Determine the average rate of change for the function f(x)=x+3x+4 on the interval 2≤x≤4.

Q: 3) f₁ dx do - cos 0

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Q: Find (a) the slope of the curve at the given point P. and (b) an equation of the tangent line at P.…

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Q: EXAMPLE 1 Determine whether the series 3 7n² SOLUTION For large n the dominant term in the…

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Q: Consider the function f(x)=x²- 5x. Compute the derivative using the definition f(x+h)-f(x) h by…

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Q: Differentiation from first principles F(x)=x^4+1

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Q: 26. If [x] is the greatest integer in x, then what is lim [x+1]? 7111

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Q: 3. Use the graph off to find the followings. a) b) c) 5 4 3 2 1 f(1) f(-2) 32 --14 -2 -3 234 5.X…

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Q: etermine whether the following relation represents y as a function of -4 -3 -2 -1 y 1 -1 -2 2 3 1 2…

A: Topic:- function      Definition :- The domain is the set of all the input values of a function and…

Q: Find y dx Please, expert, I do not have much money. Solve please 4.y=log10 (x4 + 3x² + 1) 5.y = log5…

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Q: II. Evaluate the following integrals: 7 ax 52X+7 13. [ sin x 2 - cosX (1x dx 14. S MA sec² 3x -dx 1…

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Q: Evaluate 14 26 -7 2³ +8 z² dz. Round your answer to two decimal places. £¹₁4 z6 − 7 x³ +8 r² dz=…

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Q: If f(x) = 2x². -x-2 and g(x) = x + 2, then fog and go f may be expressed as f(g(x)) = ax + 3x +y and…

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Q: Which of the follow is the direction vector of the line 7=(2, 1, 3) + t(-7, 1, 6) (7, 1, 6) O(-7, 1,…

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Q: Match the equations of the spheres with one of the graphs below. -2 -3 2 X A D 1 y 1. x² − 2x + y² +…

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Q: g(x) = 10) Find the extrema for in [-5,-0.5] x² + 4x+4 X

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Q: Determine the values of a, if any, for which all solutions of the differential equation y" — (2a −…

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Q: If r(t) = cos(2t)i + sin(2t)j - 4tk, compute the tangential and normal components of the…

A: We have to find tangential component and normal component

Q: Use the law of sines to solve the triangle, if possible. B=44°, C = 27°, b=30

A: Recall: Sum of angles of triangle is 180 degrees.

Q: solve xy' - y = xkyn, 1) y¹ – O a. (k+n O b. (k+n O c. (k+n O d. (k+n - - n 1) x¹ - n - 1) x¹ − n 1)…

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Q: An unknown radioactive element decays into non- radioactive substances. In 240 days the…

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Q: valuate the following definite integral. 0 1 30 x² - - 25 Find the partial fraction decomposition of…

A: Solving the problem by finding the value of the definite integration.

Q: Find dy/dx by implicit differentiation. xy + 2x + 2x2 = 3

A: Given, xy + 2x + 2x2 = 3

Q: Determine the interval in which the function is decreasing for y=2x^3-9x^2-24x-10 without graphin.…

A: You can  use the first derivative to find intervals of increase and decrease and accordingly write…

Q: Given the following function, find the values of f (5,2) x = 5 + xln(xy-9) f(x,y) O A. 25 OB. 10 OC.…

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Q: 2. Provide the exact value solution(s) for 2x² + 13x + 3 = 0

A: The given equation 2x2+13x+3=0 use the quadratic formula:   The quadratic equation is of the form…

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Q: find the complex Fourier expansion of the periodic function shown below COS X Cn = -1<x< 2 TL .na…

A: I have stated the used formulas in the solution.

Q: -4 -3 -2 -1 у 1 -1 -2 1 2 3 X

A: We can find the answer in the following steps.

Q: QUESTION 3 Mr. Anderson has chosen to build the rectangular garden with a length of 40m and a…

A: Note: Since the student has made a typing error for the values 45,40 and 35,52. We have considered…

Q: 10.S 2 x3 x+1 dx

A: Since the student has posted multiple questions and does not mention any specific question, so we…

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A: (a) Given that, the function is y=x and the point is 4,2. Differentiate the function y=x with…

Q: Write z₁ and 2₂ in polar form. Z₁ = Z2 = Find the product 2₁22 and the quotients and (Express your…

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Q: Which one of these is a vector equation for a line in 2-space? y = 3x + 7 =(-2, 1,0) + s(-4, 2, 1) +…

A: Given ○y=3x+7○r→=-2, 1, 0+s-4, 2, 1+t1, -1, 2 s,t∈R○3x+4y+7=0○r→=2, 1+t-1, 3 t∈R

Q: Determine the amplitude, period, and phase shift of the function. Graph the function. y=sin(x-*)

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Q: II. Evaluate the following integrals: 1 2. fg x + 3 dx 8x+3 1. dx f X 4. - X +1 1 ₂2x+7 7. ƒ (2+ In…

A: as per company guidelines we solve only first three subparts when multiple parts question being…

Q: Calculus is a powerful tool used in economics. One of the initial applications areas is the study of…

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Q: 5) Evaluate the ff (3x - 2y)DA. R is the region enclosed by the circle x² + y² = 1.

A: “Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: 9. (a) f(2) (b) f(1) 10. (a) f(-4) (1) f(-1) (c) (2) [y = f(x)] میر -2+ (b) f(0) (0) (4) v=fn

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Q: The direction vector of the equation below is : c=−2+3t y = 3+2t O [3, -2] O [3, 2] O [2, 3] O 1-2,…

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Q: Determine the type of function shown in the graph below. a) Polynomial function Ob) Rational…

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Q: 5) Evaluate x² +1 4x³ + 12x dx

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Q: Find missing number in the series  3,12,26,45,8,22,41,65,13,32,__,85,18

A: Given data:- The given series is, 3,12,26,45,8,22,41,65,13,32,__,85,18

Q: If f(x) = 1 and g(x)=x² +2, then go f may be expressed as x-2 g(f(x)) = axa +2ßx+y xa + Bx-ß Find a…

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Q: 4) Differentiate each of the following: a) y = - cos²x c) f(0) = sin(20 — π) e) y = (52)²x g) y =…

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Q: 1 ) / ( ₁ + ²x^²) = ( -da f (₁ () [ dr. - 2³-1 2+1 (d) 2² + 7x+12² (a) +at da. dr.

A: Evaluate the integrals

Q: QUESTION 10 Use cylindrical coordinates to evaluate the integral below. √x² + y²dv, where E is the…

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Q: Find the area of the region bounded by the graphs of the equations. y = 7x² + 3, x=0, x=2, y = 0

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Q: A dollar store finds the daily demand for any of their products is given by D(x) = 120 + 15x - x².…

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