Find the area of the region enclosed between f(x) = 0.3x² + 9, g(x) = = x, x = −2, and x = 2

Q: The graph of y√ is given below: = -5-4-3-2-1 4 3 2 + 44 -24 -3 Find a formula for each of the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: C. D. y sin2y +C 4 4 y+sin 2y + C -Integrate the square root of (1 - cosx) dx_ -2√² cos=1/x + C A.…

A:

Q: With a diameter of 4 feet and a height of 9 feet. This trough is conical in shape and is filled with…

A: We have to find the work done to empty the trough. First we will draw the diagram for the cone and…

Q: Subject: calculus   The product of (6)/(4 )and \sqrt(34 ) is irrational ??

A: The product of (6)/(4 )and \sqrt(34 ) is irrational ?

Q: If C is a circle with radius 5 traversed (traveled) exactly once, Jo then ds = 10T.

A: C is a circle with radius 5 transversed exactly once

Q: Find the Tangent line to elispe x2/40 + y2/40 = 1 at the the point (2, -(3)1/2).  a. y = 31/2x - 4…

A:

Q: a) Find the points of intersection of the curves y = -4x² and y=x² - 20. b) Find the Volume of the…

A: To solve the following

Q: Please solve and show all work. Consider the function f(x) = 2x³-12x²-72x + 7 on the interval [-4,…

A: Given that: The function f(x) = 2x3 - 12 x2 - 72 x + 7  on the interval [ -4, 7]. Average slope: By…

Q: 4. f(-2)=-13 91-2)=11 (f/g)(-2)=

A: A function is a relation such that each and every element in the domain has a unique image in the…

Q: Find the tangent plane to the equation z = 2x² - 3y² + y at the point (5,0,50) Z= Basic Funcs Trig

A:

Q: 1. Find the general solution for the given IVP y" - 4y' + 4y = 2e2t - 12 cos(3t) - 5 sin(3t) with…

A: here two questions are not related so i need to solve 1st one only according to bartleby guidelines…

Q: Find the directional derivative of the function f(x, y) = ln (x+y³) at the point (-3,1) in the…

A: We need to find the directional derivative of the given function: fx, y=lnx4+y3 at point-3, 1 in the…

Q: Let f(x, y) = (xy - y) cos(y) x² - 2x + y² + 1 does not exist. Find the limit of f(x, y) as (x, y) →…

A: We need to find limit limit(x,y)->(1,0)f(x,y)=limit(x,y)->(1,0)(xy-y)cos(y)x2-2x+y2+1

Q: Use the product-to-sum identities to rewrite the following expression as a sum or difference. 4cos…

A: let   A=4cos(105°)cos(105°)

Q: 3. The surface S is the part of the surface z = re above the rectangle [0, 2] × [0, 1] in the…

A:

Q: A vector joins the points A(2, 1) and B(5, 4). Find AB OA) 3 O B) 6.40 OC) 3.12 OD) 4.24

A: The points are : x1, y1 = 2, 1x2, y2 = 5, 4 To evaluate: The value of AB→.

Q: Find the general indefinite integral. (Use C for the constant of integration.) [(u² - 346 - U² + ·…

A: Given integral  ∫( u7 - 3u6 - u4 + 63 )du Formula used  ∫xndx = xn+1n+1 + C

Q: 2 Si √² (3x² + 2x + 4) dx

A:

Q: Find the area (in sq. units) bounded by the parabolas x²-2y = 0 and +2y-8=0. A. 11.7 B. 4.7 C. 9.7…

A:

Q: Use an iterated integral to find the area of the region. 2 7 9 8 7 6 5 4 3 2 1 9 dy dx = 12 2 3 10 X

A: Equation of a straight line with x-intercept a and y-intercept b is defined as xa+yb=1 Therefore,…

Q: E. Transfer Function. Determine the Transfer Function of the following systems. 10) y"(t)- 2y' (t) =…

A: To determine the transfer function of the given system, we need to take the Laplace transform of…

Q: Evaluate A. B. C. D. x/6 27T 363 35k 768 23T 765 12T 81 √(cos3AjºdA.. 1 Integrate 3x + 4 evaluate…

A: To evaluate ∫0π6cos3A8 dA. Note: Since the student has posted multiple questions and does not…

Q: Find the indicated vector. Let u = (1,5), v = (-4, 6). Find u + v. 19 2

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

Q: What is the area bounded by the curve y = x³, the x-axis and the line x = -2 and x = 1? A. 4.25 B.…

A: To find the area bounded by the curve y=x3, the x-axis  and the line x=-2 and x=1.  Note: Since the…

Q: ate The following matrix shows the probability that a student will eat in the cafeteria (C) or…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Use the product-to-sum identities to rewrite the following expression as a sum or difference.…

A:

Q: Find the equation of the ellipse that has (±7,0) and (0,±5) as the ends of its axes. + = 1

A:

Q: Find an equation of the set of all points equidistant from the points A(-1, 4, 3) and B(4, 2, -3).…

A: We use here distance formula,

Q: Given f(x, y) = sin(x + y) where x = s³t², y = 38 - 2t. Find f.(x(s, t), y(s, t)) = f(x(s, t), y(s,…

A:

Q: firm can produce only 2500 units per month. The monthly total cost is given by C(x) = 400 + 200x…

A: A firm can produce only 2500 units per month. The monthly total cost is given by C(x) = 400 + 200x…

Q: X to] 2 10 2 ● B

A:

Q: Determine the volume of the solid obtained by rotating the region bounded by y = √√√x, y = 3 and the…

A: y=√x ,y=3 About y axis

Q: Find the relative extreme values of the function. (Order your answers from smallest to largest x,…

A: The solution is shown in step-2

Q: Compute the flux of the vector field and (0,3) Calculator (x³, xy5), out of the rectangle with…

A:

Q: W = xeylz, x = t3³, y = 2-t, z = 3 + 8t

A:

Q: Find the solution of the following initial value problem. 1 1 3 3 v'(x) = 8x + 8x ; v(8) = 25, x > 0…

A: Find the solution of the following initial value problem.  v'(x)= 8x13+8x-13; v(8)= 25, x>0

Q: 1. f(-2)=-13 9(-2)=11 (f+9) (-2)=

A: given  f(-2)=-13  and  g(-2)=11

Q: 7. Evaluate the line integral fex ds if C is the curve r(t) = ti + t²j for −1 ≤ t ≤ 1. A. -2 B. -1…

A:

Q: Find all the zeros of the function g(x) = x³ - 3x² - 15x+125 O -5,2+31, 2-3i O -5,4+3i, 4-3i O…

A:

Q: Find the average value of f(x) interval [ 14, 14]. fave = Calculator = 14 x over the -

A:

Q: Find the radius of convergence, R, of the series. Σ n=1 R = 7.15.23. x th X (8n - 1) Find the…

A:

Q: The integral of cos x with respect to x is A. sin x + C B. sec x + C C.-sin x + C D. cScx+G X+C

A: We find integration of cosx and cos(2x)e(sin2x).

Q: Given f(x, y) = 3x - 5x²y³ + 4y², find fz(x, y) = 123-10xy³ fy(x, y) = fax(x, y) = fry (x, y) =…

A:

Q: What is the area (in square units) bounded by the curve y² = x and the line x-4=0? A. 30/3 B. 31/3…

A:

Q: 9. values Fund the absolute maximum and minimum of the function over the indicated and indicate the…

A:

Q: S f (x) dx given that [ f(a) da - 3 and [ f(a) dz = 8. = Determine the value of

A: The integrals are ∫52fxdx = 3∫59fxdx = 8 To determine: The value of the integral ∫29fxdx

Q: Jse total differentials to solve the following exercise. A rectangle is measured to be 130 feet by…

A: Area of rectangular field is given as  A = xy  where x and y are the side length of the rectangular…

Q: Verify that the Divergence Theorem is true for the vector field F on the region E. Give the flux.…

A:

Q: 12. The Crash-em-Up body repair shop fixes three types of cars compact, midsize and luxury. If a…

A: Given:  The time required, in hours, to fill, sand, and paint the fender for  three types of cars is…

Q: Write the equation for the plane. The plane through the points P(5, -3, 10), Q(-3, -2, 29) and…

A: Given  Plane passing through three points P(5,-3,10), Q(-3,-2,29) & R(-1,4,-7)