In (by — аx) : COS X

Q: limx->0+ (x^(e) -5x^(4) -3x^(6) - x^(3) +100)

A:

Q: A city has a population of 270,000 people. Suppose that each year the population grows by 5.5%. What...

A:

Q: 3. A savings account accrues interest compounded continuously at a rate of 2.55% per year. If an ini...

A: Question is solved.

Q: sin(y) x(ax + by)-2

A:

Q: The first term of an arithmetic sequence is equal to 6 and the common difference is equal to 3. Find...

A: The first term of the arithmetic sequence, a1 =6 he common difference,d= 3

Q: Find the first 3 nonzero terms of the Taylor Series for f(x)=sqrt(4x-x^2) about the point a =2.

A: Consider the function       f(x) = 4x-x2 Find the first 3 nonzero terms of the Taylor Series for f(x...

Q: Find the vertex, focus, directrix, and axis of symmetry of the parabola. (y+3)²=2(x-4)

A: Given, The parabola y+32=2x-4  We have to find vertex, focus, directrix and axis of symmetry of the ...

Q: Use this partial fraction decomposition": 4 - 8x x4- 1 4x- 2 x2 + 1 -1 3. x - 1 x +1 to help you eva...

A: Substituting the partial fraction decomposition and integrating.

Q: A hedge is to be constructed in the shape of a hyperbola near a fountain at the center of the yard. ...

A:

Q: 2. S = -2 +1-+- 2 4 8

A:

Q: In the given Bernoulli's equation 6y?dx – x(2x³ + y)dy = 0, what is S P-(y)dy? Iny 1/y

A:

Q: 13. Find the mass of a plate with radius 4 inches centered at the origin with radial density functio...

A: Let's find. 

Q: A ball is thrown vertically upward from the top of a building 35 ft high beside which is a covered w...

A:

Q: Select the expression that is equivalent to V8 – x2

A: Here we know that  sinθ= perpendicularhypotenuse

Q: 4. In a certain bank account, at t = 3 years, the amount in the account is Php 52500, and att = 5 ye...

A: topic - compound interest

Q: 11. Find the length of the curve y = 2x3/2 x!/2 from x = 1 to x = 4. 2

A: “Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: Take notes so you can refer to this table: If the integral contains a? – x², try substituting æ = a ...

A:

Q: 2 Verify that for r > 0, y = r is a solution to yy = x. V3

A: Double differentiate to prove the given

Q: Show that the area of the plane region bounded by the curves,  x=y^2 -1,  x= 1 - y^2  is 8/3 square ...

A: Given equation of cyrves, x=f(y)=y2-1,x=g(y)=1-y2

Q: What is f P-(x)dx if the given DE is y(6y2 – x - 1)dx + 2xdy = 0?

A:

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

A:

Q: 2. Initially, there are 500 strands of bacteria in a culture. If the growth rate of the population o...

A:

Q: Solve the differential equation d'x(t) ,, d×(t). +3. + 2x(t) = 4 e' dt dt Where x (0') = 1,x'(0') = ...

A: From the given problem: d2xtdt2+3dxtdt+2xt=4et So, we can also write as: D2+3D+2xt=4et The auxiliary...

Q: Suppose Boris places $6500 in an account that pays 2% interest compounded each year. Assume that no ...

A:

Q: Q: If C,,C,, C,., C, denote the binomial coefficients in the expansion of (1+x)", prove that (-1) 1+...

A:

Q: 5) (x+y-4)dx-(3x- y-4)dy = 0; when x = 4, y =1

A:

Q: Evaluate the double integral / (3x + 2) dA I D when D is the bounded region enclosed by y = x and y ...

A:

Q: f,(x, y) = 5x²y– xy? 2. f,(x, y) = y- Įsin xy + cos. + cos xy] Use x, and y, = 1.0000

A:

Q: Use separation of variables to solve the following initial value problem. Be sure to use the initial...

A:

Q: Find the volume V of the solid below the hyperboloid z = 7-/1+x +y° and above the following region. ...

A:

Q: Evaluate the function at the given values of the independent variables. Simplify the results. f(x, y...

A: Given that: f(x, y)=7-x2-7y2

Q: Identify the quadric surface. 9x2 + v2 - 9z² - 54x - 4y - 54z + 4 = 0 hyperboloid of one sheet ellip...

A: The objective is to identify the quadric surface.

Q: 5x + 26х+5

A: The objective is to factor the given polynomial. 

Q: 7) About the y-axis x = 7y/5 5- 4+ 3+ I 2 3 7 8 X D) 245 490 B) 3 175 A)

A:

Q: find the root of x^2 + x - 2 = 0 using bisection method at 4 decimal place accuracy. show calculatio...

A:

Q: Graph the following polar function r = f(0) = V4-3 sin 20 on the interval 0<0<27 , and find the area...

A:

Q: The equation f(x) is given as 1- x+In(x)= 0. Considering the initial approximation at xo=2 then the ...

A: Given:        fx=1-x+lnx=0  Initial approximation x0=2   Next approximation x1=x0-fx0f'x0         fx...

Q: ) FIND F'6): c. f() - x 2- 3x2 F. f6) = VI-x

A: f(x)=x2-3x2differentiate w.r.t. xf'(x)=(2-3x2)ddx(x)-xddx(2-3x2)(2-3x2)2f'(x)=(2-3x2)-x(-6x)(2-3x2)2...

Q: Find the 1st and 2nd derivatives of the following profit function: =(xa-110)1/a that is, and find dy...

A:

Q: 1. Which of the following situations illustrates a series? a. The population of bacteria after some ...

A: For the solution follow the next step.  

Q: Suppose that f(x) I + 6 is differentiable and has an inverse for æ > 1 and f (2) = 8. Find (f ')' (8...

A:

Q: Find an equation for the surface of revolution formed by revolving the curve in the indicated coordi...

A:

Q: Q2) Expand the following function f(x) = In(x) as Taylor series at x = 3. Find the general

A: The given function is fx=lnx To find the Taylor series at x=3 To find the general term

Q: 4. lim (x- 5x- 2x – x² + 100)

A:

Q: x valuate (1-x)* : 1+x

A: Topic:- integration

Q: 15. Given g(x) = 2x+-x-29x2 +34x +24 a) use the upper bound to complete the interval [-6, ?] in whic...

A: Firstly we can find zeros and upper bound in which all real zeros lie.

Q: A rumor is spreading on an island with a population of 50,000 individuals. When the rumor starts to ...

A:

Q: Find a basis for the row space and the rank of the matrix. 2 1 -3 85 -7 5 6 10 (a) a basis for the r...

A: A basis for the row space

Q: 1) FIND F'): C P)= (x D(2x+)

A:

Q: 3) (x-2)dx+4(x+y-1)dy = 0

A: As per our guidelines we are supposed to solve only one question. So, between your queries the first...