2. Consider the infinite series 12 12 12 12 12

Q: y = Ce* + C2xe*

A: Since we are given with the multiple number of question and our guideline is solve first question on...

Q: 3. If g(x) = x4 – 2, find g'(1) and use it to find an equation of the tangent line to the curve at t...

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Q: -1 Compute the area of the region enclosed by the lines y = r and y = z and the curve r = 10 – 2y?. ...

A: This question is related to application of integration.

Q: x+3 4. S dx (x²+6x)²

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Q: [ san28 e tan 20 ,tan 28 sec 2 Bd

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Q: For the following exercises, find the exact area of the region bounded by the given equations if pos...

A: Area between curves x2=y3 and x=3y

Q: Find all values of m for which y = emx is a solution to the equation y" + y'- 2y 0.

A: Calculate y' and y" , then put value of y,y' and y" in given equation and solve it. 

Q: The initial and terminal points of a vector are given. Write the vector as a linear combination of t...

A: Initial point A=(3,6)Terminal point (-2,-8)let a and b are position vector of point A and B, Then a=...

Q: (D² + 3D + 2)y = 12x²

A:

Q: Use the definition of the derivative to find the derivative of, f(x)=6

A: topic - derivatives

Q: de dx = x(6x - 0) + (3x² –9).1 = 6x² + 3x² -9 = 9x -9 (x² -1) | II

A: We know that derivatives of xn is : d(xn)/dx = nxn-1. And product rule of derivatives is  d(U.V) = U...

Q: Let k be any integer. What expression generates all angles.coterminal with 135°? O 135° – 2Tk 135° 2...

A: We can find the conterminal angles as below

Q: Identify the level curve of the graph of the function 14x + 14y - 10 14x? + 14y? - f(x,y) = correspo...

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Q: Use the definition of the derivative to find the derivative of, g(x)=x3−2x2+x−1

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Q: Simplify f(x). x2 + x - 20 f(x) x + 5 f(x) = x – 4 х — for x +-2 Sketch the graph of f.

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Q: Sketch the level curve of the function h(x, y) = y? - a? for c = 25.

A: Here we have to sketch the level curve.

Q: Evaluate the integral: ap- (A) Which trig substitution is correct for this integral? Or = 10 tan(0) ...

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Q: Lesson: LINEAR DIFFERENTIAL EQUATIONS Instruction: Find the general (or particular) solution of the ...

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Q: x24x+13

A: We will find the integration of the given function.

Q: 4. y = tan(x + a), , where 2x

A: You are asked for multiple questions. As per our guideline we can do only one. Please repost others.

Q: Find 10. cos°0 do

A: Given:  Let I=∫0π cos6 θ dθ To Find: To evaluate the given integral.    

Q: Find the tangent line to ƒ (x) = (2 – 4x²)° at z = 1. %3D

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Q: In using the technique of integration by parts, you must carefully choose which expression is u. For...

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Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is inc...

A: We can find the rate of change of base wrt time as below

Q: Let V be the volume of a pyramid of height 20 whose base is a square with side length 8.

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Q: 1.Determine the formula for the nth term of the following sequences: а, 3 3, ап+1 %3D 2а, ; n 2 1 FO...

A: Given: a1=3an+1=2an ;         for  n≥1

Q: Find a set B that is well-defined such that 10 ɛ B and 5 ɛ B. B = {x|x ɛl and x < 11}, I the set of ...

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Q: For the following equation, show solution for determining the coordinates of the point of intersecti...

A: The given problem can be evaluated as follows:

Q: Eliminate The Abritrary Constant

A:

Q: 3. Newton's Law of Cooling states that the rate of cooling of an object is proportional to the tempe...

A: Solve these question by differentiation method. 

Q: 6. Statement 1: The number of students who are present in Filemon T. Lizan SHS for the first day of ...

A: discreate variable means countable variable and continuous veriable means uncountable variables. 

Q: 1. Using the fact that n(n + 1) Σ k=1 find x³ dx using Riemann sums.

A: Given :  

Q: За Evaluate the integral | la – a| dx, where a > 0 is a constant. You may use geometric interpretati...

A:

Q: Compared to the graph of y = 3 sin x, the graph of y = 3 sin(x + 1) – 2 is shifted %3D O 1 unit to t...

A: Given : To compare the graph of y=3 sin x and y=3 sin (x+1)-2 and to identify where it has been shif...

Q: *.. .... Find the standard form of the equation of the parabola with the given characteristic(s) and...

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Q: Find the average value on the interval 3, 6 of the function whose graph appears below. average value...

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Q: y = Ceax cos(bx) + C2eax sin(bx); a and b are parameters y = Ce2x cos(3x) + Cze2* sin(3x)

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Q: -25 Evaluate the integral: dax x²Vx2 +25

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Q: 2. Consider the graph of g(x) 2x+3-1 a. List any x-values at which g(x) is not differentiable: There...

A: Given: gx=2x+33-1 The graph of g(x) is shown as:

Q: 5. In problems 1-5, by elimination the constant 'a' and 'b' obtain the DEs for which the following f...

A: Given Equation y=Asinx+Bcosx.......................................(i)

Q: Express the function below in rectangular form, (-1+i)-1+i

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Q: Find f(x) if f′′′(x)=3x such that f(3)=12, f(5)=25 and that at x=4, the point of inflection will be ...

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Q: Plot the following points on the coordinate plane. You can use different colors of pen/pencil/crayon...

A: The given points are: M=(0, -3)B=(0, 4)S=(2, 0)Q=(-2, 5)

Q: fin d valve of h the intervai (4.9)

A: We will solve for c. 

Q: A. Find the standard (slope-intercept form) equation of the tangent line to the following: f (x) = x...

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Q: Differentiate the function. z = A + Bcos y

A: We know that d/dx(xn)=nxn-1 d/dx(cosx)=-sin(X)

Q: Complete

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Q: 4 7 7x+25 - Error Analysis. A classmate said that the sum of r²-9 and x+3 is -9 -

A: Given,            The sum of 4x2-9 and 7x+3 is 7x+25x2-9.To find : What mistake did your classmate m...

Q: Which of the following sequences are convergent sequences? Select all that apply. 7" O an n7 1 O an ...

A: sequences are given, we have to find the convergent sequence

Q: Find the volume of the solid whose base is the semicircle y = v4 – x2 where -2 <x < 2 and the cross ...

A: