Find the area bounded by a parabola and any right chord (use the parabola y^2 =4ax, chord x = x subscript 1)

Q: Evaluate (2x + 3e* - 4) dx a. 12.43 b. 13.45 c. 14.24 d. 15.23 e. NONE OF THE ABOVE A О в Oc O D DE

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Q: 2. (² (sin³x)√1+cos x dx

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Q: 2. S csc²¹ 5x cot¹ 5x dx

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Q: What is the volume in cubic units of the solid formed when the region bounded by y = x^2, y = 1, and…

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Q: What is the center of gravity of the solid formed when the plane region bounded by 2x + y -2= 0, y =…

A: The given region is as follows: Now, rotation of the bounded region about y-axis will result in a…

Q: Find the solution of the given initial value problem. ty' + 4y = t²t+7, y(1) = 5, t> 0 Y ||

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Q: A solid consists of a right-circular cylinder and a hemisphere on each end. The length of the…

A: The diagram of the cylinder with hemisphere on the end will be as following To find dVdr at r=2,…

Q: What is the volume in cubic units of the solid formed when the region bounded by y = x^3, y-axis,…

A: The region is bounded by y=x^3, y axis  and y=8.And the region is revolved about x=0. We need to…

Q: 3 Scos³ xdx from a - 0 to b= 2

A: This question is related to definite integration, we will solve it using given information.

Q: The area bounded by the graphs of y = 2 - x^2 and y = x^2 revolves about the x-axis. Determine the…

A: The given curves are y=2-x2 and y=x2   Now find the point of intersection between the given curves.…

Q: y s 5 4 -2 -2 The diagram shows the shaded region bounded by the curves y = x² + 2, y = 4 - x, y = x…

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Q: Suppose that the number of crates of an agricultural product is given by 11xy-0.0002x² - 5y Z= 0.03x…

A: Suppose that the number of crates of an agricultural product is given by z=11xy-0.0002x2-5y0.03x+4y…

Q: Let z=f(x,y) = 20x² 25xy + 16y². Find the following using the formal definition of the partial…

A: Given : z=f(x,y)=20x2-25xy+16y2   To Find : a) ∂z∂xb)∂z∂yc)∂z∂x(-1,1)d)fy(4,-1)

Q: 3. A company determined that the price-demand and cost functions for selling x units of a certain…

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Q: Determine the following integrals: 1.1.1 ļ (cos2x+sin x) dx x+1 .1.2 1₁ JF dx x + 2x+1 2 1.1.3 | ₁…

A: ∫ sin(ax) dx =-cos(ax)a+C       and     ∫cos(ax) dx =sin(ax)a+C ∫xn dx = xn+1n+1+C Note : As per our…

Q: 2. Find each of the two areas bounded by the curves y = x³ - 4x and y = x² + 2x

A: Given problem:- Find each of the two areas bounded by the curves y = x3 - 4x and y = x2 + 2x

Q: Question Eight y s 8 7 5 4 14 4 3 -2 -1 The diagram shows the shaded region bounded by the curves y…

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Q: Evaluate the following integrals. 1. S 1- coth² (log2 x) x cosh(log₂ x) -dx π 3 (sin³ x) VT…

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Q: Given that -3 9+x² following functions: (-1)n+1 32n+1 4x (9+x²)² Σn=0 2. g(x) = x2n. Obtain the…

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Q: For the function f(x,y) = √y² + 5x², find f(2, - 5), f(− 1,2), f( – 3, – 5), and f(0,9). f(2,-5)=…

A: Given query is to find the value of the function at indicated points

Q: approaching

A: Please refer to the image below

Q: Use the linear approximation to estimate In (√0.99).

A: Given problem:- Use the linear approximation to estimate In(3√0.99).

Q: 3 4-3x S²³ So dx dy

A: To evaluate the given double integral.∫03∫04-3x dx dy

Q: Which of the following expressions gives the length of the curve defined by R(t) = tij +In tk…

A: We have to find arc length expression for the given vector function.

Q: Evaluate f(x³ -x + 1) dx a. 0.250 b. 0.500 c. 0.625 d. 0.750 e. NONE OF THE ABOVE

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Q: * (sin(2a) + cos(2x)) da Jo

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Q: Find the area bounded by the curve y = coshx and the x-axis from x = 0 to x = 1. a. 11.75 sq. units…

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Q: Evaluate the integral. SSS_* √x² + z² av E where E is the region of integration bounded by the…

A: To solve this put x=rcos(theta) And z=rsin(theta)

Q: Using the Ring or Washer method, what will be the equation of the volume of the solid formed when…

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Q: . Calc.   Test for exactness then solve. (2xy - sinx)dx + (x2 - cosy)dy =0

A: Differential equation

Q: Evaluate the multiple integral. * 131-x² SS S dz dy dx 100 0 2/3 5/3 4/3

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Q: 3.2.5 Test for exactness then solve. (x3+ xy2 − y)dx + (y3 + x2y − x)dy = 0

A: Given: (x3+xy2-y)dx+(y3+x2y-x)dy=0

Q: 3 2 พ 2 cos2 4x dx

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Q: 9. A child is flying a kite with a 45-ft string at an angle of elevation of 50°. Which of the…

A: Let's find altitude of the kite in feet.

Q: Given that R' (t) = 2ti — 2j + 3t² k and R(2) = i + j — k, then R(t) =

A: The objective is to find R(t).

Q: Test for exactness, then solve.  ey dx + (2y + xey) dy = 0

A: This question is related to differential equations, we will solve it using given information.

Q: I-1 I 1² +51 +8 dz

A: Given, ∫x-1x2+5x+8dx

Q: 3.2.2 Test for exactness then solve. y(2xy2 − 3)dx

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Q: Perform the integration. (sinh x)(coth→ x + csch3x) dx

A: A detailed solution is given below.

Q: 2. Find the interval of convergence of the power series & 3x गय

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Q: NUMBER 3 CLEAR AND SIMPLE

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Q: Perform the integration. x-1 S= dx x² + 5x + 8

A: ∫1x2+a2 dx =1atan-1xa+C

Q: PLEASE SHOW COMPLETE SOLUTION.   Find each of the two areas bounded by the curves y = x^3 − 4x and…

A: Follow the procedure given below.

Q: cos³ 3x sin 3x dx

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Q: II. Evaluate the following integrals. 2. (sin³x)√1 + cos x dx KIN k 플

A: Here is the solution:

Q: Evaluate the following integrals 2x ·S- -dx 2 5+2x+x

A: We know that ∫duu = lnu+C ∫1v2+a2dv = 1a·tan-1va+C

Q: If F(x) a. F'(1) L √4t - t² dt, evaluate the following: x² b. F(2), by interpreting F(2) as an area

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Q: 9 To express Q(x) = cos(4x-5) as the composition of three functions, identify f, g, and h so that…

A: The given function is  Q(x)=cos9(4x-5).

Q: Perform the following integration. 1. (sinhr) (coth² x + csch³ x) dx sec³ x tan x 2. S dx √2 + sec x…

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Q: Inventory Microbucks Computer Company makes two computers, the Pomegranate II and the Pomegranate…

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