12 22, 23 , 2* 5*6*7 *8 * 3. Test the series

Q: Let F(x) = f(x) + g(x)e* + h(x)e²× + C be the antiderivative of G(x) = (x + e*)² value of f(x) +…

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Q: The integral expression J xcos-(2x)dx can be evaluated using integration by parts of the form Judv=…

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Q: A stone is tossed vertically in the air from ground level with an initial velocity of 35 m/s. It's…

A: Given query is to find the average velocity in the given intererval.

Q: Evaluate the given integral using Algebraic Substitution.

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Q: u = -6i – 2j – 4k, v = 2j + 2k (a) Find the projection of u onto v. (b) Find the vector component of…

A: We have to find projection

Q: Determine the value of the arbitrary constant of the antriderivative of F(x) = x<In(x) given the…

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Q: 5. When company prices its seminar at $400 per person then 1,000 will attend the seminar. For each…

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Q: - F(x) = f(x) + g(x)e* + h(x)e2x + C be the antiderivative of G(x) = (= termine the value of f(x)+…

A: We will find the value of the function.

Q: Evaluate: Jx?cos(2x)dx

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Q: Given the following vectors a =(-1,-2),5 =(-3,-4),c = 2,-1), d = (-4,3) Use the dot product and…

A: We have to use dot product and scalar multiplication to find the relation between vector b and d.

Q: Evaluate: Jx?cos(2x)dx A None of the above 2x2sin(2x) – 2xcos(2x) + sin(2x) B + C 2x²sin(2x) +…

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Q: Suppose that f(2) = -5, g(2) = 3, f '(2) = -2, and g'(2) = 4. Find h'(2). (a) h(x) = 4f(x) – 3g(x)…

A: As per our guidelines we are solve only first question you can repost other questions in next…

Q: Select the correct graph of y = sinx, y = 0.2, and y = – 0.2. 03 Figure 1 Figure 2

A: We have to use properties of functions to solve the

Q: If two forces of 5 lb. and 8 lb. acting at the same point are equivalent to a single force of 10 lb.…

A: from the resultant 102 = 52 + 82 + 2(8)(5)cosx 100 -25 -64 = 80cosx cosx = 11/80 cosx = 0.1375 x =…

Q: tan (2x)dx, (Use 2 decimal Let x 0.49 and y = 1.9. Determine the value of C when you evaluate digit)

A: This question can be solved using the concept of ILATE.

Q: locate the centroid of the plane area bounded by y=x^2 and y=x

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Q: ९ -ज 2/37Find A if A by using invers ومكمواط अ 3. ww.

A: A=23-41233-1-1A=2 23-1-1 -3133-1 -4123-1     =2(-2+3)-3(-1-9)-4(-1-6)     =2+30+28A=60 ≠0A-1 =1A adj…

Q: Q5. Check whether the following statement is true or false. d²y + y? = 0 is non- linear equation.…

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Q: . Evaluate the limit of a function using the concept of Special Limits. et-1 t2-3t+5 + t2-1 1. lim t

A: Given that a limit problem and we solve this problem by using general property of limit.     Here i…

Q: Find the angle 0 between the vectors in radians and in degrees. i + sin 3. in)j, v = cos()i + sin()…

A: Given problem:-

Q: Consider the following. u = -6i – 2j – 4k, v = 2j + 2k (a) Find the projection of u onto v. (b) Find…

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Q: Find the supply equation using the given information. (Let x be the number of items.) At a price of…

A: We have to find the supply equation using the given information.

Q: Evaluate: Ssin(/x)dx A 2x sin(/x)-2cos(Vx)+C B 2/x sin(x)+2cos(x)+C 2sin(x)+2/xcos(/x)+ C D…

A: Using substitution and integration by parts,

Q: Differentiate the function In x f(x) = In 2x+3'

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Q: If x =0.71 and y = 0.67, then value of C in the xsin-(x) V1-x² antiderivative of F(x) = is

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Q: Find a set of parametric equations for the line passing through the point (8, 0, 9) that is parallel…

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Q: B5: a) (10] Given the complex numbers z = 1- 21, zz = -1+ 31, 23 = 2+ i, z4 = -2 – 31. ) Plot all…

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Q: sets or parametric equations and symmetric equations of the line that passes through the given point…

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Q: Let y 3T. Find the change in y, Ay when x 2 and Ax 0.3 Find the differential dy when a 2 and da 0.3

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Q: Astivity 3 tird the dentve of 2メー3 うメー2 ensing the definitiom

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Q: jod2:" +x -a)dr = 24. 3. If find the value of a constant.

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Q: Let y tan(5x + 8). Find the differential dy when I = 5 and dr 0.1 Find the differential dy when I 5…

A: y=tan(5x+8)Differentiate on both sidesdy=sec2(5x+8)×5×dxSubstitute x=5  , dx=0.1…

Q: If x =0.51 and y = 0.1, then value of C in the antiderivative of F(x) = xsin-(x) is V1- x2 Add your…

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Q: Find the angle 0 between the vectors in radians and in degrees. 0()i+ sin(); 3TT i + sin i, v = coS…

A: To find out the angle between vectors.

Q: Q8. The general solution of the differential equation dy x-1 %3D -2 is dx y+2' Y #

A: Given query is to find the solution of the differential equation.

Q: dx x Vx² +3 2

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Q: Determine the value of the arbitrary constant of the antriderivative of F(X) = x-In(x) given the…

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Q: Find the general solution of (x-4y)dx + (x+2y dy) = 0

A: Given

Q: farmer has 150 m of fencing available to enclose a rectangular area along ne enclosed area will also…

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Q: A cylindrical can is to be made to hold 1 L of oil. Find the dimensions (in cms) that will minimize…

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Q: y(x) = x³ (2x – x²)

A: Given: yx=x232x-x2   As we know that; The Power law; ddxxn=nxn-1 The Product rule: f·g'=f'·g+f·g'

Q: n Sn = En-0 8 (-) 4.

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Q: y = 4 + cze3x

A: We can eliminate the arbitrary constants in the following steps.

Q: Produce graphs of f that reveal all the important aspects of the curve. Then use calculus to find…

A: The given function fx=3 sinx+cotx, when -π≤x≤π.

Q: Determine the value of the arbitrary constant of the antriderivative of F(x) = x-In(x) given the…

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Q: The area of a sector of the circle with an arc measure of 45° and with a radius of 4 is A 16л 45° 4…

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Q: 1. y = 5sin 3x*

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Q: If x-0.78 and y 0.83, then value of Cin the antiderivative of F(X)= xsin-(x) is V1- x2

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Q: Find the equation of the tangent line to the curve y = 6 sec z – 12 cos z at the point 6). The…

A: y'=secx-12cosx' =secxtanx+12sinx Slope = secπ3tanπ3+12sinπ3=83. So, we have possible equation of…

Q: 1. f(x)= 5x+3 2. f(x)=-4x+2

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