4. Find the volume generated by revolving the area cut off from the parabola y = 4x - x² by the x axis about the line y = 6.

Q: Determine all the values of x, 0≤x≤ 2, for which the slope of the tangent to f(x) = sin x tan x is…

A: We have to find solutions

Q: 2|6x + 4 ≥ 1 OX - 7/12 O-7/12 - 12/7 choose the right answer

A:

Q: Determine the equation of the line that is tangent to y = 2 tan x, where x = 4. O-4x + y - (2-) = 0…

A:

Q: 2π -5.² b- - 1 do (1 + tan²0)³ 0

A: See this solution in below

Q: Evaluate the integral. (Use C for the constant of integration.) The integral of sqrt((4+x)/(4-x))dx

A: To evaluate the integration.

Q: (y³ - 3x²y + x³ - 4x) dx + (3xy2 - x³ + 8y³ +y + 5) dy = 0 I. f(x, y) = M(x, y) dx + g(y) II. Find…

A:

Q: rite the first five terms of the sequence: √n² +10n-n}+1 = etermine whether the sequence converges,…

A:

Q: Evaluate the integral.   The integral from 1 to 4 of e^(4/x)/x^2dx

A:

Q: Translate each graph as specified below. (a) The graph of y=f(x) is shown. Translate it to get the…

A: We are asked to translate the given graph.

Q: Determine whether the series converges. O The series diverges. O The series converges. 00 Σ k=1 k…

A: We can solve as follows

Q: A group of 4 journalists is to be chosen to cover a murder trial. There are 4 television…

A: Let's find number of groups can be formed.

Q: S₁ (6x³ +11x² - 4x) 18x² +22x-4) d dx -3/5 C.

A: The given integration is: ∫016x3+11x2-4x-3518x2+22x-4dx To find the value of the integration.

Q: Solve the differential equation. 13. ( sin θ – 2r cos^2 θ) dr + r cos θ ( 2r sin θ + 1) dθ = 0

A:

Q: Use first principles definition of the derivative to find f'(x) for the function 3 f(x)= x-2 =

A:

Q: Find the partial derivative of z with respect to x z = (3x² + 1) cos(x²y). əz = -2x (3x² + 1)…

A: Given function z=(3x2+1)cos(x2y)

Q: Determine the maximum and minimum values of the function f(x)=cos³x on the interval x10,2x). Max…

A:

Q: If y = -x-4/3, what is 4 321/3 -1/3 01- 45 3-76 4 32-7/3 dy 2

A: y=-x-43

Q: 6. 7. 8. (ex + e + x) dx 24t dt [2(5x) dx

A:

Q: Given x = 5t - 5 and y = 25 sin t dy da t-0 (ii) dy da 2 t-0

A:

Q: x.e²ydy + 12 dx = 0

A: Follow the procedure given below.

Q: Solve the differential equation. 8. x ( 3xy – 4y^3 + 6) dx + (x^3 – 6x^2y^2 – 1) dy = 0

A:

Q: Obtain the orthogonal trajectories of y=Cx^2 and compute for the positive value of y of the…

A:

Q: r3 + y = Ty, then y = 32 3» ყ passos " 1 — 34 + ყ 3.72 O x - 3x² + y 3y² O 32 — y — 3g2 - lf

A: Given

Q: A rectangular box is to contain 125 in3. Find the dimensions of the box for which the surface area…

A: Given problem:- A rectangular box is to contain 125 in3 Find the dimensions of the box for which the…

Q: 32 students in a particular school were surveyed to determine the subjects in which they were…

A: Solution : Given that from figure it is                     Clear that

Q: For second-order differential equations that cannot be solved by algebraic methods, the…

A: For second order differential equations that cannot be solved be algebraic methods, the leibniz -…

Q: The graphs of f(x) = x³ + x² - 6x and g(x) = ex-3-1 have which of the following features in common?…

A:

Q: A tank contains 80 gallons (gal) of pure water. A brine solution with 2lb/gal of salt enters at 2…

A: This is a problem related to differential equation. Based on the general formula and concept we will…

Q: x. e²ydy + (*²*¹) dx = ( 0 (Variable separable)

A:

Q: Determine whether the series converges. Σk³ e-k4 k=1 The series >

A:

Q: Indeterminate Form 4 7. lim 2 1–cosx x-0 4 1 8. lim x-2x²-4 x-2 9. limsin 3xcot 2x 10. limx²e 11.…

A: We have to determine the indeterminate forms.

Q: * 4X+1 X+7<6X-1. 6 OX<-89/2 (-∞, - 89/2) OX<-89 (-89) OX<-2/89 (-∞, -2/89) OX<∞ (89/2,00)

A:

Q: The half-life of chemical substance is approximately 9 years. Initially there is 80 grams of the…

A:

Q: mi I Τ 1+ d) √¤√ï√™

A:

Q: Calculate the following derivative if h(w) = √webw (Use symbolic notation and fractions where…

A: see below the answer and calculation

Q: 6. cos x sinỗ xdx

A:

Q: If t = 12, then Y12 = 4, 727, 272e (In 1.17 10 12 5,707, 340

A:

Q: Express the number as a ratio of integers. 3.898 3.898898898...

A: 3.898898898..... this can be written as  3.898898898..=3+ 0.898 + 0.000898 + 0.000000898 + .. ...  .…

Q: There are 28 students in Mr. Connelly's Grade 12 mathematics class. The number of students in the…

A: Denote nA=number of elements in the set.

Q: If the equal tensions T in the pulley cable are 520 N, express in vector notation the force R…

A:

Q: If y = (1+x)8 (x + 1)7 True False then dy dr

A: We can solve this as follows:

Q: c) f(x)=tan(cos².x) 11 COS X 1+ sin.x Dy=- b) y = 2

A: e)  f(x)=tan(cos2x)  f) y=cosx/(1+sinx) g) y=ex^2/x3 Repost the next part.

Q: olve the following exponential equation algebraically. 3(2-1) = 215 press you answer to the nearest…

A:

Q: b. S sin (3x) cos¹ (3x) dx

A:

Q: The graph of f(t) is displayed below. Fill out the table for values of the accumulation function…

A:

Q: A cube is box all of whose sides have equal lengths 3s². True False

A: a cube is made of 6 squares whose sides are of equal length

Q: 2|6x + 4 ≥ 1 OX- 7/12 O-7/12 - 12/7 choose the right ans оо

A: solution:-26x+4≥16x+4≥12using properties of modulus6x+4≥12  or  -6x+4≥12 6x≥12-4  or  -6x≥12+46x≥-72…

Q: Which of the following is not a homogeneous function? h(x,y)= xª − 3xy³ + y¹ − x² cos Option 1 b(x,…

A: Let's solve.

Q: If the tangent line to y = f (x) at ( 5, 3) passes through the point (1, - 2), find f' (5)=

A: Given problem:- If the tangent line to y = f (x) at ( 5, 3) passes through the point (1, - 2) Find…

Q: 2 61-19]. and C 3 3 Given the matrices A = В: 9 3 5 the matrix X in the equation (A - 5B) X = C. X =…

A: