valuate f¹² Vsin x + 1 cos x dx.

Q: ㅠ y = 2sinx and y = 0 from x = 4 ㅠ to x = .

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Q: Question 16 The area bounded by y=1-x²₁x+y=1 and the x-axis is submerged vertically in the water…

A: We need to choose correct option.

Q: Write the equation of a circle with a center at (2, -3) and a radius of 4. ( x - 2) 2 + ( y + 3) 2…

A: To write the equation of a circle with a center at (2, -3) and a radius of 4.

Q: Identify the focus and directrix of the parabola: y = -4(x - 2)² - 3. f: (1, -4), d: y = 2 f: (2,…

A: If the equation of parabola is of the form x-h2=4py-k(i)  if p>0  then focus is h,k+p  and…

Q: The graph C' of the equation y = gives the course taken by an oil tanker after leaving port, which…

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Q: Find the exponential function f(x) = Cbx whose graph is given. y (3,500) f(x) = (1, 20) X i

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Q: What integration technique can be used to integrate: Integration Formulas Trigonometric Substitution…

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Q: Given f(x,y)=x-exy, evaluate fy(3,0). 06 O 27 O 9 O 13

A: topic- partial differentiation

Q: Find the area bounded by y=-x²+1, y = −2x+2, x=-2, and y=2. A 16/3 B 5 None of these D) 4/3 E) 1/3

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Q: Find the area of the region bounded by the curves y = x²y = x² and ² 01/2 02 O 1/3 O 2/3 = xy = x.

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Q: 7)Given the following exponential function f, where c > 1. f(x)= a (c))+k In addition, a < 0, b < 0,…

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Q: 2. Evaluate the integral. Do not use hyperbolic functions as the final answer. 1 =dx 2 √3x² - 4…

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Q: The region in the first quadrant bounded by the graph of y=8-x3/2 the x- axis, and the y-axis is…

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Q: 2. Given the following logarithmic expression: log, 1+ 2log 5 + log₂ 2 +log, c-log, 100 Which of the…

A: Given: logc1+2logc5+logc2+logcc-12logc100

Q: Find the radius of convergence, R, of the series. 00 (x-4)" n+1 n = 0 R = 1 Find the interval, I, of…

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Q: dy 3. dx + y = 2xy²e™

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Q: 17 Simplify cot(arcsec 1) undefined 1 0 -

A: Given problem:- Simplify cot(arcsec(1))   undefined 1 0 -1

Q: Convert the point with polar coordinates 9, 3 The point is: C M 2 3 4 5 6 wend W е t 1 9 C $ % Oll y…

A: Given query is to convert polar to rectangular coordinates.

Q: 3. Find the inverse of the function: ƒ (x) = 4x² − 5

A: The answer is given below:

Q: √9-2³ x² + y² dy dr into a double integral in polar form. TITE f(x, y, z)dV, where f(x, y, z) = x²yz…

A: We can set up the triple integral.

Q: Solve integration by (udv x cos(x) dx

A: The integration of the integral is xcos(nx) limit 0 to pi/2. Repost the next question.

Q: 033 110 A -1 2 3 Assume that AB=A+2B. Find the matrix B.

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Q: Find the following, using no tables for any non-basic integrals. [31evoz d Did you remember your +C?…

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

A: Follow the procedure given below.

Q: 3- show that the diff. equ. is homogeneous and Salve it (2x +34) dx +(y-x)dy = a

A: In this question we have to solve the differential equation.

Q: The graph CC of the equation y = gives the course taken by an oil tanker after leaving port, which…

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Q: Solve right triangle ABC. (Round angle measures to the nearest degree and side lengths to the…

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Q: y = 2 sin 3x 1+3 cos2x

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Q: [10x3, x<-2 5-x, x ≥ −2 Let f(x) 1. f(-2)= 2. lim f(x) = x→-2+ 3. lim f(x): = 2-2 =

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Q: how would I find the domain of the vector function r(t)=cos(t)i+ln(t)j+1/(t-4)k?

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Q: Let S (x,y) = 3e³x² +2e³x+5y + 4e'y?. Find fy A 3e'x4 + 10e³x + 5y + 28e¹y6 12e x³ + 6e³x+5y + 4e¹y7…

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Q: Given: c= 8, a = 5, C = 67° C b A B C Solve the triangle. (Do not round until the final answer.…

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Q: Question 17 :S- Given : 4x - 3 A = √ (21²+8) √u²+2 ® / / / 1 (2011 B (2u²+11)u √u²+2 © ²/2 √ ( 2 u ²…

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Q: 4. y = = csc 1+2x) cot(1-2x)

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Q: Find the area bounded by the curve r = 2 - cos 0.

A: The equation of curve is given as , r=2-cosθ Find the area bounded by the curve.

Q: Evaluate So * sin ada

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Q: The water level inside a cylindrical tank (height 12 ft) is 2 ft below the top of the tank. If the…

A: Explanation of the answer is as follows

Q: L 4s 2 4s² + 1

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Q: Question 14 A 60-m climbing rope is hanging over the side of a tall cliff. How much work is…

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Q: The value of arcsin KIJ 4 O K|6 O KIM R 3 KIN 2 (9) is___

A: SOLUTION-

Q: Convert the polar equation r² = 2 cos (-20) to a Cartesian equation. (x² + y²)² = 2x²-2y² (x² + y²)²…

A: In this question, we want to convert the polar equation in Cartesian equation.

Q: ?T f(t)=√ t` cosnt dt ((나) ans = 4 12 The easiest way to solve the integral so that the result is as…

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Q: (3. 7/7) as Cartesian coordinates. Express the polar coordinates (3,

A: We have to express (3 , π/2) in Cartesian coordinates.

Q: Simplify sec(arctan 1) 1

A: Please refer to the image below

Q: Given: c= 8, a = 5, C = 67° a A B Solve the triangle. (Do not round until the final answer. Round…

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Q: Say whether the following statements is true or false 1 x = ²( ² ( ² + 2) = = = √( ²³ sin2t.dt 1. +4…

A: As per the company's guidelines, we are supposed to solve first three sub-parts for you, kindly…

Q: The region in the first quadrant bounded by the graph of y=8-x32, the x-axis, and the y-axis is…

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Q: The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the y-axis is…

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Q: 1. ²³(x³ + x) dx 3

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Q: 8. Determine whether the series (-1)" is absolutely convergent, conditionally 7n-5 n=1 convergent,…

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