Find the area of the shaded region. Round your answer to one decimal place. 0.5 4.5 -1.5 A -1 squared units 2 -g(x)=05r? -f(x)=-2x exp(-x²)

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Q: Suppose that sin(a) = 2/8 and cos(b) =1/8 define in the first quadrant, determine cos(a+b). (round…

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Q: Use integration by parts to integrate the following function. (16x + 16x + 5) In(5x) dx

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Q: Evaluate the integral √x³√x²-8dx. x² - 8 dx.

A: A=∫x3x2-8dx∫xndx=xn+1n+1+c

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Q: a. Find the linear approximating polynomial for the following function centered at the given point…

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Q: Determine the Wronskian of the following functions: f₁(x) = 1, f₂(x) = sinx, f(x) = cosx 0 1 O -1 O…

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Q: Find in sin (1 + 2x) + xy = ecosy dy d.x

A: Find derivative

Q: Find the length of the curve. x = 3t² +8, y = 2t³ +8,0 ≤t≤1 O 4√√2-1 O2√√2-2 4-√√2-2 O4√2 O None of…

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Q: question 1 please show all work! A projectile is launched straight up in the air. Its height (in…

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Q: Obtain the general solution. (EXACT EQUATIONS) 1. (3x²2y2) = 2xy dx

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Q: 9. Solve for t: e-0.07 0.05. Round your answer to 4 decimal places. =

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Q: Approximate the area under the curve y = x² from x = 3 to x = 6 using a Right Endpoint approximation…

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Q: For what a does the function f(x)=x² +50x100, 0≤x≤25, have its minimum value?

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Q: Solve the area bounded by the parabola y² = 4x and the line y = 2x - 4 in ways. Answer: 2 sq. units

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Q: 13. Use substitution to evaluate the integral: 2x(lnx)² dx. (Hint: let u = lnx)

A: Please refer to the image below.

Q: Use the graph to list f(x)dx, f(x)dx, and frosdx;ff'fox 10 fre f(x)dx in order from smallest to…

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Q: If g(1) = 5 and g' (1) = 2, find f'(1); where f(x) = xg(x).

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Q: Find the area between the curve y = x3 - 6x2 + 8x and the x-axis. Answer: 8 sq. units

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Q: af af Exercise: Find for f(x. y) = x² + y² ду дх

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Q: Obtain the general solution. (HOMOGENOUS EQUATION) 2. xydx(x + 2y)²dy = 0

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Q: Find (2u) x v for the given vectors. u=3i - 2j+ k, v = -3i + 3j+ 3k Select the correct choice below…

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Q: Given z = 9+5i, find the product z. Z. Z Z= (Simplify your answer.)

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Q: Number of equal real root(s) Number of unequal/unique real root(s) Number of imaginary roots Number…

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Q: Calculate h'(3) if O a. -32.00 O b. This derivative does not exist Oc.-21.00 O d.-8.80 Oe. -7.20…

A: Given expression of h( x ) h( x ) = xf( x ) + 4g( x ) Given f( 3 ) = -5.2 g( 3 ) = -2.9 f'( 3 ) =…

Q: Obtain the particular solution. (EXACT EQUATIONS) 3. 3y(x²-1)dx + (x³ + 8y − 3x)dy = 0, when x = 0…

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Q: Question 8 10 3Q 20 4x² + 2 " identify the interval on which f is concave down.

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Q: Find the Laplace transform of the following functions. 10. f(t) = sinh t-t² cos5t t

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Q: Evaluate the derivative of the following function. f(x) = (2x)³x f'(x) = (Simplify your answer.)

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Q: Let f(t) be the weight (in grams) of a solid sitting in a beaker of water. Suppose that the solid…

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