If a(3, 4) – b(2, 4) = (8, 10), determine a and b.

Q: x2 -25 a) Find the vertical asymptotes and removable discontinuities of the graph of f(x) = x3 -6x2+...

A: Topic:- function   

Q: # 17 17. f(x)=- (2x+3) (x² +1)'

A:

Q: In(t – 8) 5 7t3 b. y= | 8t

A:

Q: Solve the problem in the right triangle ABC with the standard labeling. Find b if a = 48.7 and B= 42...

A:

Q: A. Evaluate the following integrals. S(x² – 2)² dx 1.

A:

Q: Using the definition of the derivative, find f'(x). Then find f'(-3), f'(0), and f'(3) when the deri...

A:

Q: Find the DE of tge familiy of plane curves described and sketch some of its members 1. tanx-2x3y=c

A:

Q: = 1. Find the general term of the sequence, starting with n = Determine whether the sequence converg...

A:

Q: Determine whether the function x2 + 2 x > 2 f(x) = x = 2 is continuous at the 4х — 2 x < 2 given poi...

A: First of all we will find the left hand limit at X equal to 2 and then find the right hand limit X e...

Q: Find the derivative of arctan(x² + 1) -2x O f' (x) = -2a2 – a4 2x f' (æ) = x² +2 2x f' (x) x4+2x²+2 ...

A:

Q: Decimal fractions: Comparing and ordering Lhance High Jump Competition Height (m) Three athletes com...

A: Given:  Willia : 1.85   Trina : 2.02   Sumi : 1.7

Q: Use Table of values to detemine the limit

A: To use the table of values to determine the following limit.limx→0 5-x-x2  

Q: If $2,000 is invested at 7% compounded monthly, the interest accrued in 8 years is $1,495.65. True ...

A: Topic = Algebra TRUE

Q: V. HIGHER DERIVATIVES AND CHAIN RULE 1. x = (1+t)² 2. y = x²(x – 1)³(2x – 5)² 3. f (x) = /1+ Vī – x ...

A: As per our guidelines, we can help you in solving only first three subparts, Rest of the problems yo...

Q: 3. S sin? (2t) cos³ (2t) dt 4. ſ tan³(3x)dx

A:

Q: Use the properties of geometric series to find the sum of the series. For what values of the variabl...

A:

Q: Evaluate the following limits. a. lim?→3 √x^2 −5−2  b. lim?→64 3√x−4  / √x−8

A:

Q: Verify F(x,y,z) = (2y + z )î + (x – z)ĵ + (y – z )k taken over a triangle cut from the plane x+ y+z ...

A:

Q: (V64 – 2 Evaluate the integral: 52 (A) Which trig substitution is correct for this integral? - 8 sec...

A:

Q: Find the DE of the family of plane curves described and sketch some of its members. Straight lines w...

A: We have to determine the diffential equation

Q: I. Write the equation of an ellipse from general to standard form. Write your final answer on the sp...

A:

Q: Find the derivative. Using Chain Rule y = (2x2 – 1)3(3x² + 1)³ |

A: According to question,Given Function,y = 2x2-133x2 + 13

Q: If z = x + y is an objective function to maximize, with restrictions x ≥ 0; and ≥ 0; y ≥ x; y≤5. The...

A:

Q: Find the average rate of change of the function over the given intervals. f(x) = 9x° +9; a) [1,3], b...

A:

Q: Find the equation of the tangent line to f at x=a f(x) = + 2 at a = 1 O y = -15x – 22 O y= -15x – 8 ...

A:

Q: A rumor spreads through a school. Let y(t) be the fraction of the population that has heard the rumo...

A:

Q: Suppose we have the parametric curve associated with 1 2t, 1 r (t) = t > 0. -- t2' 3t3 Evaluate k, t...

A: Find r'(t) and r"(t) then find cross product and put in the formula of curvatur

Q: (2xy +y Jdx + Cx*- x)dy-e 3

A: Given:- (2xy+y)dx+(x2-x) dy=0 To find:- GENERAL SOLUTION FOR GIVEN DIFFERENTIAL EQUATION

Q: Find the sum of each of the geometric series given below. For the value of the sum, enter an . expre...

A:

Q: To evaluate: The integral function x2 +x + 1 -dx. (x² + 1)²

A:

Q: 4. Use the product rule twice to prove that if f, g, h are differentiable, then (fgh)' = f'gh + fg'h...

A: According to question,we have to prove that,ddxfx3 = 3 fx2f'x

Q: Find ds/dt if t = sy1- s2

A:

Q: Solve sin 40 cos³ 0 d0

A:

Q: v+1.57=3.13

A:

Q: x - yArctan | dx + xArctan ) dy = 0 %3D

A:

Q: The total cost (in dollars) of producing x coffee machines is C(x) = 2200 + 30x – 0.1x?. the exact c...

A:

Q: (b) Find the instantaneous rate cf change of C with respect t i when x = 100, (This is called the ma...

A: Given function C(x)=5000+10x+0.05x2 Aim: (a) To find the average rate of change of C with respect of...

Q: Evaluate the limit using L'Hôpital's Rule. (27x)2/3 +4x lim x→∞ (27x)5/3 – 27x - (Use symbolic notat...

A:

Q: Write your complete solution on the box provided after each number. Determine the standard form of t...

A: Solution of General equation of ellipse is written in step2 and 3

Q: V3 - 2 lim H:-4 5.

A:

Q: Find the value of the constant k that makes the function continuous. 2x-2x-12 if x+3 g(x) = , x-3 kx...

A:

Q: x+1 Let g(x) = Determine all values of x at which g is discontinuous, and for each of these values o...

A: According to question,Given Function,gx = x+1x2-3x-4

Q: Express the repeating decimal as a fraction. 0.949494...

A: Topic:-  Basic maths 

Q: Question 3 A gas station has a cylindrical tank lying horizontally underground. The tank is 15 m lon...

A:

Q: A. Evaluate each of the following definite integrals. 2 Sí (8x3 + 3x2) dx 1. 2. (1+ 2x – 4x²) dx 3 3...

A:

Q: V. HIGHER DERIVATIVES AND CHAIN RULE (1+t)² 1. x = 2. y = x²(x – 1)°(2x – 5)² 3. f (x) = /1+ v1 – x ...

A: second derivative

Q: > [2] S 1+e* dx 1-ex

A: The solution is given in the next step.

Q: Express the repeating decimal as a fraction. 5.919191...

A:

Q: 17. Let f be the function defined by f(x) = . What is the average value of f on the interval [4, 6] ...

A:

Q: Supposes L(x) is the linearization for a function f(x) at a=5. This would best approximate which of ...

A: We have to find which option is best approximate of the following