x² dx Using trigonometric substitution, the integral is equivalent to A 4 sec²0 tan0 dô B | 4 tan 0 sec® do a14 sinº0 do 13 D 4 sec³0 do

Q: Jv²esc?(y³)cor²(y³)dy, we let u = cse(y³) A True B) False

A: To solve the following integral by substitution

Q: dm =2 | cosh2m dm A True B False

A: A detailed solution is given below

Q: (4x2+ 5x4)dx By method of partial fraction, the integral | - can be evaluated when expressed as…

A: We find out the partial fraction decomposition of given integral. Follow 2nd step.

Q: In the year 2000, the population of a small city was 41,000. The population grows at a rate of…

A: 2037 -2000 = 37 =t at 2037 population growth is = 1300*e(0.03*37) population  growth= 1300e1.11…

Q: and that angle A is in Quadrant IV, find the exact value of csc A V91 10 Given cos A : in simplest…

A: The objective is to find the exact value of cscA.

Q: sin'x cos x dx Evaluate: (1– sinx)²(1+sinx)² sin 10 +C 10 A sin8x sin 10x +C 10 B 8 sin8x +C 8 D)…

A:

Q: (x+1)dx If (x+2)(x– 1)² A B 2 + dx ,the values of A & C respectively are x - 1 (x- 1)² . 9 3 x+2 (A)…

A:

Q: Problem 3. The softplus function is given by A2) = log(1 + e) A) Plot ſ(2) as a function of z. If…

A: (1) solution

Q: Given sec A = and that angle A is in Quadrant I, find the exact value of sin A in simplest radical…

A:

Q: Question 10 [i[cosh:(2x²) – sinh ( 2x³) ]dt is equal to A © Sude xdx E None

A: Integration

Q: 4V (7x – 5)5

A:

Q: Find the exact length of the curve. x- 2, y=? - 2, Osts 6

A:

Q: Determine whether the function is one-to-one. If it is, find a formula for its inverse. f(x) = 4x -…

A:

Q: a. f (x) sin x

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 3x^2 + 42 + xy = 5 and y(5) = - 18, find y' (5) by implicit differentiation

A:

Q: Determine the radius of convergence and interval of convergence for the following power series: P…

A: The given series is: ∑n=1∞(-1)n(x+8)n7n+1 Let an=(-1)n(x+8)n7n+1, n≥1

Q: () If h(x) = | cosxdx and h =4, then h (0) is equal to 4 A -3 B 3 4 D -4 E) None C.

A:

Q: Question 9 – 4 Evaluate: Vx* dx ④ -VR-4-25ec-1(즐)+c + C ① -R-4+2sec-1(즐).c B + C = 2/x2 – 4 + sec +…

A:

Q: sin(en sin-lx )dr =- cos( sin-!x) +C V1-x? A) True B) False

A: To solve the following integral

Q: Find the sum of the infinite geometric series 1 1 1 4 1 +.. 64 16

A:

Q: Evakate: fcos 2xdx cos2x, cos 2x +C A sin2x sin 2x B 6 +C sin2x, sin 2x +C 6 2 cos2x cos 2x +C D 2

A: To evaluate: I=∫cos32x dx

Q: Question 7 By algebraic substitution, the integral dx dx is converted to: 4+/x dy A) y+4 ydy B Jý+4…

A:

Q: Evaluate: Jy?cos2ydy 글an2y-글ycos2y+ 금snzy+ A 1 1 1 żsin2y-ycos2y-sin2y+C В 4 1 © sin2y+ycos2y+sin2y+…

A:

Q: ,Insec2 (sin2y), dy Which of the following is one of the correct steps to evaluate the sec2y -…

A:

Q: Evaluate: Jcos 2xdx cos2x, cos³2x + C 6 A + 2 cos 2x + C 6 cos2x B sin 2x + C 6 sin2x 2 sin2x sin32x…

A:

Q: 2m '+e-2m ) dm=2 12m dm (А) True B False

A:

Q: Which of the following is one of the correct steps to evaluate cos - dt to obtain the correct indef…

A:

Q: To begin evaluating sin*xcos xdx conveniently, express: 1 A cos x as (cos?x) ²cosx and use the Half…

A:

Q: (x+1)dx If (x+2)(x – 1)² B dx ,the values of A & C respectively are (x-1)2 X- 1 A True B False

A:

Q: Question 10 Soviax. Evaluate: 2ev(/x+1) + C A 2 =2ev(/x- 1) + C © =2ev(/x+1) +c %3D 2ev(/x- 1) + C 2

A:

Q: 1 - tan³3r - ( ? ) tan3r +r + C, then find the missing ( ?) term. 9. Af ter evaluation, is / tan…

A: To solve the following integral

Q: Find all values x=a where the function is discontinuous. For each value of x, give the limit of the…

A: Let's find.

Q: 4. When the graphs of two functions intersect the angle of intersection is defined as the angle…

A: Slope of tangent

Q: Consider the alternating series -1)"bn with n=4 3n2 bn |3D n2 - 4 (a) Is the sequence {bn}…

A: The given series is: ∑n=4∞(-1)nbn, bn=3n2n2-4

Q: Evaluate: Je*cos(7e*)cos(4e*)dx. 1 A 1 ④ 능Sin(3e")- Sin(11e") +C sin(11e*) + C 22 1 (в 1 sin(3e*) +…

A:

Q: 2. lim f(x) = x2– 4x +4 X Use the domain [-9,6] to draw the graph. х -2

A:

Q: Determine if the following series is convergent or divergent: V2n3 + 3n 4n +3 O Convergent O…

A: To find out that the series is convergent or Divergent.

Q: sech (Insinx) cotxdx=2tan-1(sinx) +C A True False 2m + ") đm=2 -2m cosh2m dm True B False sinu tan"u…

A: We have to choose correct option

Q: For the function, f(x) = 6x, determine whether it is one-to-one. If the function is one-to-one, find…

A:

Q: Question 9 To evaluate J y-cse(y?)cor²(y³)dy, we let u =cse(y³) A) True B) False

A:

Q: Evaluate: Scos 2xdx cos2x, cos 2x +C A 2 6 sin2x sin32x +C 6. B 2 cos2x cos 2x + C 6. 2 sin2x,…

A:

Q: If h(x) = cosxdx and h =4, then h (0) is equal to 4 | (A) - 4 B None 3 D -3 (E 4

A: Explained below

Q: Question 3 x+6 is divided by x-1 4x+24 The restrictions on X, when can be written in the form 2x2…

A:

Q: To begin evaluating sin*x cos°x dx , express A cos x to (cos?x)cosx and use the identity cos?x=1-…

A: We have to use option (A) cos^5x to (cos^2x) ^2

Q: Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the high…

A:

Q: Solve 8 sin (6x) = 3 for the two smallest positive solutions A and B , with A

A:

Q: dx is 2/x – Sin|/x +s|+c. Vx +5 The antiderivativeof | - A True B) False

A: To find the antiderivative of the function

Q: Fincd the inverse matrix by cofector u A= 3 2

A: Given query is to find the inverse matrix.

Q: S. (e3* + 1) / (e3* + 1)²– 4 Evaluate: e™dx e sec -1 6. 3x +1 -+C 2 A e +1 e 3r B sec -1 +C 2 C None…

A:

Q: Evaluate: Je*cos(7e")cos(4e*)dx. 1 1 + 22 1 22 sin(3e") - sin(11e") + C 22 © -cos(3e*) – -cos(11e*)…

A: See the answer below