Find the derivative of Ox²2cosx + 2xsin x O 2xcos x O x² sin x + 2xcos x O x2cosx y=x²sinx

Q: -0.5 3. f5 x(1-x)³ dx 0

A: To evaluate the given definite integral by using substitution rule.∫00.5x1-x3 dx

Q: 4. f²₁(x² x)dx 5. (4- x²) dx

A: topic- definite integral

Q: Given the differential equation y²dx + (3xy + y² − 1) dy = 0 What is value of SM ? dy

A: Given the differential equation, y2 dx+3xy+y2-1 dy=0To find the value of δMδy.

Q: TICILNIC B. Find the general solution of the following 2nd order differential equation: y* +2y + 2y…

A: Topic:- differential equations

Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

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Q: Find the transition points. y = 2x6 =18x4 (Use symbolic notation and fractions where needed. Give…

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Q: (2) Solve for all values of x over the interval [0,27]: 2sin(x) = sin(2x)

A: Topic = Trigonometry

Q: 1. f(1-cot 2 x)² dx

A: Solution:

Q: Find the line integral along the given path C. f(x - y)dx, where C: x=t, y = 5t+7, for 0 st≤5 C √(x…

A: Topic:- application of integration

Q: 90 y 2 1980

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Q: FCILICI B. Find the general solution of the following 2nd order differential equation: y +2y + 2y =…

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Q: Question 32 What integration technique can be used to integrate: A Trigonometric Substitution B)…

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Q: Find the transition points. y = 15x³ + 360x² (Use symbolic notation and fractions where needed. Give…

A: Thr solution is given in the next steps.

Q: Suppose that fn ⇒ f on R and that each fn is a bounded function. Prove that f is bounded.

A: Solution

Q: The graph of f is given. y 3 * X -4 2 (b) What are the domain and range of f−1? (Enter your answers…

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Q: iii. lim (1-sin x) tan x x→ I COS cos((x - 1)) iv. lim I-0 r³3r

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Q: c) The equation of a straight line, of gradient m and intercept on the y-axis cis y = mx + c If a…

A: Let's solve.

Q: 7. fsins y cos' y dy

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Q: Derive the following function 1 1. v = x²√x + √²²³√x 2. g(r) = (r²2r)er

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Q: FCILICI. B. Find the general solution of the following 2nd order differential equation: y +2y + 2y =…

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Q: Q1: A. Find the general solution of the following Initial Value Problem (IVP): y +9y-10y = -40t² -…

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Q: x + y + xy = 21

A: The function is given as , x+y+xy=21 find the second derivative.

Q: Use the rules of differentiation to find the derivative of the function. y = sin(0) -11 2.2.025.

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Q: in cacn case. Q2. Find the exponential Fourier series for f(t) Fourier series. (1 0<t<1 = 1 < t < 2…

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Q: If = (-12,4,8) the position vector of u is.............

A: We know that if a=&lt;x,y,z&gt; then its position vector is a=xi+yj+zk.

Q: Find the area of the surface obtained by rotating the line y = 19x + 6 about the x - axis from the…

A: Area of surface is evaluated.

Q: 3. 4. If = (-12, 4, 8) the position vector of u is...........

A:

Q: Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures…

A: topic - inverse trigonometric ratios

Q: 1. Evaluate the given integral Q. Q - L. f.²² (y - 2x^²) dz dx dy Your answer

A: According to Bartleby guidelines, we are supposed to do only one question. If you want more to be…

Q: The graph below is the function f(x) 5+ 4 -5 -4 -3 -2 -1 1 2 3 4 Find lim Find lim Find lim Find…

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Q: Find the length of the arc of a circle of diameter 10meters subtended by a central angle of π/4…

A: Given:  diameter =10meters

Q: A. Determine if p = ï - 3k and q = 61 - 3j - 4k are parallel, orthogonal or neither. 3. Find the…

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Q: 19 A curve with polar equation r = 8 sin 0+17 cos 0 represents a line. This line has a Cartesian…

A:

Q: Question C.) - hit In n 231 n

A: We have to find the series coverges

Q: 10. f3, (x²-1) dx

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Q: An incomplete intermediate simplex table for an LPP is given below: -1 Cj 3 -2 0 0 CB Basis XB X₁ X₂…

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Q: Iff is continuous on [a,b], then rtf(x) dx = π f(x) dx 1 A True B) False

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Q: 4: Find aun -2 2y² Sin(xy) dx dy

A: Topic:- application of integration

Q: dy dt when x = 2. Let xy = 3 and Find dx dt 5.

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Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A: Distance of satellite from station A and height of the satellite above the ground is

Q: Find the integrals of the given in the picture

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Q: Given f(x,y)=x²exy, evaluate f,(3,0). (A) 27 B) 13 C) 9 D) 6

A: The function is given as , fx,y=x2exy evaluate fy3,0=?

Q: dy Use implicit differentiation to determine given the equation x² + y² = 9. d.x dy dx =

A: In implicit differentiation, we differentiate each side of an equation with two variables (usually x…

Q: b iff and g are continuous on [a,b] and f(x) z g(x) for all x E[a,b], then f(x) dxz g

A: SOLUTION-

Q: Prove that the equation 3x² – 3x + 2 = 0 has a solution on interval [0; 1].

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Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

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Q: 5. Find the equation of the tangent lines to the curve y = x² + 3x -4 and parallel to the line 6x…

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Q: When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are…

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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: Q5: Derive the formula for trapezoidal Rule to evaluate f(x) dx a

A: SOLUTION-