The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the y-axis is revolved about *-4=0. What is the appropriate integral to be used to find the volume of the solid generated? 2 4 *2x(x5/2 - 8x + 32 - 4x2/3) dx 0 [₁2R(x- 2n(x-4) (x3/2-8) dx U *2r(32-4x3/2 + 8x + x5/2) dx 0 [*24x[183/²2-8-481/2+22) 4x dx X

Q: Determine the area of the shaded region. 14r y=7x-x² 12 10 8 6 2 y=x (6,6)

A: Solve by integration

Q: Q2: The equation of the tangent line to the graph of y=t² and t = 4x² at t= 1 is (not that x is…

A:

Q: the complex number z = 18 + 18j in trigonometric form Group of answer choices   19.7(cos23.96°+ ?…

A:

Q: scalar equation of a line that goes through T(2,-5) and is perpendicular to the line 3x-6y=5

A: Equation of line

Q: The value of arcsin KIJ 4 O K|6 O KIM R 3 KIN 2 (9) is___

A: SOLUTION-

Q: Find the area of the region bounded by the curves y = x²y = x² and ² 01/2 02 O 1/3 O 2/3 = xy = x.

A:

Q: III. The Auxiliary Equation 1. (4D³-23D³-33D²-17D-3)y=0

A:

Q: Given the function F(x) = 2x 3 - 6, find the value F(-1). 10 -8 -4

A: Solution is done in step 2

Q: Use the theorems to evaluate the limit. lim x³ x → 2

A:

Q: 8. Write the integral that gives the area of the surface generated when the curve y = sinx on the…

A:

Q: A group of 100 students estimated the mass, m (grams), of a seed. The cumulative frequ curve below…

A:

Q: Find the area bounded by y=e*, y=lnx, x=e, the x-axis and the y-axis. (A) 12.1435 B) 13.1435 12.7834…

A: The region bounded by y=ex, y=ln x, x=e, the x-axis and the y-axis.

Q: Determine the volume generated of the area bounded by y=√√x and y=-x rotated around x=5. 2 A 128/15…

A:

Q: 1 Determine the volume generated of the area bounded by y=√√√x and y=- 2 A 154/15 B 112π/15 C 128/15…

A: Given; curves y=√x , y=x/2 rotated about x=5

Q: MATHS HOME A 41. If f (x) = f[ta (A) 3-e^/4 4 J'a (B). tan((nx) +- dx & f(1) = 0, then f (e/4) is -…

A: I am attaching image so that you understand each and every step.

Q: L 1 1 {}} 2 S S + 1 S-6

A:

Q: R is the region bounded by the functions f(x) = and g(x) = -4+. Find the area A of R. Enter an exact…

A:

Q: Solve: y(x) dy dx = = (8x² - 7x + 6) (y-7), where y(0) = 11.

A: We will solve the given differetial equation by variable separation method.

Q: 5. Find the half range cosine Fourier Series for the function.. X OCX < Z ..£.(x)..= TT-X <x<T -ans:…

A: Given

Q: Solve right triangle ABC. (Round angle measures to the nearest degree and side lengths to the…

A:

Q: Sequences and Series 17. Determine if the following sequence is Arithmetic or Geometric. Then…

A:

Q: Evaluate the integral (1 + 2y)ªdy.

A:

Q: How did he get the value inside the circle? Can you explain step by step and a clear line? 2 { 30²5…

A:

Q: Q1) Find the following integrals } 1) S sinh2x sinhx+1 dx 1

A: To solve the given integral

Q: Evaluate the integral. S (x² + 8)e-x dx

A: We need to evaluate integral.

Q: Q/Find the Taylor Polynomials of orders 0,192 and 3 generated by fat a F(x) = Sinx 29=0

A:

Q: -. (ex. + Iny + 2) dx + +In+siny) dy = 0 sin y)

A: To solve the given differential equation

Q: secxtanxd 9+4sec²x 7. S

A: The given integral is: I=∫secxtanx9+4sec2xdx    ...1   As we know that; ∫11+x2dx=tan-1x+C

Q: Identify the conic section whose equation in standard form is y 2 + 8y - 10y - 34 = 0. ellipse…

A: Topic = Geometry parabola

Q: A ferris wheel is 25 meters in diameter and boarded from a platform that is 4 meters above the…

A:

Q: II. Coefficients Linear in Two Variables 1. (6x-3y+2)dx-(2x-y-1)dy=0 2. (9x-4y+4)dx-(2x-y+1)dy=0

A: We can solve the given differential equation.

Q: 1. Given the function f(x) = 20 √7-x find f (-9). "

A: The given function is: fx=207-x    ...1

Q: Q7. A cellphone transmitter is placed at the top of a vertical tower. Cables are used to help…

A:

Q: possible formula for the trigonometric function whose values are in the follo 0 1 2 3 4 5 6 -2 -5 1…

A: Topic:- function

Q: How. Solve the diff. e que (4y-cosy) dy/dx=3x² = 0, y(0) = 6

A: (4y -cosy)dy/dx -3x2 = 0 y(0) = 0 here we do this using sepration variable method

Q: Find the solution by using Solution of 2nd order D-Es 2 X ý XỨ ty - xy + y = Lnx -

A:

Q: Find the center of the circle whose endpoints of the diameter are (-2, 3) and 2' 2 (4.9) (-4,-2) O…

A: Topic = Geometry

Q: If Æ(x) = 2x + 1, find Æ(a + h). 2a + 2h + 1 a + h + 1 2a + 2h + 2 2a + h + 1

A: Here we will find E(a+h),

Q: Find the trigonometric Faurier Series of the function defined by; flx) = x + # if = < X <... -T..

A:

Q: Find the area bounded by y=-x²+1, y = − 2x+2, x=-2, and y=2 (A) 1/3 None of these B) 16/3 D) 4/3 E 5

A:

Q: 9)THE ELEPHANTS Recently, a study on the African and Asian elephant populations was published. The…

A:

Q: Scotch is looking to make a larger size roll of duct tape. The current roll is shown in the photo.…

A: First finding the volume of original roll

Q: estion 24 Copy of To integrate x³ ²dx' e+² x² Ox we apply integration by parts and in the form u dv,…

A:

Q: Find the integral of each of the following: (a) S(-6x³ +9x² + 4x − 3) dx (b) f(12x²9x) dx

A:

Q: Given the triangle below, find the angle A and length of side x Note: picture is NOT drawn to scale,…

A: As we know from the Sine Rule: asinA=bsinB=csinC   Given: So, B=32°, a=30, b=29, c=x

Q: 2.5s (s 0.1) (s+ 0.4),

A:

Q: Use the second fundamental theorem of calculus to evaluate the following: 1 1 + 1 + sin 0 5) de 1 -…

A: Value of definite integration is given.

Q: If y(z) = √3+ rºdr then 0 y' (2) = 524√√3+25 Q X estion E

A:

Q: Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval.…

A:

Q: 18. Find the partial sum. Σ128(4) n=1

A: Given problem:-