7. Evaluate the volume generated by revolving the area bounded by the given curves using the hollow cylindrical shell method: x = 4y - y², y = x; about y = 0

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

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

Q: Evaluate the following determinant by using row-operations. Carefully -1 3 4 -10 -4 A -> -4 -8 9 6…

A: To find the determinant of the given matrix A.

Q: A region is bounded by the y=x² and y=6x-x² Which of the following integrals would approximate the…

A: We can solve this as follows:

Q: 2) Sketch the solid whose volume is given by the integral  and evaluate the integral. ∫0 to pi/2 ∫0…

A:

Q: 10. 2 w² + 4w W 1 dw

A: Given problem:-

Q: Identify the surface defined by the following equation. -2²-8²2 +²²2 + -x-y + 10x -6y = 43 Select…

A:

Q: The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the y-axis is…

A:

Q: 4) Consider the following logarithmic equation: What is the solution to the equation? log4(x + 2) +…

A:

Q: 11. Suppose a population grows according to a logistic model with initial population 300 and…

A:

Q: Find a formula for the distance from the point P(x, y, z) to the (a) xy-plane (b) yz-plane (c)…

A: Distance between two points x1, y1, z1 and x2, y2, z2 is given by x2-x12+y2-y12+z2-z12.

Q: (e) 2a7/2.a¹/2 a-1 (f) √₂√b a 5 √ab

A: As we know the Rules of Exponent or Laws of Exponents . 1). ax·ay=ax+y 2). ax÷ay=ax-y 3). axy=axy…

Q: Calculate √-3 + 3i. Give your answer in a + bi form. In polar form, use the angle 0 ≤0<2m a = b=…

A: Topic:- complex number algebra

Q: 1. Find the solution of the following differential equation.

A: We have to find the solution of the given differential equation.

Q: Exponential and Logarithmic Functions 11. Use the properties of logarithms to fully expand the…

A:

Q: An auto weighing 2,500 pounds is on a street inclined at 10° with the horizontal. Find the force…

A:

Q: 14 Given the triangle answer to 4 decimal places. X find the length of side x using the Law of…

A:

Q: Problem 1: Determine centroid Y-bar with respect to the x-axis. A = 1.6 m B-3.9 m V A A B B

A: We have to find the centroid.

Q: The area bounded by y=1-x²₁ x+y=1 and the x-axis is submerged vertically in the water with the water…

A:

Q: (3. 7/7) as Cartesian coordinates. Express the polar coordinates (3,

A: We have to express (3 , π/2) in Cartesian coordinates.

Q: y = x², y = 0, x = 1, and x = √5

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: The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the y-axis is…

A: Given problem:- The region in the first quadrant bounded by the graph of y = 8 - x3/2 , the x-axis,…

Q: Express the function in the form fog. F(x) = (2x + x²)³

A:

Q: 5TT Convert the polar coordinate 9, 3 X = y = to Cartesian coordinates.

A:

Q: -1 L 1 s2 + 2s

A:

Q: Find the center and radius of the circle whose diameter has an endpoint at (3, -4) and the origin. 5…

A: Given that the endpoints of the diameter are 3,-4 and 0,0.

Q: Problem 2: ( 3) Starting with the graph of y = e, find the equation of the graph that results from…

A:

Q: A bacteria culture starts with 500 bacteria and doubles in size every half hour. (c) How many…

A: Topic:- exponential growth function

Q: The hyperbola in Position I opening up opening down in Position II y² x² 4 16 1 is

A: Topic :- geometry

Q: A 5-pound monkey is attached to the end of a 30-foot hanging rope that weighs 0.2 pound/foot. The…

A: Given problem:- A 5-pound monkey is attached to the end of a 30-foot hanging rope that weighs 0.2…

Q: 1. Evaluate the given integral Q. y/3 9-y² - 1.² [ord ³* 0 0 0 Q Your answer (1-2) dz dx dy

A:

Q: In the process of calculating that: cos³ (112) de a substitution is made in the variable u, then it…

A: Given query is to find the integral after substitution.

Q: 5. Let f(x) is even and g(x) is an odd function which satisfies x²f(x) - 2f f(1) + f(2) + f(3) +…

A:

Q: 21 The equation x2 + y2 = 5 has _______. a center at (5, 5) and a radius with a length of five…

A: We know that the equation of circle is: (x-h)2+(y-k)2=r2 where, (h,k)- centre of circler-radius of…

Q: 14. Solve for x. 2¯¾ = 8(x-3)

A: Given, 2-x2=8x-3

Q: 3 Safin designed and launched an app. One week after he launched the app, it had 8 400 users. Four…

A:

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

A:

Q: Q/ f(x)=√√25-x² theorem at ce[ko], [= -√5 find K and f check the mean Value

A: Given problem:- f(x) =√(25-x2) and f check the means value theorem at c∈ [k, 0] , c=-√5 find k

Q: Find the area bounded by the parabola x=8+2y-y², the y-axis, y=-1, and y=3 A) 92/3 s.u. B) 92/4 s.u.…

A: A detailed solution is given below.

Q: Suppose ƒ be a function such that fo f(x) dx = 3. Then ² t² f(t³)dt: 9 [Select] Select] 103

A:

Q: 5. Evaluate using the circular disk method. Find the volume of the solid formed by revolving the…

A:

Q: / which of the Following series converge and which diverge? Givereasons for your Answer Σ sechn n=1

A:

Q: 10x3, 5-x, = x < -2 x ≥ −2 Let f(x) 1. f(-2)= 2. lim f(x) = x→→2+ 3. lim f(x): = x→→→2 4. lim f(x) x…

A: The solution of 4 and 5 are given in the next steps.

Q: image

A: Please refer to the image below

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 derivative of O2 sec 2x O 2tan 2x O-2 cot2x O 1/cos2x y=In sin 2x

A:

Q: The volume of the solid whose base is region in the xy-plane that is bounded by the parabola y = 12…

A: Concept: To find the limit of x put equate the values of y  The volume of the solid in the x-y plane…

Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise…

A:

Q: Ex: Expand fit) = +² o<t <2π in a Fourier Series expansion : Sol: 2 L = 2 T /// L = π -411 -27 2 tr…

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

Q: Find the area of the region in the first quadrant bounded by the curve y = √√x² + 5, the x-axis and…

A: