Find the area between the curves f(x)= 0.9x2+6 and g(x)= x on the interval [-2,5].

Q: Let a = (4,6,5) and b = (3,1,1) be vectors. Compute the cross product a × b. ax b = ,

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Q: Don't use chat gpt , previous answer is wrong

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Q: Q(4) The engine block M with a mass of 250kg is suspended from the pulley system in Figure Q4. What…

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Q: Evaluate the line integral Lxydx + x²y³ dy where C is the positively oriented triangle with vertices…

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Q: Use cylindrical coordinates. Evaluate 2 [S] √x² + y² dV, where E is the region that lies inside the…

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Q: 4. 3

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Q: 10 logio (10x) dx = 1/10 ○ 31n10 ○ 21n10 ○ 101n2 ○ 10ln3

A: Step 1: ∫101​10​xlog10(10x)​​dxFirst we will convert log to ln. As log10(10x)​=log10e​loge(10x)​Then…

Q: Exercise 5. Calculate the following integrals using cylindrical coordinates. a) fff(x²+ y²) dxdydr…

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Q: 5. Determine if the following pair of planes are perpendicular. π, 9x-3y-5z = 20 and ₂…

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Q: *Use first derivative test

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Q: Solve xy' = 3y — 5x, - y(1) = −2. (a) Identify the integrating factor, a(x). a(x) = (b) Find the…

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Q: Find the Maclaurin series for f(x) using the definition of a Maclaurin series and find the…

A: Step 1:​ Finding Maclaurin series of 4cos(x)​​Step 2:​ A Maclaurin series is given by…

Q: Approximate the area under the curve graphed below from x = approximation with 3 subdivisions. 3 to…

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Q: Find the derivative of the inverse of the given function at the specified point on the graph of the…

A: If you find this answer good please rate it helpful. If any query then raise it.Thank You!

Q: 5 √² Using the method of u-substitution, (4x-7)² dz- f(u) du where u = du a = b = f(u) == The value…

A: Given:I=∫25​(4x−7)2dxLet u=4x-7Therefore,dxd​(u)=dxd​(4x−7)dxd​(u)=4dx=4du​Also,u=4x-7, when x=2,…

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Q: Please do the following questions with full handwritten working out.

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Q: When estimating distances from a table of velocity data, it is not necessary that the time intervals…

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Q: Find a polynomial that will approximate f(x) throughout the given interval with an error of…

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Q: Use left and right end points and 4 rectangles to find two approximations of the area of the region…

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Q: Sketch the region bounded by the graphs of the equations. Find the area of the region. f(y) = y² + 7…

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Q: Determine if the series Σ(-1)" 5n 1/2 + 3 converges 3n² - 3 n=1 absolutely, converges conditionally,…

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Q: Use the washer method to find the volume when the region between y = x + 2, y=2x-1, and x = 0 is…

A: Step 1: To find the volume using the washer method, we integrate along the y-axis. The washer method…

Q: Let C be the curve parametrized by the equations.  x = e^2t - 2t, y = 4e^t (a) Find dy/dx in terms…

A: To find (dxdy​) in terms of \( t \), you can use the chain rule, given (x)and  as functions of (t).…

Q: 00 n=1 (-1) "200 n0.7 For the series below calculate find the number of terms n that must be added…

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Q: 4. 7

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Q: The temperature of the earth is rising, as a result of the "greenhouse effect," in which carbon…

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Q: 2. Consider the following. S S Y 14. dA, D = {(x, y) | 0 ≤ x ≤ 6, 0 ≤ y ≤ √√x} x2 +1 (a) Rewrite the…

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Q: 2. Assume that f is continuous on [1,5] and that f(1) = 20, f(5) = 100. Determine whether each of…

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Q: Find the derivative of y y = log2s e-logs√x (-x-1)/(xln5) ○ (x-1)/(xln5) (x-1)/(2xln5) ○…

A: Step 1: Step 2: Step 3: Step 4:

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Q: 9) 40 ft The 40 ft diameter waterwheel at Deleon Springs State Park is an old sugar mill that turns…

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Q: 1-x We want to compute dr.

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Q: An antique table increases in value according to the function v(x) = 750(1.01)* dollars, where x is…

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Q: Find T, N, and к for the plane curve r(t) = 9t i + 9 In (cos t) j, - T(t)=(☐)i+(☐)j N(t) = ( ☐ ) i +…

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Q: Please see image

A: The statement you provided is a consequence of the Monotone Convergence Theorem. Monotone…

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Q: Solve the triangle. C = ° (Do not round until the final answer. Then round to the nearest degree as…

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Q: Solve 1xy' -4y = x¯ 1xy4y 4, y(1) = −3. (a) Identify the integrating factor, a(x). α(x) = (b) Find…

A: Step 1: Step 2: Step 3: Step 4:

Q: 5-10 Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the…

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Q: Consider the elipse with equation x^2+4y^2 =4  (a) Find a parametrization of the elipse that…

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Q: Find the area of the region. interior of r² = 36 cos(20)

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Q: 24. Write a vector (-3, 22, -3) as a linear combination of the vectors (-1, 2, 3) and (0, 4, -3).…

A: 24)  (−3,22,−3)=a(−1,2,3)+b(0,4,−3)(−3,22,−3)=(−a,2a,3a)+(0,4b,−3b)(−3,22,−3)=(−a,2a+4b,3a−3b) To…

Q: 2) Find the equation of the curve whose slop 12 B) T= r The rate of change of the temperature, T (in…

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Q: What is the most preferred flavor of coffee at Starbuck? A survey was done with 40 customers of…

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