denote the time (in hours) that Ashley spends doing cardiovascular work. Let y denote the time (in hours) that she spends on weight training. Shade the region corresponding to all values of x and y that satisfy these requirements.

Q: Find the area of the region. y = x2 − 3x,  y = 4x

A: First graph the given curves.

Q: Find the area of the region bounded by y=0 and y = -5x + x° 47 42 37 42 57 21 57 42 37 21

A:

Q: area

A:

Q: Sketch the region A= {(x, y)|(y>-log, x)^(y Sx²)}.

A: The region,  A=x,y|y>-log2x∩y≤x2

Q: Sketch the region enclosed by the given curves. y = Vx. y =x, x = 25

A:

Q: Find the area of the shaded region. y y= v x 1 1, 1) X= 27 1 y = 10 15 20 25 2. 4.

A: Given query is to find the area of the shaded region.

Q: Find the area of the unbounded shaded region. 2x y = x2 + 2 y 0.5 1

A:

Q: Find the area of the shaded region. y y = Vx 3 마1, 1) x = 27 1 y = X 5 10 15 25 20 2.

A: The area under the graph can be determined by integration. Let, Boundary points are, x1=1 and…

Q: Evaluate ∭6x dV for the region W: x^2+y^2 ≤ z ≤ 36.

A:

Q: Compute I| (x – y) dA, D is the region in the second quadrant enclosed by x2 + y2 = 5 and x2 + y? =…

A:

Q: Find the value of c such that the area of the region bounded by  y = x2 − c2 and y = c2 − x2  is…

A: Given: Area of the region bounded by  y = x2 − c2 and y = c2 − x2  is 72.

Q: Find the area of the plane region bounded by y = x°, x = -2 and x = 2. %3D Answer:

A:

Q: Find the area of the region enclosed by x = y and a = 1. %3D

A:

Q: Evaluate SSA, dA, where R is the region bounded by y=x2 and x = y² in the first quadrant. X

A:

Q: Find the area of the region bounded by y = x', x = y°, and æ + y= 2. = x²,

A: Given: y=x2 ,x=y3 and x+y=2 Graph:

Q: Sketch the region enclosed by the curves à - 5 = 4y and x − 21 = (y — 4)², and compute its area.

A: x-5=4y⇒x=4y+5     x-21=(y-4)2 ⇒x=(y-4)2+21 Area between the curves…

Q: express the intergral ∫∫2x dA, as iterated intergral, where R is the region bounded by y=x+12 and…

A:

Q: : Find the area of the region R enclosed by the lines y= x, y x/3 and y = 2?

A:

Q: Find the area of the shaded region. y 4h 3 y = V x 2 1 1, 1) X = 27 1 y = 5 10 15 25 20

A: Topic- application of integration

Q: Find a vertical line x=k that divides the area enclosed by y=x^2, x=2, and y=0 into two equal parts.

A: Given,

Q: . Sketch the region enclosed by y= 9-x and y = 0 and calculate its area. 14.

A:

Q: Find the area of the shaded region. 44) 2) (II/4, 2) TE: II II 2 311 4 y = 2 y = csc²x X

A:

Q: Find the area of the region R enclosed by the lines y = x, y = x/3 and y = 2?

A:

Q: Find the area between x = y2, x - axis, x =y +2 To find the intersect points

A:

Q: Find the area of the shaded region.

A:

Q: Find the area bounded by the ff. curve and line: y = xe^– x , the x-axis and the maximum ordinate

A: The curve y=xe-x, we have to find the area bounded by the curve, the x-axis and the maximum…

Q: Find the area of the region bounded by x² = 1- y and y=x– 1 Hint: Use vertical strip

A:

Q: O R is the region bounded by x = y(8 – y) and the y-axis.

A:

Q: . A factory that makes smartphones z is thousands of phones, and a m the area of the region above…

A: Given: Marginal cost of smart phones, numbers of phones, marginal revenue function. To find: Area of…

Q: Find the total area between r

A: Given: r=4sin(θ)r=7sin(4θ)

Q: y y = x 1 y = x V1 – x2

A:

Q: Start with the area bounded by y = x^2, y=0 and x=2, then rotate around the line x=3

A:

Q: Determine the area of the region bounded by y = y = 2x and x =4. 6.45 57.17 O 1.57 O 23.91 O 7.50…

A: We have to determine the area of the region bounded by the curves y=8x, y=2x and the line x=4. First…

Q: Find the area within the curves y = 25 – x², 256x = 3y², and 16y = 9x %3D %3D

A:

Q: Find the area of the region bounded by x = the horizontal strip. y²+1 and the y-axis using

A: Find the area of the region bounded by x= 1/(y2+1) and the y-axis using the horizontal strip.

Q: Find the area bounded by the curve c²y=x³, the x – axis, and the line x =2c.

A: We find the area bounded by the curve using the integration. Before finding the area, first, we will…

Q: Evaluate ]] 6z°dxdydz , where V – is the region below 4x+ y+2z=10 in the | V first octont

A:

Q: Evaluate xy dA R over the region R enclosed by y = x/2,y = VI, I = 2 and r = 4.

A:

Q: Find a vertical line x = k that divides the area enclosed by x = y , x = 2 , and y = 0 into two…

A:

Q: Find the area bounded by y=2x-x^2 , the x – axis, and the lines x =0 and x= 4.

A:

Q: Find the area of the region:  R={ xϵR2 | x=0, y=3x2 , y=4-x2 }.

A: The given region is R=x∈ℝ2| x=0, y=3x2, y=4-x2 The objective is to find the area of the region.…

Q: Find the area of the region enclosed by y = –x² +6, y = x, y = 5x, and x > 0.

A:

Q: Sketch the region A={(x, y)|(y< log, x)n ys s}.

A: Explained below

Q: Vĩ + Vy = 1, x = 0, y = 0

A:

Q: Find the area of the shaded region. y 3 y = Vx (1, 1) x = 8 2 8. 2)

A: We have to find the area of the shaded region.

Q: Find the area of the plane region bounded by y = x2 - 4x and y = x(2-x). Answer:

A:

Q: Start with the area bounded by y=x^2 , y=0 and x=2, then rotate around the line y=4.

A:

Q: Determine the area of the region enclosed by y = x² and y = Va.

A: In the given question we have to find the area of the region enclosed by the curve y=x2 and y=x.…

Q: define the region bounded by y = 0, y = 4√x, y = 24 − 2x, and y = x − 4 using vertical and…

A: Given curves are y=0, y=4x, y=24-2x and y=x-4. We have to define the region bounded by the given…

Q: 4ay = x2, and y = x + 3a

A: