What rational function satisfies these conditions? lim f(x)=10 (x-->3), lim f(x) =2 (x---> infinity) lim f(x) =2 (x --> -infinity), f(0) =2

Q: Use the integration by parts to evaluate the following integral by assuming u = 6.³ x² dx (cos x + x…

A:

Q: 4. An object is moved along the line from the point (1, 2, 1) into the origin (distance is in…

A:

Q: A right circular cone with radius r and slant height I has surface area given by A = r² + nrl. When…

A:

Q: A differentiable function f(x, y) has the property that ƒ(4, 3) = 6 and fx (4, 3) = 6 and fy(4, 3) =…

A: Given; f(4,3)=6, fx(4,3)=6, fy(4,3)=3.

Q: Determine the percentage relative error (In 2 decimal places) when we compare the derivative of…

A: Since, we have been asked to solve through increment method which state that:-limh→0fx+h-f(x)hAs we…

Q: y = 8 tan 5x + 4 cos 3x + 11secx

A:

Q: Let y = sin(2nx) + b cos x, where b: constant and n: even integer. TU 2 Evaluate y" when x = (a)…

A: Here is the solution:

Q: dx 1 9+(x+2)² 7 8. S₁

A: We need to evaluate integral.

Q: 2. So x+1 (x² + 2x + 6)² dx

A:

Q: Straight line whose y and x intercepts are equal

A: Here is the solution:

Q: Answer

A:

Q: S 2 x (4-x²) 3/² хр

A:

Q: Find the third derivative of f(x)=^3sqrt(9x+1)

A:

Q: Find the following limits. Show all work a) lim x-0 b) lim X-8 c) lim X18 √2x+1-√√x+1 X 2x³-3x+1…

A:

Q: y = ln(5x² + 7x + 4)

A: Given y=ln5x2+7x+4

Q: Given that f(x) = xºh(x) h(-1) = 4 h'(-1)=7 Calculate f'(-1). | Hint: Use the product rule and the…

A:

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) =…

A: Understanding of function and how to calculate its derivative is required in order to solve this…

Q: Do the points (4, 3, −4), (4, 1, −1), and (4, 9, −13) lie on the same line?

A:

Q: Solve x dy - y dx = 2x³ dx. O y = x^3 - cx O y^3 - x^3 - cx Oy=x^3 + cx O y^3 - x^3 + cx

A:

Q: TT Evaluate the integral: (2costi+ sint j + 2tk)dt

A:

Q: let a and b be integers such that 7 divides both a+3b and a-2b. Show that 7 divides a

A: Given 7 divides a+3b and a-2b  Then 7 divides (a+3b)+(a-2b)= a+b  And 7 divides (a+3b)-(a-2b)=5b…

Q: 3. xlny + ylnx = 1 a. y = y = x Y + x x² In x-y y² ln y - x y' = O b. xlny + y yylnx+x ( 21 x y = y…

A: Given,

Q: y" - 16y = 4t Initial conditions: y(0) = 0 y'(0) = 33/4

A:

Q: a Ső 8 ea - e X a dx

A: ∫0aexa-e-xadx=∫0aexadx-∫0ae-xadx=ae-1-a1-1e=ea+-2e+1ea

Q: Solve the problem. Find an equation for the least squares line representing weight, in pounds, as a…

A: Solution: We can directly use here Excel for regression, Step1) Enter data in Excel.

Q: 1) If f = {(0,4), (1, 5), (4, 7), (5, 9)) and g = {(-1, 3), (1, 5), (2, 6), (4, 9), (8, 10)),…

A: Let's solve for all function.

Q: Exponential decay. Subsonic flight. The efficiency of the engines of subsonic airplanes depends on…

A: This is a problem related to exponential function. Please follow the procedure given below.

Q: y = tan-¹(7x)

A:

Q: Make an ORIGINAL EXAMPLE OF "Elimination of Arbitrary Constants (Differential Equations)" A) GIVEN…

A:

Q: ax b.) Find explicit solution for the given initial-value problem (b₂)} \ 1 + x²) dy + × ( 1 + 4y ²…

A:

Q: π π €). Calculate E 2 d dxsin (x) (x) eta

A: Topic:- application of integration

Q: Write the function below in the form y = f(u) and u = g(x), then find as a function of x. dx y = (5x…

A: Given, y=5x+113

Q: Determine the equation of the line tangent to the curve y = 4( 4(x + 3)² at the point (5,64). y =

A: given y=x2x2+41

Q: Evaluate the following integrals 16 ³√/1+√√/x dx √x a) 16 b) S dx x+Vxn-m where m and n are natural…

A:

Q: Use a local linear approximation to approximate the value of 6(1.99)2 +3.02 by a rational number.

A:

Q: Find the required quantity. 2x-1, 1. At what point/s will the tangent/s to the curve y=- 2x+1 be…

A: Given curve is y=2x-12x+1and liney-4x+3=0y=4x-3 Slope of line m=4 Slope of tangent to the curve…

Q: General Direction: • Evaluate the limit of the following transcendental functions using TABLE OF…

A: since you have posted multiple question, I can do first question as per our company guidelines.…

Q: How does the x^4 and the 3x^3 become to 4x^3 + 9x^2. I understand how you got 4x^3 but not the 9x^2.…

A: We know, d/dx (m*xn)=mn(x)n-1 for any real numbers m,n

Q: Solve the definite integral

A:

Q: write the quadratic in standard / vertex form by the completing the square ' f(x)= x^2 + 10x +3

A:

Q: 57-62. Transcendental functions Determine the end behavior of the following transcendental functions…

A: As per the guidelines we are supposed to answer only one question at a time. If you want answers of…

Q: y''+4y'+5y=  y(0)=0  y'(0)=6

A:

Q: F(x) = x³ - 2x² b) manipulate the function algebraically and differentiate without 2x2 alsolve with…

A: Given function:- fx=x3-2x22x2

Q: f(x)=x^3(x+3) *differentiate the function

A:

Q: Find the equation of the tangent plane to the surface determined by at x = 3, y = 4. 2 = 4.4 - x³y²…

A: To find the equation of the tangent plane to the surface determined by x4y4+z-35=0at x=3, y=4.

Q: Let g be a differentiable function of two variables, with first variable x and second variable y,…

A:

Q: 1. f(x) = x7.² + 2x². - x−5+4x − 1 2. g(x) = 5e* — x² + e 3. u = √√√√³+√t + t -

A:

Q: Black pink held a concert in moa arena. the vip ticket sold 15$. Lower box ticket were sold for 10$.…

A: NOTE: Refresh your page if you can't see any equations. . x=number of VIP tickets (each sold for…

Q: Find the derivative of the function. 3 5)³ - (₁ y = 8x²-5 4-X

A: y = (8x2 -5/4-x)3  we have to find dy/dx here we use chain rule and make differentiation d(u/v)dx =…

Q: What is the derivative of 5/x3?

A: