What is the area of the region bounded to the right by x = -y²+2 and to the left by x = y²? 5432- 517345 543-2-1 2345

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A: 1. Given thathere need to substitute

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Q: s dx ²√x² x² - 81 x² x = 9 sec (0)

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A: The function will be continuous on an interval where it is completely defined.since, we know a…

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Q: Find the partial derivatives gæ, gy and 9% for the function g(x, y, z) = xy + x² z − yz³

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Q: The function y = Ce-2 +3 Solves the differential equation y' + 3y = -2y + 6. O true false

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Q: What is the total change of f(x), if f'(x) = cos(2.5x), over the interval [0, π ]? -1 -0.4 0.4 0.6

A: The derivative of f(x) is

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Q: Consider the following vector function. r(t) = ( 26, 12², 1²) (a) Find the unit tangent and unit…

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Q: True or False (Mean Value Theorem): For the function f(x) = 7+√ on the interval [0,9]. If f' (c) =…

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Q: 3. Determine the equation of the tangent line to the curve: y = MacBook Air 1 2 3x² when x = -1.

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Q: Problem 13 Find the solution of the initial value problem x' = Ar, with A- (₁₂2) and 2(0) = (-¹₁).

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Q: Multiply and simplify completely: √12x³y¹5. √√6x²y-7 Your answer will be in the form A√B, where A…

A: We need to multiply and simplify the given expression.

Q: What is the area between the curves y= integrating with respect to x.). O ! (6) WIN = ² and y=-x² +…

A: y=x2 and y=-x2+2x

Q: Evaluate the definite integral foto tº cos(t5)dt: 5/π/2 Step 1: Start by making the substitution…

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Q: Suppose that fx cos(x²)dx = G(x) + C = F(x). Determine the constant of integration C if F(0) = 2. 0…

A: Given Integral  ∫xcos( x2 )dx∫xcos( x2 )dx = G( x ) + C Given condition F( 0 ) = 2

Q: The function H(t) = −16t2 + 48t + 12 shows the height H(t), in feet, of a cannon ball after t…

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Q: Compute the partial sums S2, S4, and S6 of 1 1 1 1 + + 12² 24² 36² 48² (Use symbolic notation and…

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Q: How long do you need to invest your money in an account earning an annual interest rate of 5.177%…

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Q: 3 For the differential equation: (), what is the slope at (0,2)? √2y² +1 O 9 O 1 O

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Q: 20. lim x-0 cos mx 2 x² Cos nx

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Q: 1. The function is given piecewise: ƒ(x) = cos(x) 0 X if x 0

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Q: 3. Determine the equation of the tangent line to the curve: y = 1 3x 2 when x = -1.

A: The curve is y=13x2

Q: Use integration to find f(4) if d = 2x² and f(1) = 6.

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Q: Q3: Solve the differential equation by the Laplace: (choose one) 1. y" - 3y' + 2y = 16e³t 2. y" +…

A: Note : as per guidelines we support only first question.kindly repost next question.

Q: 20. Find the area of the region between the curve y sin x and y = cos x from 0 to π/2. a. 0.414 b.…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: 3) Determine the Cartesian equation of the plane that has x-, y-, and z-intercepts at 3, -2, and 1…

A: The intercepts are: x-intercept , a = 3y-intercept , b = -2z-intercept , c = 1 To determine: The…

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Q: Solve each of the given triangles (i.e. find the lengths of the missing sides). Parta) Part b) 160°…

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Q: Select the basic integration formula you can use to find the indefinite integral. 1 이 U 7 (7t - 9)²…

A: The given integral is ∫77t-92+100 dt

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Q: What is the approximate volume of the solid created when the region under the curve y = cos z on the…

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Q: 1. Solve for x. Round your answer to two decimal places. 2x a) e = 12 4x-3 b) 12 = 3e c) en (2x+8) =…

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Q: (ln(t))4 dt t

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Q: Find the local linear approximation of f(a) = 2√ at x = 4. Oy=(x-4) O y-2√x-4 Oy=4 Oy=x+2

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Q: Find the vectors T, N, and B at the given point. T = N = B || r(t) = (5 cos(t), 5 sin(t), 5…

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Q: Use the substitution z = 6 tant, -≤t≤to simplify the following integral: dz 36 +22 Note that you may…

A: By using the substitution x=6 tan t, -π2≤t≤π2 to simplify the  following integral. ∫136+x2 dx

Q: Write the equation of the line passing through the two points (-1,2) and (1, 3) in the form y = mx +…

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