1. Find 2(3z + 4)² dz.

Q: For each differential equation in Problems 1–21, find the general solution by finding the homogeneou...

A: First I have written the differential equation into operator form and then solved it.Final solution ...

Q: A geometry teacher wants to draw a rectangle inscribed in the ellipse x? + 4y² = 16. What is the are...

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Q: Suppose that f is differentiable on R and f'(x) = e*-4x+3 – 1 for all x E R. Determine all intervals...

A: Find your answer below 

Q: x6 12 10- 12

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

Q: If y? In(x) = 5, find dy/dx. dy dx

A: This question is based on differentiation with respect to x.

Q: Find dy/dx implicitly and find the largest interval of the form -a < y < a or 0 < y < a such that y ...

A: follow the procedure given below.

Q: Queskon (2): sKelch and ind Range.- り f: (x+2-4 2) fra): 4- Vx-5 Lo -1x +3 +5 u) frag= 2-15+x

A: Hello learner, we can answer the first question among the asked questions as per the honor policy. P...

Q: How does mL=(M+m)D simplify to m=M (D/L - D)?

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Q: Instantaneous Velocity The velocity of moving object at a point during its motion can be determined ...

A: The given velocity function is: f(x)=-x2+6x-2 where x is the time in seconds.  

Q: Suppose y = V 2x + 1, where x and y are functions of t. (a) If dx/dt = 9, find dy/dt when x = 4. dt ...

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Q: Activity 3 Find Your Rate at this Moment Directions: Differentiate the following functions and deter...

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Q: Find all the 1st order derivatives of the function f (x,y) = x2y Part 2) Find all the 2nd order part...

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Q: x" +x +1 = 0 Homogeneous O Not homogeneous

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Q: *39. A piece of aluminium strip of length e m is used to make a window frame as shown in the figure....

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Q: Determine the particular solution. v" – 2y' + 5y = 0; v(n) = 1,v'(n) = 0 Oy- e(0.04cos(2x) - 0.02sin...

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Q: Solve the initial value problem. dr 2 dr dt? 13 dt = 4, r(3)= 1 It%3D3 r(t) =D

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Q: Apply the limit laws and evaluate. If your answer is "DOES NOT EXIST" please type DNE. (2 points eac...

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Q: A polynomial f (x) and one of its zeros are given. Find all the zeros. 3) f(x) = x* - 6x + &? + 30x ...

A: We have to find roots of polynomial

Q: Consider the following. y = 9 cos“(x), y= -9 cos“(x), -x/2 s x sa/2; about x = R (a) Set up an integ...

A: Given that,  

Q: 5. (sinx + cosy)dxdy

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Q: Queskon (2): skKctch and ind Range.- 2) frx)= 4-Vx-5 ) fon= (x +2) -4 fox)= -Ix +3 +5 u) froys 2-V5+...

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Q: Find dy/dx in terms of t if x = t – t, y = 2 – 5t dy/dx = %3D

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Q: 1. Using Inverse Matrix method, solve the roots of the given equation/s. The following system of equ...

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Q: Evaluate the integral using the following values. '3 '3 x3 dx = 20, х dx %3D 4, dx = 2 1 '1 x dx 13

A: We can find the answer as below.

Q: Find the limsup and liminf of the following sequence: sin (2) а) аn = n

A: Here we have to find the limsup and liminf of the given sequence an .

Q: Problem 2: Show that (n + 23)³ is O(n³)

A: f(n)∈O(g(n)) iff ∃ scalars C,n0 such that f(n)≤Cg(n) ∀n≥n0

Q: Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and...

A: Follow the procedure given below.

Q: l- Direction: A.) Solve the following exponential equations. 1.493r 343-2r 49 %3D 2. 3n * 216 = 216 ...

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Q: Write the equation in exponential form. 1 10) loe36

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Q: Consider the following alternating series. E(-1)* 4k + 1 k=1 00 a) An alternating series can be writ...

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Q: Find the limit. 1. lim (1.001)* 2. lim (1.001)* ズー ex -e -3x 3. lim 4. lime 3x -3x e* +e*

A: Topic = Limits As per guidelines , At a time only three sub-parts can be answered. Please repost for...

Q: 3. Consider the function f (x) = 2 x + 1 on the interval [2, 6]. (a) Compute the left-endpoint appro...

A: Solve the following

Q: Find the total length of the astroid defined by the parametric equations x(t) = acos't and y(t) = as...

A:

Q: 5. lim In(1+x)-In(1+ x)] 6. lim In(2+x)-In(1+x)]

A: limx→∞ ln1+x2-ln1+x

Q: hypothetical

A: We will find the rate of change of sides of the cube. 

Q: Hw X+22=9 zy +7=8 4X -3y =-2 Aus , X=1 ,u=2 ,Z=Y

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Q: Find the critical numbers of the function. f(x) = x5 - 5x4 Step 1 To find the critical numbers of f,...

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Q: A camera is set up at the starting line of a drag race 60 ft from a dragster at the starting line (c...

A:

Q: Your monthly profit (in dollars) from selling magazines is given by P = 7x + Vx where x is the numbe...

A: Monthly profit (in dollars) from selling magazines is given by the function,        P=7x+x Where x i...

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

A: We need to find the component of the vector v

Q: QuestionC):- Find Domain the next funclions:- 2) fex) = log 2x-4) x-4 3) fix)= ln Cxa) + u) frn)- 1-...

A: We have to find the domain of the given functions.  

Q: 1) (4x³ - 17x² - 1x + 29) + (x - 4) 1)

A: We can divide the asked question using long division method as below.

Q: Solve the following initial-value problems starting from yo = 6 . dy 5y dt A. y = At what time does ...

A: This is a problem of differential equation. Based on the general method and initial value we will so...

Q: H.W: Evaluate the integral 3. -4y)dydx x*ydxdy 1 -1

A: ∫xndx=xn+1n+1

Q: 2. X and Y are 3x3 matrices. |x|=-2 |y/= 3 (detarmenands) こ? A) 81 B) -81 C) 3 6 D) - 36 E) NOWE Uha...

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Q: Let f(x, y, z) = 6xy- z, x = 3r cos(0), y = cos (0), z = 3r. Use the Chain Rule to calculate the par...

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Q: Directions: Differentiate the following functions and determine the slopes of the tangent lines at t...

A: Topic = Derivative

Q: Say whether l'Hospital's rule applies. If it does, use it to evaluate the given limit. If not, use s...

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Q: Represent the function 5 In(10 – x) as a power series (Maclaurin series) f(x) = L Cnt" n=0 Co C1 C2 ...

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Q: cos x dx = 0 %3D

A: