Determine the value of C in on the antiderivative of F(X) = sin (x)cos"(X) for x= 0.16 and y- 1.2. Note: Use 3 decimal places and angle in radian form.

Q: Find the average value of f(x) = over the interval [2, 4]. (3x + 1)2

A: Given problem:- Find the average value of f(x) = x/((3x2 + 1)2 ) over the interval [2, 4].

Q: 4 s cot?x csc'x dx CSC X

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Q: show

A: We will find the value of c.

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Q: Determine the value of C in on the antiderivative of F(x) = sin°(x)cos³(x) for x = 0.669 and y =…

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Q: nd the implicit differentiation by using Total Derivatives a unction, x³ cos(2y) – 3x4 + 2e3y

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Q: 6. sin(x) in the antiderivative of COS %3D The coefficient of is Blank 1 (use fraction form not…

A: Antiderivative

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Q: af If f(x, y) 3x+7y (3x-7y) then is given by: 42y (3x–7y)² 21y (3x–7y)² 42y (3x-7y)2 21y (3x-7y)² -

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Q: Give all solutions of the nonlinear system of equations, including those with nonreal complex…

A: y= x2 +4x  ....(1)2x-y=-8 ......(2)2x -[x2+4x] =-82x -x2 -4x…

Q: In Problems 63–64, explain what is wrong with the statement. 63. So So f(x, y) dy dæ = S, Sº f(x, y)…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 2. Differentiate a sine and cosine function that involves product and chain rule. Find the equation…

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Q: Find the length of the following parametric curve. x = 6 + 916, y = 5 + 6t°, 0<t < 2.

A: solution is given below

Q: Convert the following number in the radix (base) given to their equivalent value in the radix…

A: (36.125)10 = (100100.001)2   a. (36)10 = (100100)2

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Q: II. Find the first derivative of the given function. tan 2x 6. у %3 1-cot 2x

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Q: Ex Find div F when F=3xyi+ 2xy3at (リ-1)

A: To find divergence of the given vector field at (1,-1)

Q: The coefficient of sin(x) in the antiderivative of Flx)=(cos() is 15/32 (use fraction form not…

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Q: xsin-1(x) is 1– x² If x =0.58 and y = 0.31, then value of C in the antiderivative of F(x) = %3D %3D…

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Q: S(-uP +2u7 + uP)du No appropriate Match Question 6 S(-u° -2u7 - P)du Match the integral expression…

A: Solving the problem by finding the proper substitution.

Q: x3-1 D. Is the function k(x) = {x²-1* * 1 continuous at x = 1? 2,x = 1

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Q: Graphs of f(x) (solid) and g(x) (dashed) are given below. Use them to find the following ves. Show…

A: The given graph of functions is as follows:

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Q: Find the general solution of'the following differential equation. + 13y+ 42y 0 NOTE: Use C, and cg…

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Q: Find the general solution of the differential equation y" +2y + 5y = 5 sin(2t). NOTE: Use c, and cg…

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Q: • Sl-+2u* + uP)du No appropriate Match Question 6 o S(-uP-2u7 - P)au Match the integral expression…

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Q: 10. y = -3 cot 2x, 2nd derivative

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Q: 10) Find the cross product a x b and verify that it is orthogonal to both a and b. a =  j + 7k,…

A: Let's find.

Q: Directions: Determine whether the given functions is continuous, differentiable, neither, or both at…

A: d) The graph is continuous.Since there is a sharp point at x=0.So, it is not differentiable.It is…

Q: Using the theorem on determinants, show that a² |1 A = а b b2 (b – a)(c – a)(c – b) 1 c2

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Q: (3-х, х <2 +1, x 2 2 B. Is the function h(x) continuous at x-2?

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

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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: Find the average rate of change of f(x) = x² – 1 on the interval[-1,0.4]. Give your answer in…

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Q: Astivity 3 tind the deve of 2x-3 uwing 3x -2 the definition -

A: Given,f(x)=2x-33x-2We know that,f'(x)=limh→ 0f(x+h)-f(x)hTherefore,f'(x)=limh→…

Q: (v®) do 1 sec J2

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Q: = 2xy – x y = e"C+ | In(2y + 1) = -a² + C Option 3 Option 4 In(2y – 1) = -x² + C None of the choices…

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Q: Find the centroid of the region bounded by the given curves: y = 1 + 2x2 ; y = 3 ; x = 0

A: To find the centroid of the region bounded by curves: y=1+2x2,y=3,x=0 The bounded region is:

Q: The world population was 6.9 billion at the end of 2010 and is predicted to reach 9 billion by the…

A: a) Given:      The world initial population P0=6.9 billion        Predicted population          P=9…

Q: dy y(ln y – In x + 1) dx 1 C = -In None of the choices O Option 1 C = -ln C = -In Ontion ? Ontion 4…

A: We have to choose correct option.

Q: Given the piece-wise function x² – 2x + 5, 3x2 – 2x – 5 f(x) = 0 2 Determine whether f is…

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Q: dy y(ln y- In a+1) dx 1 C = -In 1 C = In O Option 2 Option 1 1 C =-In None of the choices O Option 4

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