Flnd * |(sin 5x cos 3x + cos 5x sin 3x) dx cos 8x cos 3x + 3 cos5x – + c 8 + c Option 3 Option 2 cos 8x + c 8. cos 3x сos 5х 3 Option 1 Option 4

Q: Solve the attached integral problem

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Q: Evaluateſ (3x + 2)dx A. 3x2 + 2x +C B. 2x² + 2x + C c 를2 + + 2x + C D. + 2x + C

A: The objective of the question is evaluate the indefinite integral and choose the correct option.

Q: Determine whether the lines are parallel or identical. x - 3 y + 8 z + 7 5 y – 1 _ z + 22 4 -3 x + 9…

A: The given two lines are                 x-34=y+8-3=z+75 and        x+9-8=y-16=z+22-10 We first find…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the point (5,…

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Q: n equation of the plane with the given characteristics. y – 4 The plane passes through the point…

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Q: Find the angle 0 between the vectors in radians and in degrees. - co) + sin() = cos 4 u = cos i +…

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Q: 7 If D is the region enclosed by y =-, x = 7, and y = 7x. Then %3D ly dA = 1386. D Select one: O…

A: Solution is given below

Q: Verify that the two planes are parallel. -x + 6y + 22 = B -글x+ 3y + z =9 Find the normal vector, n,…

A: I have appended the formula used in the solution part.

Q: 1. Consider the function f(x) = x - 4 on the interval [-2,2]. Calculate the Riemann sum using: a.…

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Q: 8. Find the volume of the solid generated by revolving the region bounded by the curve y = 4 – x²…

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Q: С. lim х-2 х+1

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Q: Find the vector component of v = 2i - j+ 3k along b = 2i + 4j + 4k and the vector component of v…

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Q: Find if dy y2+4 + In(x + 2) = xy3 dx 2vx+4 2yvx + 4 - 3xy² x + 2 Vx + 4 -3xy? 23Vx +4 1 x+2 2x+4…

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Q: Find the solution. dy 2y + dx -=x²y²sinx 1 (A) y = х? (sinx - c) B y = x ( sinx +c) y = x²(cosx+c)…

A: We have to find solution of given D. E.

Q: (2) A stone is thrown vertically upward from the ground with an initial velocity of 40 ft/sec. (2.1)…

A: Topic:-  basic maths  Note :- as per our guideline if more than three subparts need to be answered…

Q: dy = x and find the particular solution when y(0) = dx Solve y? %3D

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Q: Suppose f(r) is a function whose Derivative f'(x) is graphed below on the domain [0, 9). y = f'(x) 1…

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Q: What is the radius of convergence the power series solution to: for Cx?+Qx+17)y"+y?-y=0,centered at…

A: The given differential equation: x2+2x+17y''+y'-y=0 can be re-written as…

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction I|v|| =…

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Q: Consider the mass-spring system for mass 0.5 kg, spring constant 4.8 N/m, and an oscillating force…

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Q: A rectangle sheet of cardboard measures 16 cm by 6 cm . equal squares are cut out of each corner and…

A: We need to find maximum volume.

Q: Determine the interval(s) on which the function is continuous: 2r+ 7 212-3x-9 if x 1/2 Ox1/2 Ox1/2…

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Q: Find two unit vectors in 2-space that make an angle of 45° with 9i + 4j. NOTE: Enter the exact…

A: Solution: Let u = ai+bj makes an angle of 45 degree with v = 9i +4j

Q: Use the Laplace transform to solve the given integral equation. f(t) + (t – t)f(t)dr = t 1 f(t) = s“…

A: Hi! The answer to the solution was f(t)=sint. You have entered the answer incorrectly.

Q: Integration of (Sin(x) + Cos(x))e^x is_

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Q: Let a = ci + jand b = 3i + 4j. Find c so that the angle between a and bis Round your answers to four…

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Q: Determine whether the lines L, and L2 are parallel. L1: x = 1– 4t, y = 2 + t, z = 4 – t L2: x = 4 –…

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Q: Find an equation of the plane that passes through the point P(-8, –4, 7) and has the vector n = (-2,…

A: Given problem:- Find an equation of the plane that passes through the point P(-8, -4,7) and has the…

Q: Use the Midpoint approximation method to approximate the area under the graph of the function f(x) =…

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Q: The indicated function y, (x) is a solution of the given differential equation. Use reduction of…

A: This is a problem related to differential equation by reduction of order concept. Please find the…

Q: Given .5 8 | f(=)dz = /f(2)dz + f(2)da – | f(a)da, -6 6 what are the limits of integration a and b?…

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Q: M3.3 Trigonometric Substitution s dy 9-y 5.

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Q: The sum of the dimensions of a box with a sqaure base is 48 m. Find the maximum volume of the box.

A: Volume

Q: Find dx (9x² + 16 1 1 - In |3x + V16 + 9x²| + c -In |3x – V16 + 9x²| + c Option 2 Option 3 1 1 In…

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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Q: y" 2y'+ 17y-0; e cos(4x), e sin(4x), (-m, on). Venify that the given functions form a fundamental…

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Q: Consider the following higher-order differential equation. d³u d?u + - 2u = 0 dt3 dt2 Find all the…

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Q: Calculate the area of the circle r=18sinθ as an integral in polar coordinates. I have this…

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Q: Find the volume of the solid of revolution if a quarter of an ellipse in the first quadrant with…

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Q: Express the limit as a definite integral on the given interval. lim > x; In(2 + x;2) Ax, [2, 5] n-…

A: The solution is given below

Q: u = 5i + 4j, v= 3i + 2j (a) Find the projection of u onto v. (b) Find the vector component of u…

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Q: 4. CHOOSE one of the following functions (CIRCLE YOUR CHOICE): y = 2 log(x + 3) – 5 Asymptote(s)…

A: As per our guidelines, we can answer only three sub-parts in a single request. Kindly re-post the…

Q: Explain why S is not a basis for M, O sis inearly dependent. O s does not span M.2 O sis linearly…

A: We can solve this as follows:

Q: X1 – 4x, + X3 = 2 4x1 + X2 =1 Xz + 4x3 =-1

A: Since the question is asked to solve by two different method solution by one of the method is given…

Q: An object hangs from a spring balance. The balance registers 36 N in air, 25 N when this object is…

A: given

Q: Determine if the following statement is true or false. The lines Lj and L2 are skew. L1 :x = 1 + 7t,…

A: If line L1​ and L 2 are not parallel and not intersecting, then this lines must be skew.

Q: Find the arc length in the second quadrant of the curve x23 +y2/3 = 25 from x = - 125 to x = – 8.…

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