Find the volume of the wedge-shaped region (Figure 1) contained in the cylinder x² + y = 9 and bounded above by the plane z = x and below by the xy-plane. FIGURE 1

Q: 7) find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: 3. Use trigonometric substitution to evaluate Sx V9 – x² dx

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A: Given problem:-

Q: 6 foND THE EXACT LENGTH Of THE zt -2t PARAMETRIL y(e)=1+4t CURVE X= e te

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Q: 8. Find the volume of the solid generated by revolving the shaded region about x-axis. 10+y 9- y = -…

A: As per guidelines, I can answer only one question. Since you have asked for multiple, so I did first…

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Q: SIL- W : x² + y} < 9, 0<z<6

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Q: Solve the following integrals: 1. S–7e*dx 4. S 8*+1dx -6 2. S(2e* – 6*)dx 5. S-dx 3. S;(3")dx 6.…

A: ∫ex dx = ex+C ∫ax dx = axln a+C ; where, 'C' is an integration constant. Note : As per our…

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Q: 4.Graph one cycle of function given below. State domain, range, period, phase shift, vertical shift…

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Q: f(r) = Va +4 – 2 Complete the following table and use it to approximate lim f(r) (Round to six…

A: The given function is: fx=xx+4-2   So, at x=-0.1 f-0.1=-0.1-0.1+4-2=3.974841 At x=-0.01…

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A: Here we will find the curvature and radius of curvature,

Q: 13) wnite the crroesponding recferge equation for tue curve represenfed dy tue parametic equatias x=…

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Q: Find curl (8z i + 9x j+ 10y k). curl(8z i + 9x j + 10y k) = ( i )i +(i j + ( %3D i )k

A: solution is given below

Q: ||r(t) × r"(t)|| ||M(t)|| Use the formula k(t) to find k(t). r(t) = t²i + t'"j 242 t7 K(t) = (4+ 121…

A: Cross product

Q: (x=1² +3t – 1 + 3t – ; at t=-2. t-2 y = t² +1

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Q: Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x) = - 10…

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Q: 25. The graph of y = a* +b is shown below. Find the EXACT values of a and b. 6- (2,5) 4- 2- y = a*…

A: This question is based on substitution of points.

Q: Evaluate (2x - y) dx + (x + 3y) dy. C: arc on y = x12 from (0, 0) to (4, 8) 528/5

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Q: 5. Find the area of the region bounded by the xr-axis and the graph of f(x)= -over the interval (-o.…

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Q: Find the speed of the curve F(t) = (4cos (t), 4 sin(t), 6t) at t = 3 %3| Speed =

A: Consider the curve  r(t)=&lt;4cost2,4sint2,6t&gt;

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A: Given problem:- f(x) =  4x5 -5x4 -40x3 +5 To find:- a). Critical points  b) Use the First Derivative…

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Q: 6. The tangent to the function f(x) = ke2x at x = has slope 2e. Find the value of k.

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Q: 8. Describe the type of indeterminate form. Evaluate the limit using L'Hôpital's Rule if necessary.…

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…

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A: The solution is given in the next step.

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Q: Determine from the graph whether the function has any absolute extreme values on [a, b]. Where do…

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