" is found to be negative over the interval (4,8), then over this…

A: Answer is given in next step.

Q: An investment of $18,000 was growing at 6.5% compounded semi-annually. a. Calculate the accumulated…

A: In this question we have to find the following given Compound Interest.

Q: In evaluating 4 2 dx is same as evaluating lim cos-¹(f(x)). Determine the value of f(x) if x=2.9…

A: Given

Q: State the domain, vertical asymptote, and end behavior of the function. g(x) = ln (6x + 12) + 1.3…

A: Domain of a function:-  Set of all values of independent variable such that function at that point…

Q: Find the arc length of the polar curve described by: r = 10 + 10 cos 0

A:

Q: Which of the following is not true? A √ in(x²) dx = lim_²in(x²) dx А ₂3 3 dx dx B S²³² √₁ In(x²)…

A: Just use the definition of improper integral of first and second kind and find the required…

Q: Given than han [ 1 (2) de = (z) dz=-4 and ® [1(e) de - [5 (2) de = 20 None of the given choices…

A: