Find the area of the region enclosed by the curves y=x^2 and y=6x by integrating with respect to y. Blank 1 sq. unit. Blank 1 Add your answer

Q: 3z-2x² -1 (2z–1)®

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Q: 2 dt 22. Evaluate o v9– 2t² 2 dy 3-y³ 24. Evaluate o v8-y'

A: 22)I=∫0129-2t2dtt=32 udt=32 duI=∫29-9u2 32duI=2 ∫11-u2 duI=2 sin-1uI=2 sin-12 t301I=2 sin-1(23)

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Q: POPULATION DYNAMICS Assume that the population of the greater roadrunner in the Guadelope Desert was…

A: Given that: K=750, r=0.25. Initial population N0=250.   Population formula is = Nt=K1+K-N0N0e-rt.…

Q: Compute for the net area bounded by y = 0.75x2 - 3x and the x-axis (note: 1 box/gridline equal to 1…

A: Here, form the given figure: A=∫04(0-(0.75x2-3x))dx=∫043x-0.75x2dx

Q: Evaluate r(3+2r + r²) Find the limiting values of: 3x2 + 5x – 4 5x² – x + 7. x² + 5x – 4 Зх + 1 -…

A: 1. ∑r=18r3+2r+r22.a) 3x2+5x-45x2-x+7b) x2+5x-42x2-3x+1

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A: We need to find distance.

Q: dæ Evaluate: x/9x² +4 A) None of the above V9x² + 4 + 2 B f (x) = -2 ln +C %3D 3x © s(12) = -- In f…

A: I=∫dxx9x2+49x2+4=t9x  dx9x2+4=dtdx=9x2+49x dtI=∫19x2 duI=∫1u2-4 duI=∫1(u-2)(u+2)…

Q: Current Attempt in Progress Let a = ci +jandb = 9i + 45j. Find c so that a and bare orthogonal. c =…

A: Given :a=ci+j and b=9i+45jTo find : The value of c so that a and b are orthogonal.

Q: Find the Laplace transforms of the functions: (a) f(t) = t² (b) f(t) = t – 2e3t |

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Q: whole number.)

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Q: c) Find an equation for the plane parallel to the plane 2x – y + 2z = -4 if the point (3, 2, –1) is…

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

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Q: What is the area of the region bounded by the graphs of y = æ and y = 2? Answer is in square units.…

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Q: 1) Sketch the curve. a) r=-2 sin O r = -2 sin O Show All Work

A: Explanation of the answer is as follows

Q: dy The linear differential equation dx 2 has the integrating factor equal to (Note: Simplify or…

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Q: sing the four step rule, find the derivative of y = tan(x) %3D

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

A: We have to  find the unit vector in the given direction.

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Q: a) Determine whether the following differential equation is a type of linear equation or not, i.…

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Q: 9) Find the point on the line y = 3x - 4 that is closest to (2, 1).

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Q: 1 hence find u Given that y =u – 5u' and x dx 2(1-15u") a. 3 u 2(15u 1) Ob. 3 u (15u? -1) 2 u'…

A: The objective of the question is evaluate the derivative and choose the correct option.

Q: Find the area of the surface given by z = {x, y) that lies above the region R. F(x, y) = Va2 - x2 -…

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Q: Using the FOUR-STEP RULE, find the derivative of y= tan(x) %3D

A: Given query is to find the derivative of the expression.

Q: xdy- ydx 4. The exact differential d what is the

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Q: Intermediate-Value Theorem from Intermediate-Zero Theorem? b. Right-Hand Continuity from Left-Hand…

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Q: x - 3 7. S V25- (x-2)2 dx 8. S tan5 (2) dy

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Q: Use a calculator to find an approximation for 2.15 2.1528 ... 2.1528 =O %3D (Round to the nearest…

A: Solution: Given data, 2.152.8=?

Q: iv)Find the acceleration after 1s? After 3s? v) Find the total distance travelled during the first…

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Q: Maxima/Minima Classify all the critical point(s) of f(x, y) = 2a3 + 6xy? – 3 – 158iad maximum and…

A: The given function is;  f(x)=2x3+6xy2-3y3-150x.

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Q: 8) The perimeter of a rectangle is 56. Find the length and width of such a rectangle that would have…

A: Explanation of the answer is as follows

Q: By substituting y=xv, solve the given differential equation, (2xy+ x²) dy = 3y² + 2xy with dx the…

A: The given DE is: 2xy+x2dydx=3y2+2xy⇒x22yx+1dydx=3y2+2xy⇒2yx+1dydx=3yx2+2yx⇒dydx=3yx2+2yx2yx+1

Q: 1. The lincar differential equation has the integrating factor equal to (Note: Simplify or solve the…

A: Given : dydx=1-xxy=-2x   To Find : Integrating Factor

Q: 4) Find the equation of the plane that passes through the point (6,0, 2) and contains the line x = 4…

A: The plane that passes through the point (6, 0, 2) and contains the line x = 4 − 2t, y = 3 + 5t, z =…

Q: I) Consider the function: y = + C,e2x + C,e-5x + Czxe-5x

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Q: . Integrating factors found by inspection.: y(x² – y² +1)dx–x(x² – y² -1\dy = 0

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Q: An open rectangular box has an area of 441 cm2. If its length must be 3 times its width, find its…

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Q: 3. Give the parametric and symmetric equations of the line that passes through the point (4,-3,5)…

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Q: Find two unit vectors in 2-space that make an angle of 45° with 8i + 5j NOTE: Enter the exact…

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Q: 3. Find the equation of the tangent plane and the equations of the normal line to the surface z = In…

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Q: 2. [sin? x cos' x dx 4. [ cos’ 0 d0

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Q: Find unit vectors that satisfy the stated conditions.

A: I have provided this answer with full description in step-2.

Q: xdy – ydx The exact differential what is the d

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Q: Use the derivative to find the exact critical points and intervals of increase and decrease for f(x)…

A: 1. Local maximums and local minimum values2. fx=4x3-21x2-24x+5

Q: 3. Determination of integrating factors: 2y(x+ y+2)dx +(y² - x² -4x-1)dy = 0

A: The given differential equation is  2y(x+y+2)dx+(y2-x2-4x-1) dy=0. Repost the next question.

Q: Compute for the net area bounded by y = 0.75x2 - 3x and the x-axis (note: 1 box/gridline equal to 1…

A: topic-  area bounded by curves

Q: If the function f(x) below is continuous at x = 0, find the value of a 1- cos(4x) x 0 l/16+ vx) –…

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Q: rative: y = (V3x – 5)(3x2 - 7). %3D

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Q: To evaluate sin e de , factor sin³e as (sin²e) ² sin® and let sin²0 =-(1- cos20). A True B False

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