Solve the homogenous diff equation of; y' = y sec x

Q: (19))2a² = -6 +8a

A: solve quadratic equation by completing square 2a2=-6+8a

Q: d the limit lim X-3 x-2-1 x-3

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Q: Determine the set of x-values where f(x) = 8x² + x - 8 is continuous, using interval notation.

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Q: The profit P, in thousand of dollars, that a manufacturer makes is a function of the number N of…

A: Given P = −0.2N2 + 3.6N − 9

Q: x-2 x-2x²+x-6 5. Evaluate: lim

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Q: A bicycle tire inner tube producer can sell 1111 inner tubes at a price of $1.54$⁢1.54 per inner…

A: Given problem:- A bicycle tire inner tube producer can sell 11 inner tubes at a price of $1.54 per…

Q: Q3: What are the ways tha

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Q: 2. lim f(x) = | x-1 lim f(x) = 1 x1+ lim f(x) = | f(1) = |

A: 2.According to graph limx→1-fx=1limx→1+fx=1limx→1-fx=limx→1+fx=1there fore limx→1fx=1    limit exist…

Q: 2) y"+y' - 1 = 3 cos(x)

A: 2.

Q: For each statement,write true or false {0,2,6}={6,2,0} {2,3,4} =[2,4] {XER:0≤x≤6}= [0,6]…

A: We will  state whether the statement is true or false.

Q: Let f and g be functions defined as f(x)=x²- 2x + 4 and 25 4 DNE 1 g(x) = 3x² + ²3. If h(x) ≥ g(x)…

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Q: Use the Chain Rule to find dz/dt. z = tan−1(y/x),    x = et,    y = 5 − e−t

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Q: 1. Prove the following limits xy lim (x,y)→(0,0) √x²+y² x³+y³ D) E) lim (x,y)→(0,0) F) x²+y² x² - y²…

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Q: Use the given graph to determine the open intervals on which the function is either increasing,…

A: Graph of the function is given, we have to find the intervals for which the graph is increasing,…

Q: write true or false for each statement  1. {∅}⊆{∅,{∅}}   2. ∅⊈∅   3. {∅}∈{∅}

A: The answers are given below:

Q: (a) Find the Taylor series expansion of the function cos x around x = 0 (b) Use the first three…

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Q: Find values for c and d that make h(x) continuous. ۱۱ - c=d=0 2x h(x) = cx²+d O c = 2 and d = 0 O c…

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Q: Find the limit x-5 lim x→5 x²-25

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Q: In problems 16-19, each limit represents the derivative of some function f at some number a. State f…

A: This question can be solved using the concept of derivative of a function y=f(x) at a given point…

Q: 59. Horizontal; containing the point (-3,2)

A: find an equation for the line with given properties.

Q: (a) Find the Taylor series expansion of the function et around x = 0 (b) Use the series above to…

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Q: 2 2. f(x) = 5-x², (3,-4)

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Q: The Z-transform of the following function f[k] = 2.2k +$.(-5)* – ²³ (-4)* is so the constants A and…

A: z transform

Q: Make a table of values for the equation. y = 5x X -2 1 1 2 || y Sketch a graph of the equation.

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Q: (d) y' = x(1 + y²), y=tan(\x²)

A: Solution of the differential equation satisfy  the differential equation

Q: 9) ²-4r-91=7

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Q: A squirrel is running along a straight wire. Its position (in inches) after t seconds is given by…

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Q: Given the function f(x) = 4x² - 7x + 5, which of the following is f(x+h)? OA. 4x²2²-7x+5+h OB. 4x²…

A: The function is given by fx = 4x2-7x+5 To evaluate: The expression of fx+h

Q: Find ¹ 2 2x² ке 22 дуг Z=109 √√x²+² xy

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Q: A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 12…

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Q: Make a table of values for the equation. x + y² = 9 X Sketch a graph of the equation. у -2 -1 0 1 2

A: Substitute y=-2 in x+y2=9 and calculate the value of x.       x+y2=9x+-22=9       x+4=9…

Q: Evaluate the following relations for given values f(x) = 3x² - 2x (a) Find (b) Find f(x + 2) f(1 -…

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Q: What does it mean, graphically and algebraically, for an equation to be even or odd? How would you…

A: we will do as required.

Q: 3) Given f(x) = x² - 2x - 8 A) find the derivative f '(x) by solving lim [f(x+h)-f(x)] h→0 ALWAYS…

A: NOTE: Refresh your page if you can't see any equations. . substitute x+h for x

Q: 1. Given: F(x)= 3x²+x-4, G (x) = 1-x' and H(x)= Find the following. H(-4) F (0) G (-5) a. b. C. x +…

A: As per our guidelines we are allowed to solve only 3 sub-parts. kindly repost others. THANK YOU.…

Q: 10) Consider three functions x(t), v(t), and a(t), such that dx dt dv = v(t) - -= a(t) dt The…

A: NOTE: Refresh your page if you can't see any equations. . here the given velocity function is

Q: 1. Find an equation of the tangent plane to the surface of z = sin(x - 2y) at the point (7,2,0).

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Q: A. Write ✓ on the line if the given equation is a circle; otherwise write x. If the equation defines…

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Q: A function f(x) is said to have a removable discontinuity at a = a if: 1. f is either not defined or…

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Q: Slopes of Secant and Tangent Lines - Homework 1. For the function f(x) = 5x + 3, find the following.…

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Q: Find the solution of the differential equation (6x² − y + 3) dr+ (3y² - x - 2) dy=0 1 O x + O 2x³ O…

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Q: 3. lim_ f(x) = X-3- lim f(x) = X-3+ lim f(x) = x-3 f(3) =

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Q: Use the matrices A and B given below to complete the following. Enter all answers in exact, reduced…

A: Concept: Multiplying a m×n matrix with n×p matrix results in the matrix m×p Here it is essential…

Q: Consider 3 4+2³ (a) First, define this as a Mathematica expression and compute the third derivative.…

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Q: Given the graph of f(x) = √√x as shown, graph the function 5ƒ(x) – 5. -7 -6 -5 -4 -3 -2 -1 7- 6 5+…

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Q: Z(A+BZ²) The Z-transform of the following function f[k] =2.2+(-5)*-(-4)* i (Z-2)(Z+1)(Z+5) so the…

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Q: 2. Show that the function f(x) = xsinx has in infinite number of Critical Points by doing the…

A: The given function is : f(x)=xsinx Now finding the derivative f'(x) :

Q: Given AABC, what is the m48? 6.309 35 39 808 54 903 90 0679 11 9

A: We have to find angle B.

Q: f(x, y, z)= 1+ 2xy³+3y- Find the following: a) fz(x, y, z) b) f(1,1,1) c) fz(x, y, z) d) f.(1, 1, 1)

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: im -3 1 x+5 8 x-3 ►

A: