XV In(5x) We substitute u = In(5x

Q: 4. Find and completely simplify the 6th term in the binomial expansion of: (2x - "

A:

Q: Solve the differential equation (y¯+ y)dx - (y¯+ 2xy + x) dy = 0. If y = 1 when x = 3, determine x w...

A: Topic:- differential equations

Q: fre x'e*dx

A: Given: ∫0∞x2e-xdx

Q: 17. Find the volume of the solid generated by revolving about the x-axis the region bounded by the u...

A:

Q: State the name of the property illustrated below. 4. /8 = /8 •4 Choose the correct answer below. Ass...

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Q: (14) dx + xydy

A: Given

Q: S In²sinx -dx , the integrand is In the expression /= tanx Insinx A tanx B -Insin3x+C 3 In?sinx tanx...

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Q: |æ – 7| Let us consider lim x→7 x2 – 49 |æ – 7| (a) Find lim 2→7- 22 – 49 Note: Give the exact answe...

A: Follow the procedure given below.

Q: Find the values of 'a' and 'b' that make the following piecewise function differentiable everywhere....

A: We have to find value of a and b for given Questions.

Q: 2/3 " tan'x sec'x dx X.

A: Solving the problem by doing the definite integral.

Q: Students in a zoology class took a final exam. They took equivalent forms of the exam at monthly int...

A: Given:The average score in percentage is given by:

Q: For the following exercises, use shells to find the volumes of the given solids. Note that the rotat...

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Q: Determine the general solution for the given higher order differential equation. dz (D² + 16)³(D² + ...

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Q: Question 14 Which of the following is an equation of the parabola with the following properties: ver...

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Q: SUDOKU PUZZLE WITH LIMITS Write your answer on the blank Sudoku puzzle. Do not forget to write your ...

A:

Q: For what Values Of X IS tne wing geommetric series convergent? 1++ 27 1) x>0 2) -1<x<1 3) -3<x<3 4) ...

A: Topic:- series   

Q: The contours of f are a sheet faling off to zero not defined parabolas lines

A: Here is the image of the graph in the 3d. Blue is z axis.

Q: Consider the following differential equation. y"-y'-30y 0 Verify that the functions .-5x and 6x form...

A:

Q: Suppose the sales tax rate of Pagadian City is 7% of the purchase price. If the price of the digital...

A: Topic:- parsentage   

Q: 2. Complete the following tables of values f(x) -1 -0.8 -0.35 -0.1 -0.09 -0.0003 -0.000001

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Q: Question 21 Give the coordinates of the vertex with focus at (1,2) and a directrix at y=8. Blank 1 B...

A: Given , The directrix is at y = 8 , focus at (1,2).  

Q: Write the exponential equation in logarithmic form. For example, the logarithmic form of 2 8 is log,...

A:

Q: Which of the following answer choices give the equation of an asymptote for the graph of f(x) = tan ...

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Q: Question Evaluate the following limit using L'Hospital's rule. 1 lim 4x cos 6x4 Provide an exact ans...

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Q: What is the center of the circle with the equation: x² – 10x + y²=- 9? Blank 1 Blank 1 Add your answ...

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Q: (Hint, the parentheses, are where you are renaming in terms of sin or cos, or when you are getting a...

A: Topic = Trigonometry

Q: he general antiderivative of a function is also called the. A integrand B arbitrary constant differe...

A: The general antiderivative of the function

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. Ma...

A: Use component form for the vector and use the given value 

Q: (In(x))? 3

A: We have to apply rules of integration to solve the problem

Q: On the graph of f(x) = sec x and the interval [0, 27), for what value of x does f(x) = –1? Choose al...

A: We have to find out 

Q: Solve the following second-order differential equation: y" + 4y/ + 5y = 8x sin x

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Q: Bottled Water Sales The following chart shows annual per capita sales of bottled water in the United...

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Q: 2. Complete the following table. lim 2016 lim r -2 -1/2 3.1416 10 V3

A: Given table:- c limx→c2016 limx→cx -2     -12     0     3.1416     10     3       ...

Q: Circles and parabola are functions A. True B. False

A:

Q: 2e*dx where e = 2.7183 %3D

A: Given: I=∫012exdx   As we know from the integral; ∫a·fxdx=a·∫fxdx, where 'a' is the constant. And ∫e...

Q: Find the slope of the line tangent to the curve x + sin(y+π) = 2x3 + ey at the point (-1,0). Show wo...

A: Topic:- application of derivatives

Q: if 2 and gcx) -X and h =1-2X %3D Find, fog fog, gof, gog, gofoh, fof > fof .

A:

Q: 1. Graph y = -cos Ex) and y = -(x – 4)² + 1 accurately on the graph provided below. Provide the nece...

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Q: 1 The function is equivalent to the series: 1-2t Select the correct response: 3 5 -1 -t--t2 2 t3 + ....

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Q: 8x sin x y" + 4y/ + 5y = 8x sin x 1. ollowing econd ifferential equation:

A: The given differential equation is:y''+4y'+5y=8xsinx

Q: 11. Scientists can determine the age of ancient objects by the method of radiocarbon dating. The bom...

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Q: Find the limit: limt t→0⟨(e^5t)−1/t,t^11/(t^12−t^11),−7/8+t⟩ ⟨  ,  ,  ⟩

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Q: nd [(dy)/(dx)] if the curve is defined by 7 x? e7y + 6 y² e² x

A: We are asked to find the derivative 

Q: Consider the function f(x) = -6x2 + 4x – 6. (a) Find all critical numbers c of f. c= (b) The local m...

A: topic - application of derivatives

Q: f (x, y) = 4xy² + 5a°y fzy (1, 1) = hx

A: Given: - The function is, f(x,y)=4xy2+5x3y To find: - The value of fxy(1,1)=

Q: Evaluate the following functions using the given relations. f(1)= 4 ; f(2) =-1 ; f(3) =-3 Relation: ...

A: Since you have posted multiple question as per guidelines we can solve only one question at a time s...

Q: Use the information to answer the question. A student was given x - 1 when x <2 f(x) = 3x when x22 T...

A: Given that: f(x)=x2-1 when x&lt;23x       when x≥2

Q: Approximate 4   2 1 ln(x) dx using the midpoint rule with four subdivisions to four decimal places

A: Given: a = 2  b = 4   n = 4  f(x) = 1/ln(x) 

Q: Write out (but do not compute) 5 other iterated integrals that are cquivalent IT [ f(r,y, 2)dz dz dy...

A: Given:     Limit: ( 0-4 , 0 - y2 , 0 - y )  f(x,y,z) dx dz dy  

Q: Find a parametrization of the ellipse centered at the origin in the xy-plane that has major diameter...

A: