x²-x-6 - lim x→-2 x+2

Q: Question 16 Evaluate: [Vx + sin/ dx. A None of the given choices 2x+ cos/x B + C 2 © x+2cosx + C D x...

A: As we know that; The sum rule: ∫fx±gxdx=∫fxdx±∫gxdx And ∫a·fxdx=a·∫fxdx, where a is the constant.   ...

Q: Match the integral expression on the left with appropriate dV so that the antiderivative will exist....

A:

Q: are

A: We will find the critical points. 

Q: (sin(Inx?))³ -dx? Which of the following is equivalent to the integrand of amcu. cos (In(x?)) – 3cos...

A: Given: I=∫sinlnx73xdx  ....(1)   We know that the trigonometric identity: sin2(x)+cos2(x)=1  

Q: C -dx(use 2 decimal places, no 5+x Let * = 2.06, and y = 1.32. Determine the value of when you evalu...

A:

Q: Which of the following differential equations can be solved by separation of variables A ´sin 2y dx ...

A:

Q: If two functions F & G are both antiderivatives of the function f, the F (x) =G (x). (A) True (B) Fa...

A:

Q: The number of people P(t) (in thousands) infected t months after an epidemic begins 5 - where 1<t<12...

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly aks th...

Q: 15 dx Evaluate V9+ x²

A:

Q: Find the vertex of the parabola by applying the vertex formula h(a) = 6a?+ 16 O (1/12, 385/24) (0, -...

A: First I have written the formula of vertex of a parabola and then by using the formula find the requ...

Q: y = 5t2 - 2t + 4 -'(t) =

A: Given query is to find the derivative of the expression.

Q: 4 x² + 4

A: Follow the procedure given below.

Q: A function F (x) is called an antiderivative of a function f (x), if A F(x)=f (x) F(x)=f (x) F (x) =...

A: Let's find. 

Q: 2x²+ 2x+1 x+1 Evaluate: e dx. 1 + C X +1 A) x² + x +1 x+1 n|x+ 1| + C B - + In|x+ 1| + C D x2 + In|x...

A: The given integral is; eln[(2x^2+2x+1)/(x+1)].

Q: To evaluate / (3x2+ 1) In x dx using integration by parts, it is best to let A u= 3x2; dv= In x dx B...

A:

Q: Write down a formula for ∂z/∂y if z is defined implicitly as a function of x and y by the equation b...

A: The given equation is yz=e3x+z.

Q: e5 (e4– 5*) dx= 5*+1 +C n + 1 5 A) True B) False

A: Since (e^4-5^π) is constant term , therefore it will come out from sign of integration not integrate...

Q: If f(x)dx=cot x² +C , then f (x) is equal to A -2cscx? B -2xcsc?x? © In/cscx²| D O In/sinx²|

A: We have to choose correct option for value of f(x)

Q: xdx 5+ x

A: We will solve the integration. 

Q: (cose+ tane) de / (sece + tan@sec2e) de cos e COS True (B) False

A: We have to find out

Q: 1. Evaluate the integral

A:

Q: (x +2x+3)(5-x) 10. g(x)= 3x+2

A: We will use u/v formula for derivative to find the required result.

Q: xdx Evaluate: 5+x2 A In(x²+5)+C x²+5 (B) In +C 2 None of the given choices D 21n(x²+5) +C E In(/x²+5...

A:

Q: x-x+1 dx Evaluate: 2,2_ 2,½-224C A 3 B 2 2 D 5 3 E none of the given choices

A: We have to find solution

Q: Activity 1: Determine the number at which the function 1 is not satisfied. x2+x-6 if x # -3 1. f(x) ...

A: See the details solution in below

Q: equaton of a line contain iwig the poent (1,7, -3) and parallel to the yz-plar 2 Find an

A: We will find the equation of line. 

Q: Find the equation of the tangent f (x) = 4x – 8a at a = 16.

A:

Q: A graphing calculator is recommended. The curve y = 1 is called a witch of Maria Agnesi. 1 + x2 (a) ...

A:

Q: eV dr S- + 2ev +1 A -2 dr D) None B.

A: To write the equivalent integral. 

Q: 2-x+1 -dx .

A: Please refer attached file for solution below

Q: Question 19 Evaluate: / (secx - tanx)-dx A none of the given choic B 2secx - 2tanx -x+C © 2secx - 2t...

A: Given: ∫secx-tanx2dx  

Q: dx 4+e-* (A) A 4+e-* B D 4e* +1 (E) None

A:

Q: cosh (x) dx sinh (x)dx cosh (x) - sinh (x) is equal to ? B.I A.0 The definite integral of that funct...

A:

Q: Seroslun fecos(sin={w)dv ,cos(sin"

A: Follow the procedure given below.

Q: The curve below is called a serpentine. Find an equation of the tangent line to this curve at the po...

A:

Q: Let {an} be a sequence of non-negative numbers. Suppose that the sequence {an} converges to a > 0. S...

A: Let {an} be a sequence of non-negative numbers.

Q: If f and g are the functions whose graphs are shown, let u(x) = f(x)g(x) and v(x) = f(x)/g(x). %3D r...

A: here f(1)=2,g(1)=1,f(5)=3,g(5)=2 Lets find f'(1),g'(1),f'(5),g'(5): for 0≤x≤2 f'(x)=∆f∆x=4-02-0=42=2...

Q: e5 + - s*) dx= 5*+1 +C I + 1 5 A) True B) False

A:

Q: Evaluate: ) ²dx secx- tanx

A:

Q: dx In then the integrand is the same as 4+e¬* 4e*+1 (А) True B False

A:

Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. x=sqrt(a^(2)-y...

A:

Q: Which of the following indefinite integrals willresult to logarithmic expre. • Inx. A Ssec-(3x) dx 2...

A: We will find the solution. 

Q: evF dr + A в 2 2 E) None

A:

Q: A. FUNCT 1. Solve for the Range and Domain of the given function: g(t) = v4 – 7t %3D

A:

Q: dV The value of C in the equation: dt 500(t+1) -2 , when V=700 and t=0 is

A: Given: dVdt=-500t+1-2 And V=700, t=0 We know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C And ∫c·fxd...

Q: 5. Find the maximum area of an isosceles triangle whose perimeter is 18 inches.

A:

Q: Activity 1: Determine the number at which the function is discontinuous. Show why Definition 1 is no...

A:

Q: How many tangent lines to the curve y = pass through the point (1, 2)? x + 6 At which exact points d...

A: Using y-y1 =m(x-x1 )  where m is the slope of given equation.  Therefore there are two tangent lines...

Q: Which of the following indefinite integrals will result to logarithmic expression? A (2x+7)2 ® Stan(...

A: Topic = Integration Correct option  = B ,D

Q: Question 11 dx 4+e A 4+e- B) 4e+1 E None Question 12 sin'ydy 1+ cosy A 1+cosy B 1- cosy siny sin'y

A: NOTE:- AS POSTED MULTIPLE QUESTION, WE ARE ANSWERING ONLY FIRST QUESTION FOR YOU AS PER BARTLEBY GUI...