2 3 хе dx

Q: 19) In Problems 19) through 21), given a piecewise function: |(1- tanx)cot x f(x) = 3/ k (x > 0) (x ...

A: Given that:                              

Q: The size of a certain insect population is given by P(t)=400e population equal 2000? 011 where tis m...

A: Given that: Size of population at any time t, P(t)=400e0.1t

Q: 6y" + y' - y = 0 is yı =e*³. Use the method of reduction of order to find a second linearly independ...

A: Topic:- Solution of differential equations

Q: particle moves along the x axis so that its velocity at time t is given by v(t) = (t^6 -13t^4+12)/10...

A:

Q: 1. Use the following matrices to compute the indicated expression if it is defined. [ 3 A = 15 21 6 ...

A:

Q: Perform the indicated operation and simplify if possible. 17. 17 O A. V7 O B. 7 OC. V14 O D. V49

A: Topic:- simplification

Q: Evaluate the integral. Show all your work. dx (x² – 1)32

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Q: dり me me pag

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Q: months

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Q: (a) Find the point of intersection of the tangent lines to the curve r(e) = (5 sin(at), 6 sin(æt), 4...

A: Given:   r(t) = ⟨ 5 sinπt , 6 sinπt , 4 cosπt ⟩    When t = 0 and t = 0.5

Q: Find the magnitude ||0|| of the vector ü = i- 3j. Round your answer to 2 places after the decimal po...

A:

Q: Evaluate, with the order of integration being reversed, an equivalent integral of the following inte...

A: We have to solve given Integral by reversing the order of integration.

Q: Make a hyperbolic parabloid

A: Here is the image 

Q: Find the equations of the tangent line and normal line to the given curve at the specified point. y ...

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Q: Calculate a and b such that v = au + bw if u = , w = and v = .

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Q: Implicitly derive all variables in terms of x. Equate the derivative in terms of y'. Simplification ...

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Q: Question 3 Transform the polar equation 6 to an equation in I and y. Submit Question

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Q: ind by implicit differentiation if y is defined as a function of x by the equation xy' + x? = x + 3y

A: Topic = Differentiation

Q: Explain why the function is differentiable at the given point. Then find the linearization L(x,y) of...

A: The given function is: f(x,y)=y+sinxyGiven point is:  P=(0, 3)

Q: (b) Explain why the integral e- *x* dx is convergent.

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Q: 1. f(x) = -|x + 6| + 5 Range: x-int: у-int: Intervals on which f (x) is decreasing: Relative Extrema...

A: f(x) =-x+6 + 5                                      

Q: h(x) = [square root] 5+4f(x) f(4)=5 f'(4)=2 find h'(4)

A:

Q: 9 lim + -8-+ I+8 1² + 7x –8,

A: limx→  -8-x+7x+8+9x2+7x-8

Q: Let f(x, y) = (x+(G))'. Determine the directional derivative of f at the point (1,0) in the directio...

A:

Q: 13.

A: y=tsint1+t

Q: (-1)"n For positive integer n, let a, = 3" Determine whether the sequence {an} is convergent.

A:

Q: 1) In Problems 1 through 4, given f(x) = 3× , g(x) = eX, h(x) = In x. Use Dr. Dai's Differential and...

A: Topic:- derivatives

Q: 1. y = 2x2-5 at ( 2, 3) %3D

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Q: I. For each of the following generalized complex numbers: Y = a + ib Z = c + id Show the following f...

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Q: Problem 4 Show that arcsinh(x) = sinh(x) = In (x+ V/x² +1). %3D int: Let y = sinh¬' (x). Then x = Iv...

A: Topic:-  trigonometry

Q: Find a vector b such that |b| = 1/2 that is parallel to a = but with opposite direction.

A: Given that: |b|=12a=<-6, 3, -2>

Q: I. For each of the following generalized complex numbers: Y = a + ib Z = c + id Show the following f...

A: Given

Q: Question 4 (а) Evaluate, with the order of integration being reversed, an equivalent integral of the...

A:

Q: From a point A the angle of elevation of a mountain is 14.3 degrees, and from a point B, directly be...

A: From the given information, we have to find the height of the mountain.

Q: -dx. Evaluate ſ &-3)(x*-1) ,. х2-2х-3

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Q: 2. Consider the following graph of x = F(y) and x = G(y). 2- The orange curve is F and the purple cu...

A:

Q: Differentiate. A f(x) : В + Сех f'(x) =

A: Given  f(x) = AB+Cex f'(x) = dAB+Cex-1dx                       ∵1a = a-1

Q: Consider the following integral: dx I = Vx - x² a. Use the substitution u = x - ; to show that I = s...

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Q: Express the repeating decimal as a fraction. 0.904818181818... 0.904818181818... =

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: Given series is ∑k=1∞164k2+48k-7 Determine whether the series is convergent or divergent

Q: Evaluate the limit |t +5| lim t→ - (5) t + 5

A: we have limt→ -5-t+5t+5

Q: Let f(x) = and calculate V15 x+1 f(x) dx by using integration by substitution. What was your substit...

A:

Q: In Exercises 27-30, form a function z = f(x, y) such that fx and fy match those given. 27. fx = sin ...

A: We know,  f(x,y)= ∫fxdx=∫fydy

Q: Solve the limit using table of values.

A: Given that: r(x)=x-2x+5,               x≤-44,                       -4<x<0x2-7x+4,          0≤...

Q: 21-24 Find an equation of the tangent line to the curve at the given point. 21. y sin x + cos x. (0,...

A: we  have to find equation 

Q: The shadow of a vertical tower is 73.0-ft long when the angle of elevation of the sun is 32.0°. Find...

A: From the given information, we find the height of the tower

Q: Explain why the integral ex*dx is convergent.

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Q: dy (8y – a²y) + x – xy² = 0 dx

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Q: 22) Find lim -5 e-2x+6 .given e =2.7 and e0 = 1. = %3D X 3 A) -13. 5 В) - 2.7 C) 0. 0 D) -5.0

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Q: (S) possit Given In 6=1.7918 and In 23 =3.1355, find the value of the following logarithm without us...

A: We will use the fact that  ln(a/b)=ln(a)-ln(b).