Find the following problems, a) Find the volume of the solid generated when the region bounded by y=6x and y=18x is revolved about the x-axis. The volume of the solid should be in cubic units. y-18√x RY-6x

Q: 7. lim Z-0 cos²(y+z)-cos² y z A) cos² y. B) 2 sin y cos y. c) 2 cosy. D) - sin(2y). E) cos(2y).

A: L'Hopital's rule is used. Chain rule is used to find the derivative.

Q: Y=12, 8, 16, 7, 8, 9, 20, 4 variance is equal to

A:

Q: 108 45. 765432 1 -1 y Chapter 2 Differentia f + 1 2 3 4 5 6 7 X 46. yd.

A:

Q: Calculate the average rate of change of the given function over the given interval. Where…

A: To find average rate of change of given interval.

Q: ompute the right-hand and left-hand derivatives as limits d check whether the function is…

A: Given: y=x+2

Q: Consider the vector function r(t) = (t, t¹, t³) Compute r' (t) = (1, 4t³, 8t7 3 T(1) = ( r' (t) = (…

A: Recall:  T(t)=r'(t)r'(t)

Q: 7.    Evaluate the integral, which has irreducible quadratic factors. 7 (x − 7)(x2 + 2x + 9)  dx…

A: Given  ∫(x-7)(x2+2x+9)dx

Q: Find the volume of the solid bounded by the paraboloid z = 4-², the cylinder r = 1 and the polar…

A:

Q: (a) If F(x) = 6x/(2 + x2), find F '(2) and use it to find an equation of the tangent line to the…

A:

Q: 1) Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4…

A: Use polynomial concept

Q: 1 7. f(x) = √√√1 + √1 - x, at x = ² 4

A: Chain rule of differentiation is used.

Q: 01 02 Q3 Q4 05 Q6 07 Q8 OU 09 Q10 Q13 The trigonometric substination to evaluate the integral…

A:

Q: 5. Rationalize the numerator to evaluate the limit. Be sure to show all your √³+49-7 h³ Q(²) = 0 lim…

A: First of all we will rationalize the numerator then we will apply the limits

Q: a/ For the following function, the domain is y = x²

A: We have given function  fx=x2 Domain is the values of x for which a function is defined.  function…

Q: b/ For the following function the range is y = √4-x

A: Topic = Function

Q: Q 7 please

A:

Q: I need the correct answer for all of them please.

A: Here we have to find the local and absolute extrema.

Q: lim n→∞ n ((n + 1)(2n + 1) − 2) 2n³ 1.

A:

Q: Q2: A: Find the volume of the region enclosed by the cylinder x² + y²4 and the planes z 0 and y+z=4.…

A:

Q: The mean of the normal approximation to the binomial distribution is μ = pn. True False

A: The mean of the normal expression to the binomial distribution= E[x] = np Where, n = Number of…

Q: 18 f(x) = x + 2x -1.find (fY(-1) A) S B) 2 앞 -IN

A: I have appended the formula used in solution part.

Q: Determine the value of k such that x²y=1+x is a solution to (x²y + k) dx + x³dy=0

A: We have to find value of k.

Q: The cost (in dollars) of producing x units of a certain commodity is C(x) = 6000 + 10x + 0.15x². (a)…

A: NOTE: Refresh your page if you can't see any equations. . take x=100

Q: [50 07 -3 204-4] 02 0 1-530 0 0 -3 -6 222 3 2

A:

Q: Two straight line are y = x -1 and y = -x + 1. Find the point of intersection: i) using Cramer's…

A: We can solve this as follows:

Q: 7) g(n) = 2n² - 4; Find g(-2)

A: Given: gn=2n2-4To find: g-2=?

Q: Use the graph of the function f shown to estimate the indicated limits and the function value. a.…

A: NOTE: Refresh your page if you can't see any equations. .

Q: x(x+1) 2x-1 4. y = 5. f(x) 6. y = = J at x = 0.6 1-3x+x³3 1 (1+√1-x)²¹ 7. 8. y = 52x+1, 1 2 at x = :…

A:

Q: 24. k(x) : = x-2 2-x

A: Given that kx=x-22-xSolution…

Q: b/the limit of √1+x+1 lim X→0 X 02 O 1/2 O 0

A:

Q: Find a polynomial function with the zeros -2,3,5 whose graph passes through (7,144) f(x)=

A: Given, Zeros= -2,3,5 We know that polynomial function with three zeros a b and c is given by, f(x)=…

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x² +9 lim X→-4 X + 4 5

A: Solve for the limit

Q: Interpret the average rate of change. U.S. education expenditure, as a percentage of total federal…

A: We have to compute the average rate of change.

Q: Discuss why it makes intuitive sense to presume that the linear differential equation y" + 2y' + 4y…

A: Given differential equation is y''+2y'+4y=5 sin t  .............................(I) Now, to find…

Q: Calculate the average rate of change of the given function over the given interval. Where…

A:

Q: A (В) -3 C -2 -1 O -1 -2 Graph of f' 1 Let f be a differentiable function with f(1) = 3. The graph…

A:

Q: NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of…

A:

Q: Calculate the average rate of change of the given function over the given interval. Where…

A: The given table is: To find the average rate of the change on the interval 2, 6

Q: "determine by inspection whether the matrix is invertible."

A: Method of inspection tells us that for a Triangular matrix if all the elements of the main diagonal…

Q: Suppose y = sinh Then 1 sinhz z = sin(y) Oaresinh(y) Using implicit differentiation, dy dz (Enter…

A: NOTE: Refresh your page if you can't see any equations. . the given function is here we can write

Q: Q27) A)1+c B) Injx + c Sing+ Car X c)x+c dx D) xin x+c

A:

Q: "classify the matrix as upper triangular, lower triangular, or diagonal, and decide by inspection…

A:

Q: B -2 C -1 2 -1 O -1 -2+ Graph of f' Let f be a differentiable function with f(1) = -2. The graph of…

A: Given that a function f is differentiable and f(1)=-2.  Also the graph of first derivative of the…

Q: Determine the domain and range for the graph below. f 3 2 H -5 -4 -3 -2 -1 a. Domain: b. Range: 1 -2…

A: We can find the domain and range in the below steps.

Q: 5x2 3x1 + 2x2 i. b₁ = 1, b₂ = 4 ii. b₁ = −2, b₂ = 5 -. x1 = b₁ b2

A:

Q: 1. f de 1-cos 8

A: Since you have posted multiple question in this question and i can solve first question as per our…

Q: Is the sequence an = 9n Your answer is (input yes or no) if your answer is yes, its first term is…

A:

Q: Let f(x) = m = 6 mx x² + 7x ,2 if x If f(x) is a function which is continuous everywhere, then we…

A:

Q: 2. 2x²y+3ycosx-2c = 0 3. 5y2 + x³y = cx

A: In each of the following, to eliminate the arbitrary constants. 2 2x2y+3y cos x-2c=03 5y2+x3y=cx

Q: 9. For f(x)=2x2, fim 2x²-2<0.05 (he

A: given :fx=2x20&lt;x-1&lt;δ