The region bounded by x = 1 - y¹, x = 0 is rotate about the line y = -5. The volume of the resulting solid is:

Q: Let [ 13.5 f(x) dx = 8, 45 f (a) f(x) dx = 3 J4.5 9 (b) (5f(x) - 2) dx = J4. f(x) dx = 3, and Enter…

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Q: lim 0-4 In[(1 + h)² + 1] - ln(2) y

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Q: 6. The acceleration of the position function s(t) = 4t² - 8t + 2 when t = 7. a) 7 b) 48 c) 142 d) 8

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Q: Set-up and evaluate the triple integral for the mass of the box 1≤x≤2, 1≤ y ≤16, 0≤z≤ with density…

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Q: dx + 2x dx = 2x²y² dy

A: dx+2xdyy=2x2y2dy dxdy+2xy=2x2y21x2dxdy+2yx=2y2.......1equlet 1x=v differentiate with respect to y…

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Q: Find the limit, if it exists. If the limit does not exist, explain why. limx→∞((√x^2+2x) −x) You…

A: Given :limx→∞x2+2x-x

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A: The objective is to find the equation of tangent line.

Q: Find the limit, if it exists. If the limit does not exist, explain why. limx→2…

A: The limit is evaluated below.

Q: A department of roads and highways is doing a drive, a driver's rest area on the side of a highway.…

A: Ans=200 m  For detail...go through the solution...I have done solution in detail

Q: Find dy/dx by implicit differentiation. √xy = x5y + 56 dy/dx = X

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Q: B)Solve the differential equation =(3+x¹)+x²e³x.

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Q: Find the tangent line approximation T to the graph of fat the given point. Then complete the table.…

A: The function f(x)=csc(x), 9, csc 9

Q: رح 3 2 + + + + 32 - 2 -3x+2) 22م dx

A: I have stated the used formulas in the solution

Q: Given r(t)=t2i+5tj, find and completely simplify T(t) and N (t)

A: I am attaching image so that you understand each and every step.

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Q: Determine whether S is a basis for P3. S= (3-t, t3, 9t2, 8t + t, -1 + 3t) OS is a basis of P3. OS is…

A: Please see the below picture for detailed solution.

Q: Step 3 Rewrite the integration in terms of u and v. 110 Step 4 (cos w)ew dw = (cos w)ew - Again…

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Q: Use the appropriate compound interest formula to compute the balance in the account after the stated…

A: The balance in the account after 9 years ?

Q: Find the indefinite integral. (Use c for the constant of integration.) [(4t³i (4t³i+ 14tj -7√tk) dt

A: The given integral is;  (4t3i +14tj -7(sqrt(t))k).

Q: 13. Consider the functions f(x) and g(x) in the tables below. 5 6 7 8 f(x) 1 4 2 3 (A) g(x)= -f(x)+3…

A: topic- functions

Q: Question 20 (5 points) Find the limit. 00 ∞ 5 0 -15 Question 21 (5 points) Find the limit. 0 1 00…

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Q: Evalute ff Rx²dA, where R is the region in the first quadrant bounded by the hyperbola xy = 16 and…

A: The given integral: ∫∫Rx2dAWhere R is the region in the first quadrant bounded by the hyperbola…

Q: 2) Consider the DE: y" + 25y = 0 A) Verify that y = C₁ cos 5x + c₂ sin 5x is a solution of the given…

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Q: Evaluate xdx A√²+x+1-³x+2+ √(x + 2)² +²1+C B. √² + x + 1 - ² 1 x + ³ + √(x + 2)² + ² 1 + C…

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Q: 5: Find the volume of the solid which is generated by rotating the region bounded by y=√x, y=x-2 and…

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Q: How much must be deposited today into the following account in order to have $65,000 in 5 years for…

A: Given :Future value =F=$65000Present value =P=?Rate = r=6%=0.06Time=t=5 years

Q: Consider a continuous function f(x). The function has critical points at x = 0, x = 2, and x = 3.…

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Q: Consider the following situation, which involves two options. Determine which option is less…

A: To find out which one is less expensive.

Q: a 3. Sketch the graph of +₁ f(₂)=1₁ continous function & $²(2)=0, the point (2,1) is 2 £ is…

A: Let's solve.

Q: 6. f(8x³ - 6x² + 12x −9)dx

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Q: (b) (c) 0 (69) (89-19) 0 0 0 0 0 0 1 2 3 (9) (6 9.6 9.6 2 1 0 0 0 1 0 4. Determine whether the…

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Q: compound proposition (PnQ)-(PUQ) is a

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Q: Find normal line and parallel plane to the function f(x, y, z)=√xyz - 4 At point (1,2,8).

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Q: Find the derivative. G(t) = sinh(ln(t))

A: Topic = Derivative

Q: 21) In a triangle ABC, B = 65°, C = 45° and a = 10. The measure of angle A is : a) O 90° b) O 80° c)…

A: I am attaching image so that you understand each and every step.

Q: Sketch the function  f(x)=-x3-3x2

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Q: B. A rock is vertically thrown upward from the surface of the moon at a velocity of 24 m/sec. 2 The…

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Q: Example Two tanks T₁ and T₂ each contain 100 gal of water each. In T₁ the water is pure, whereas 150…

A: AS WE KNOW THE GENERAL FORMULA IS dy1dt=inflowminconcentration of…

Q: Find the curl of the vector field F curl F = (2y cos(x), 5x sin(y))

A: F = (2ycosx , 5xsiny) find curl F =?   curl F  = dF2/dx - dF1/dy here  F1 = 2ycosx  F2 = 5xsiny now…

Q: The combined electrical resistance R of two resistors R₁ and R₂, connected in parallel, is given by…

A: To find the rate of charging.

Q: 2. At a local maximum point f '(x) = 0. a) always b) sometimes 3. If f '(x) = 0, then the point (x,…

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Q: Consider the three matrices A = (b) 2 -1 1 0 -1 2 94-1 B = 2 y and C = −1 multiplication is…

A: The objective of the question is determine sizes if possible and evaluate the values x,y and z.

Q: Find the antiderivativef e* sinxdx A.je*(sinx – cosx) + c C. e*(sinx — cosx) + c Find the…

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Q: Consider the differential equation x²y" + xy + y = 0; cos(In(x)), sin(In(x)), (0, ∞). Verify that…

A: Solve couchy Euler differential equation by putting y=x^m

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Q: A rectangular base box must be constructed, with a sheet of cardboard 40 cm wide and 50 cm long,…

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Q: Find the radius of convergence and the interval of convergence. xk k(k + 5) Radius of convergence:…

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Q: Find d7 dx> d7 dx7 -(46 In(x)). -(x6 In(x)) =

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