2. What is the average rate of change of y with respect to x over the interval [-3, 4] for the function y = 2x + 2

Q: the followiI 4x-x2 1) lim-4 2-Vx

A: As per our guideline we are supposed to answer only one question you can repost other questions in n...

Q: Find the slope of the function's graph at the given point. 8 Function: g(x) Point of g is at (10, 0....

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Q: Find, if possible, AB and BA. If it is not possible, explain why. -3 4 -30 61 A = B = 0 1 1056

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Q: 2x sec(5x) tan(5x) dx can be evaluated using integration by part The integral expression udv =uv the...

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Q: Which of the following uses integration by parts? (3) fxlnxcx In x dx ... (1) fxcosx'dx (2) fre*dx A...

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Q: Find the value of 6dx x2 + 1 1 Determine whether 6 n² + 1 n=1 is a convergent series. Enter C if ser...

A: Given query is to find the value of the integral.

Q: The integral expression 2x sec(5x) tan (5x) dx can be evaluated using integration by parts of the fo...

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Q: Let P be the point (4,5,5) and Q be the point (2,5,3). What is the distance between P and Q? You may...

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Q: Perform the calculation. 45° 17'- 29°48' 45° 17' - 29°48'= (Simplify your answers. Type an integer o...

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Q: Determine the value(s) of x for which the following function is discontinuous. Identify the type of ...

A: The given function,         fx=2x2+3x-2x+2 Removable discontinuous:    If a function f(x) has remova...

Q: Find the slope of the tangent line to the curve 2x2 + 4xy- 2y = 142 - at the point (– 1, – 4).

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Q: cost C (in dollars) of manufacturing ¤ number of high-quality computer laser printers is C(x) = 9x*/...

A: Given query is to find the rate of change of cost.

Q: The partial fraction decomposition of 4x 12 can be written in the form of 8x2 + 30x + 7 g(x) f(æ) + ...

A: We have to find the value of f(x) and g(x) 

Q: Which of the following uses integration by parts? (1) fxcosx'dx (3) fxlnx Inx d (2) fxe"dx (4) A (2)...

A: We have to find out

Q: 2. Given f(x) = 3x – 2 and g(x) =+, find each of the following: (a) (f o g) (z) (b) (go f) (x)

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Q: Compute the unit binormal vector B for the following parameterized curve: F(t) 4 2 3t, 1

A: Given:    r(t) = ⟨ t2/2 , 4-3t , 1 ⟩

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

A: The height of the ball f(t)=-16t2+326t+22

Q: 9+2u7 Match the integral expression on the left to its suitable transformation on the right, after u...

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Q: 8. Evaluate the following integral |cos (x)dx

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Q: Find the infinite sum (if it exists): 00 i=0 If the sum does not exists, type DNE in the answer blan...

A: We need to find the infinite sum.Below find the detailed solution in the image.

Q: Sally can paint a room in 7 hours while it takes Steve 4 hours to paint the same room. How long woul...

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Q: Part A) What is im f(xh x-0 Part B) What is f(o) Part C) What is im f(x)> x-2 Pan D) What is im flxh...

A: a) limx→0f(x)=-1 b) f(0)=-1

Q: Differentiate the following function. 1 v = t8 - %3D v' =

A: We have to find derivative

Q: -1 [cos'x { v(1-x)}]'dx log.{1*(= 1+( sin (2xv(1-x²)) TT

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Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. cos?x sin x dy + (y cos³x – 1) dx = 0

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Q: 3. f(x)=2cos(x-90°)+1 Amplitude: f(x) Period: Vertical Shift: Phase Shift Start: End: Increments:

A: Topic:-  function

Q: S2x+1, x54 x² +12, x>4 3. Is the function f(x) = continuous?

A: topic - continuity of a function

Q: c.rechudu = 2 tan -I eu tc C. %3D

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Q: The monthly revenue R (in dollars) of a telephone polling service is related to the number r of comp...

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Q: Solve the differential equation with appropriate method. Simplify final answer the simplest possible...

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Q: (1) Plot the graph of y = r³ – 3r - 5 = 0, and find where the curve crosses the T-axis and the y-axi...

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Q: 2. It is easier to find the power or the root of a complex number if the numnber is written in form.

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Q: x-1 ifx1

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Q: PROPORTIONAL VS. NON-PROPORTIONAL TABLES DIRECTIONS - Place the following tables In the most appropr...

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Q: Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for ...

A: Topic:- integration by parts

Q: d b) [ 4e*(In x) ] dx

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Q: 4. The figure below shows the graph of a rational function f. Assume that the graph has no holes. Fi...

A: NOTE: Refresh your page if you can't see any equations. . as we can see, the y-intercept is and x-i...

Q: Find the general solution: 0(Ine – 4) cscßdß+ cospd0=0 -

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Q: 3 Select the function that is even. f(x) = 3sin(x) f(x) = 3tan(x) f(x) = 3cot(x) f(x) = 3cos(x)

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Q: 1. (8x³ + 3x²) dx

A: Topic = Integration

Q: Use the difference a+1 – an to show that the given sequence {an} is strictly increasing or strictly ...

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Q: %ャ3y t42 =27 43,3,11> る。1 47 6,6,67

A: Given query is to find the normal vector of the plane.

Q: Let P(x) = F(x)G(x) and Q(x) = F(x)/G(x), where F and G are the functions whose graphs are shown. F ...

A: topic - functions and derivatives

Q: 1. Solve for the Range and Domain of the given function: g(t) = v4 – 7t 2. Given f(x) = 3x – 2 and g...

A: (1). The given function is: g(t)=4-7t

Q: Provide a diagram where limx→a f(x) exists, f(a) is not defined and f(x) is not continuous at a. Wha...

A: A function f(x) has properties,limx→af(x) exits, f(a) is not definedfx is not continuous at x=a cont...

Q: X-1 2. Where is f(x)= discontinuous? x² – 5x+4

A: The given function is: f(x)=x-1x2-5x+4

Q: The total cost (in dollars) of producing x coffee machines is C(x) = 2200 + 30x – 0.1x?. the exact c...

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Q: 6. Evaluate the following integral: [sin 8x cos 5x dx

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Q: 4 and y(4) 10, find y'(4) by implicit differentiation. If 2x + 3x + ry

A: We can perform the implicit differentiation to find the answer as below.

Q: Obtain the derivative of the following functions: (2r²-1)* y = (5-3x)*

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