At what point on the given curve is the tangent line parallel to the line 3x - y = 4? y = 2 + 2ex 3x (х, у) %3D (

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: Air is being pumped into a spherical balloon at a rate of 5 cm3/min. Determine the rate at at which…

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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: 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: Find the slope indicator of the tangent lines of the given function and evaluate the slo the given…

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Q: The coefficient of Sin(x) in the antiderivative of F(x is 15/32 (use fraction form not decimal no…

A: Given,            The coefficient of sinx in the antiderivative of Fx=cosx26 is 1532.To find : Show…

Q: Match the integral expression on the left to an equal expression on the right. Prompts Submitted…

A: Topic = Integration

Q: (1+ ye* + xye")dx + (xeª +2)dy = 0 C = xye + 2y + x C = xye" + 2y – x O Option 3 Option 2 C = xye –…

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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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A: We have to solve the puzzle

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

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Q: Canada, the total for any store purchase paid in cash is rounded to the nearest 5 cents, where no…

A: Given query is to find the absolute error.

Q: B. Evaluate the limit of a function using the co indeterminate forms. 6x2-7x-3 1. lim 2х-3 X- V2x-…

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Q: Find the derivative of: 6e 1* cos( – 7x). [Hint: use product rule and chain rule!] Use e^x for e".…

A: Given query is to find derivative and equation of the tangent.

Q: 11.What value of x is the function f(x) = Vx2 - 3 continuous? Α. x =0 B. x = 1 C. x = -3 D. х 3D -2

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Q: Find the vector v with the given magnitude and the same direction as Magnitude Direction u = (0, 5,…

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

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

A: We can solve this as follows:

Q: The coefficient of Sin(x) in the antiderivative of F(X)=

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Q: Match the integral expression on the left to its suitable transformation on the right, after using…

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Q: Evaluate: /sin(Vx)dx A 2/x sin(Vx) +2cos(/x)+ C B 2sin(Vx)+2/xcos(x)+ C None of the given Choices O…

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Q: (2x – y)dx + (4x + y – 6)dy = 0 -

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Q: Determine the value of C in on the antiderivative of F(X) = sin (x)cos"(X) for x= 0.16 and y- 1.2.…

A: To determine the value of C in on the antiderivative of Fx=sin3x cos5x for x=0.16 and y=1.2.

Q: Match the integral expression on the left to an equal expression on the right. Prompts Submitted…

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Q: A. Evaluate the limit of a function using the concept of Special Limits. sin2t t3 sint 2. lim

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Q: O Submit Assignment Math 200 Quiz 6 Sections 4.1, and 4.2 DSHUN EDWARDS Question 1 - of 7 Step 2 of…

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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: Please show complete solution in a PAPER

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Q: Evaluate the integral: S (3x-3 + 3)dx Choose the most appropriate answer. ○ 응z + 3z + C O 2x5 + 3x +…

A: ∫xndx=xn+1n+1+C , C is a constant and for any real number n.

Q: xydy - (y – 3x²) dx = 0

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

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Q: Match the integral expression on the left to its suitable transformation on the right, after using…

A: Let's find.

Q: dy dæ3 +7 - 7y = 0 dx O 1st order, 1st degree O 1st order, 3rd degree O 3rd order, 1st degree None…

A: To determine the order and degree of the following differential equation.xd3ydx3+7dydx-7y=0

Q: find dy/dx for each function

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Q: The age T, in years, of a haddock can be thought of as a function of its length L, in centimeters.…

A: Given problem:- The age T, in years, of a haddock can be thought of as a function of its length L,…

Q: 3. For f(x) = rV9-x, find a). domain, b). f', the intervals on which f is increasing or decreasing;…

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Q: 10. What value of k makes the function {2x - (4(x + k) if x > 2 if x <2 f(x) continuous at x = 2? А.…

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Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v,…

A: The Volume of a Parallelepiped Formula  =|(a×b)⋅c|

Q: Sudv= 2x)dx can be evaluated using integration by parts of the form v=uv

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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: Consider the following. u = -6i – 2j – 4k, v = 2j + 2k %3D (a) Find the projection ofu onto v. (b)…

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Q: Stan-1(2x)dx. (1 ( Use 2 decimal digit) Let x = 0.29 and y = 1.69. Determine the value of C when you…

A: Given the integral,        ∫tan-12x dx Note:     Multiple questions are given, we are answer only…

Q: (3a + 3m2) da – 6amdm = 0 %3D |- aC = a² – m? aC = a? – m2 %3D | Option 1 Option 2 C = a + m Option…

A: The differential equation Pda+Qdm=0 is said to be exact if ∂P∂m=∂Q∂a. The solution of the…

Q: In the accompanying figure, arc AB of circle 0 measures 70. If the measure of ZAOB is represented by…

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Q: 8) Find the cross product a x b and verify that it is orthogonal to both a and b. a = (1, 1, -1),…

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Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

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Q: an-(2x)dx (Use 2 decimal digit) Let x = 0.37 and y = 1.03. Determine the value of C when you…

A: We will find c.

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: Use the Ratio Test to find the radius of convergence of 2n= 10 (Use symbolic notation and fractions…

A: Solution of question is written in below steps.