Find the volume of the solid whose base is a triangle with vertices (0, 0), (0, 3), and (2, 0). Slices perpendicular to the x- axis are semicircles. Enter answer using exact values. Provide your answer below:

Q: 03: Fill in the blanks in the following: 1. If a (3,-2, 6) and b=(4,-1,-6) the axb = ******** .

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Q: Q2: test if (AB)¹ = B¹A¹ A = 4 1 4 -3 61-63 0 2 B = 0 2 L3 5.

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Q: f(x)-f(a) a. Use the definition mtan = lim x-a x→a b. Determine an equation of the tangent line at…

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Q: Evaluate (x²sin y-xcos(y)) dy A x²(1+ sin(1))-xcos (1) + C B x²(1-cos(1))-xsin (1) + C C 2sin…

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Q: Arrange the choices in order 1,2,3.. to prove: For any sets A, B and C Ax (BUC) = (A x B) U (A x C),…

A: SOLUTION-

Q: 1 2 3 4 5 ements below that you agree with. be checking more than one box. No partial credit.…

A: Topic:- calculus

Q: A conical water tank has its top at ground level (consider this to be the x-axis) and its base 12 ft…

A: Let's find total work(W).

Q: Find the general solution of the differential equation: y' - 5y = te-2t Use lower case c for the…

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Q: === =+ = ²x² 6 2x Find the arc length given: y = - on the interval [1,2]

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Q: (x²-1) + 2y = (x + 1)² dy dx

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Q: 4. Given z = *-y x+y Find az/ax

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Q: (e) Use any test to determine whether the series is absolutely convergent, conditionally convergent,…

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Q: In the quadratic equation Ax² +BX+C =0, describe the roots when B²-4AC is zero. A The roots are…

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Q: The angle between vectors A = 91-j+5k and B = (-2,7,1) is.. ******

A: According to our terms and conditions,we can only solve one problem at a time. So please repost the…

Q: and

A: We have to find the solution of the given differential equation

Q: B. The vector = (4, -2, 1) ends at the point P=(7,-7,2). At what point does the vector start?

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Q: Given f(x,y) = x²y-3xy³. Evaluate (A) 2x²-12x B (C) (D) -6y3+8y/3 14y-27y3 6 6x² - 45x 4 2 1 fdx

A: Topic = Integration

Q: What is the amount of work done on a spring when it is compressed from its natural length of 1 meter…

A: Compress from the natural length through 1-0.8= 0.2 meter spring constant 'k'=16 N/m

Q: 2. The Minimum point of y= 8x+4 (x-2)²

A: To find the minimum point of y=8x+4x-22.

Q: (c) 2x2(4x6)2 (d) (3x-2)-4-4

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Q: Rewrite the Cartesian equation y = r(0) = = Enter theta for 0 if needed. 2x² as a polar equation.

A: In this question, we need to convert the given cartesian equation to polar equation.

Q: (a) √738(t - 4)dt (b) 738(t + 2)dt (c) √²38(t+4)dt (d) f²3x²8(t-4)dt (e) ¹3x²8 (t+2)dt -3 (f) ²3x²8…

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Q: test if (AB)¹ = B¹A¹ A = 4 1 0 2 L3 5. B = 14 0 2 - -3 1

A: To test if ABt=BtAt.A=410235, B=14-3021

Q: Arrange the choices in order 1.2.3.. to prove: For any sets A, B and C A x (BUC) = (A x B) U (A x…

A: Here we have to arrange the option.

Q: A man that is 5 feet tall is walking in a straight line at a rate of 3 ft / s towards a lamp post…

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Q: Find the slope of the tangent line to the graph of the given function at the given value of x. 1/2…

A: We want to find slope at the point x=25

Q: 4. Lim ¹G- X-0 1 Arctanx.

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Q: culate √2-4i. Give your answer in a + bi form. In polar form, use the angle 0 < 2TT.

A: Topic:- complex number algebra

Q: Evaluate (x+2√Y) ds where C is given in the accompanying figure. (x+2√y) ds =D (Type an exact…

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Q: Find the transition points. y = 3x² - 42x6 (Use symbolic notation and fractions where needed. Give…

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Q: Evaluate the following definite integral using substitution rule. 1. (2x - 1)² dx 2. fx √x² + 1 dx

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Q: Using Fundamental Theorem of Calculus (FTC). Compute the following

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Q: 5. y = 5 tan x³ + sec (3x)

A: Topic = Derivative

Q: A man 5ft tall is walking along a straight line at a rate of 3ft/s towards a lamp post that is 15ft…

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Q: 3 2. x1 + x² dx

A: Definate integration

Q: Reverse the order of the integration ² dy dx + 2 dy dx equal:

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Q: 4. 2x³y = y (g2 + 3z2)

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Q: The area bounded by y=1-x²₁ x+y=1 and the x-axis is submerged vertically in the water with the water…

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Q: Q1:Discussion a continuity of the function f(x,y) sin x (x, y) = (0,0) f(x, y) = x (x, y) = (0,0)…

A: To find whether given function is continuous at (0,0) or not.

Q: test if (AB) =B¹A¹ A = 4 0 L3 1 2, B = 5. 4 -3 14 02

A: We  can check the matrix as below

Q: a particle moves a long a straight line with equation motion s=t^2-3t+2. find the value of t at…

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Q: A region is bounded by the y=x² and y=6x-x2, Which of the following integrals would approximate the…

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Q: Simplify to an expression involving a single trigonometric function. Please show work so i can…

A: SOLUTION-

Q: Let f(x)=2x - 4x + 5. a. Find the values of x for which the slope of the curve y = f(x) is 0. b.…

A: Topic = Derivative

Q: T Use Wallis' formula: sinº (1) cos² (1) dx

A: Follow the procedure given below.

Q: dy 3. dx + y = 2xy² ex

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Q: 5. Solve the differential equation. 2xy¹ = x² +2,_y(1)=−3 dy dx Write Answer In Simplest Form And…

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Q: Determine the magnitude of the vector sum V-V₁ + V₂ and the angle 8, which V makes with the positive…

A: We have to find the vector and angle.

Q: (e) Find the exact length of the curve. x = e cost, y = et sint, 0 ≤ t ≤n.

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Q: 8. f₁(r + 1)²dr Hint: square first

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