A Consider triangle ABC drawn in a circle of radius 6 cm with vertex C at the centre of the circle, as shown. Determine the angle that maximizes the area of the triangle. (Make sure you verify that your solution represents a maximum.) 0 6 cm B

Q: Find the indefinite integral. (16x +13) In (2x)dx Select the method of integration that should be…

A: Integration by parts ∫udv=uv-∫vdu

Q: In spherical coordinates, the equation below describes what? O a plane O a cone O a sphere O a…

A: topic- spherical coordinate system

Q: Among all rectangular solids defined by the inequalities 0≤x≤a, 0≤y≤b, 0≤z≤ 1, find the one for…

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Q: Find the area of are a the region i) Sketch the ii) Determine the boundarien iii.) set-up the…

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Q: 6) F(x, y, z) = (xy²z4, 2x²y+z, y³z²) a) Find curlF. b) Find divĒ.

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Q: 4. Find an equation for the plane through (1, 3, 4), (2, 2, 3), and (3, 2, 1).

A: Given problem:- 4. Find an equation for the plane through (1, 3, 4), (2, 2, 3), and (3, 2, 1).

Q: 6.) I. Simplify. Write "undefined" for expressions that are undefin -3 -6 -2 6 619 1 4 -4 -4

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Q: Use the power series method to solve the given initial-value problem. (Format your final answer as…

A: Concept: Power series: To find a power series solution to specific differential equations, the power…

Q: 1. If F(x) = - eta dt, find F(1) and F'(x).

A: If Fx=∫exe et2 dt, then to find F1 and F'x.

Q: If the definite integral of (1 + sin y)dy with lower limit equal to zero is π+2, its upper limit is…

A:

Q: Find the reference angle, the quadrant of the terminal side, and the sine and cosine of 5π/4…

A:

Q: 7) Use the double integral of a cross product to find the surface area of x = z² + y that lies…

A: Let's find surface area  by using double integral.

Q: Evaluate the following integral. JIS x ln y tan z dV if S = = (x, y, z) € R³ : −1 ≤ x ≤ 0, e ≤ y ≤…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: √√1-25x² dx

A: This question can be solved by the concept of some special integrals.

Q: The equation y-(5)=2(x-(3)) in slope intercept form is y=?

A: The equation y-(5)=2(x-(3)) in slope intercept form is y=?

Q: For the rose r = 4 sin(20) and circle r = 2 shown in the figure. Find the area inside the rose and…

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Q: Using integration by parts for getting the integral of ex cos 2x will give way to another…

A: To find  ∫excos 2x dx we use the integration by parts and it will give another integral in which we…

Q: Use the chain rule to find where st the pieces: z = x²y + xy², x=3-t³, y=3-t6

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Q: 1 2 In|2|

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Q: Evaluate the following integral. JJ. xyz dV if S is the region bounded by the cylinders x² + y² =…

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Q: Find lul, Ivl, 12ul, |2v|, lu + vl, lu − vl, and _|u| - |v|. u= 5i + j, v = 2i - 4j

A: We need to calculate the magnitudes of given vector and evaluate the given expressions.

Q: Find the volume of the solid of revolution formed by rotating about the x-axis the region bounded by…

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Q: Find the area of the region bounded by y = 3x - x² and the x- axis. 9/4 9/7 9/2 9/5

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Q: State what the Divergence Theorem says, using your own words. You may assume that E is a solid in R³…

A: We state Divergence Theorem and explain it.

Q: What is the exact value of sin(255°) +sin(195°)?

A: find value of  sin(255) +sin(195) here this is trigonometric function  lets find value of this

Q: Which of the following is an appropriate choice for & when proving the following limit? lim(x² - 2x…

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Q: estion 9 s triple integral represents the volume of a cylinder. True False V = f²" f²f³ r dz dr do

A: To evaluate the triple integral.

Q: Evaluate f(x³ -x + 1) dx a. 0.250 b. 0.500 c. 0.625 d. 0.750 e. NONE OF THE ABOVE

A:

Q: -1 √ x²(3 – 4x) dx - -4 318 338 358 378 None of the Above 14 √√1 + 7x dx 25 -1 0 35

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Q: Find the general solution of the following DE. xy(y')² + (x² + y²)y' + xy = 0

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Q: IVICCE dy Find from the following equations dx Problem (iii) x³ + xy = 0

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Q: onvert the point p = (2,7) in the polar coordinate system to its artesian coordinate equivalent, and…

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Q: Solve the linear ODE using an Integrating Factor. dy dx - 3y = 8e5x

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Q: Graph two full periods of the function f(x)=cos(4x) and state the amplitude and period.

A: Given problem:- Graph two full periods of the function f(x)=cos(4x) and state the amplitude and…

Q: Typewritten for an upvote. No upvote for handwritten. Please skip if you have already done this

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Q: 7. What is the LCM of 16, 24, and 40? O15360 8 O 960 O240

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Evaluate: √x(x - 5)dx Solution: √ √x(x - 5) dx = f x²(x - 5) dx by law of exponents/ = f (x² - 5x)…

A: Given problem:- ∫√x(x-5) dx

Q: 4. x² + y² = 25 at point (3,4) 2

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Q: 3.lim X→π In(cos2x) (π - x)²

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Q: Estimate the double integral_R  (3xy^(2)+2x^(2)) dA where R= [0,1] x [0,1] by diving R into four…

A: We need to evaluate integral.

Q: A pilot heads his jet due east. The jet has a speed of 450 mi/h relative to the air. The wind is…

A: Let's solve all given questions.

Q: A straight river flows east at a speed of 11 mi/h. A boater starts at the south shore of the river…

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Q: Convert the Cartesian coordinate (-4,-2) to polar coordinates, 0≤ 0 < 2π r= 2√5 Enter exact value. 0…

A: We need to find polar coordinates.

Q: Vadas/3-V169 3. Construct a sign analysis for the second derivative function and then use it to…

A: Explanation of the answer is as follows

Q: s 3- 2- 1 1 -5-4-3-2 -3- The graph below can be represented by parametric equations of the form […

A: topic- parametric equation of a curve

Q: If f (x) = x(x - 1)³, then which of the following statements is correct? f(x) has a maximum point at…

A: We have to select the correct statement from the given statements.

Q: 2. Create a graph of a function which satisfies all of the given conditions. D = {x € R|x = -2} •…

A: The function satisfies the…

Q: cos (+h)-cos(3) COS h I {+h)- - 3 3 h 3. Evaluate lim →(7/3) COS 4. Evaluate lim ₁0 π Cos

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Q: The rate of change of revenue (in dollars per calculator) from the sale of x calculators is R'(x) =…

A: Here, the rate of change of revenue after the sale of x calculator: R'(x)=(x+5)ln(x+5)

Q: 2. Determine whether the vectors a and b are parallel, orthogonal or neither for the given a and b.…

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