Determine the limits of the following using the table of values 1. lim 3x 2. lim (x2 – 1) x→ー1 3. lim v2x X-2

Q: Suppose an angle has a measure of 125 degrees. Another circle is centered at the vertex of the angl...

A: To find out the 1/360th of the circumference of circle and also the circumference of circle.

Q: 3(sin y- cos y)* dy cos y

A:

Q: Find the derivative of the following functions: 5. y = tanh 2x +coth 3x ans. y' = sech²2x – 2csch²3x...

A:

Q: de 20. J 902 +120 +9

A:

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

A: For series convergence: an =x9nRatio test:limn→∞ an+1an < 1= limn→∞ x9n+19xn < 1= limn→∞ x9nx9...

Q: A toy rocket is shot into the air. Its height, in metres, after t seconds is given by  h(t) = –4.9t...

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly re...

Q: . h(x)= cot 1 -tanx

A: Given:hx=cot-11x-tan-1x

Q: 4. lim x5 x- Note* the sign is negative -1/2 5. lim va N. -- I. 2v2 6. lim 3x Vx Н. 243 3 x-27

A:

Q: A circle with a circumference of 504 cm is centered at the vertex of an angle, and the angle's rays ...

A:

Q: Find the vector and the cartesian equations of the plane containing the point î+ 2j – k and parallel...

A:

Q: 3. Find the number of paths from A to B, travelling along the lines, downward or to the right.] A B

A: Number of paths from A to B is choose 5 from 11 . That is using combination 11C5

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A:

Q: A. Find the derivative of each function. 1. f(x) = 5x²(3x - 6) %3D

A:

Q: Let f(x) = V43 – ¤ %3D The slope of the tangent line to the graph of f(x) at the point (7, 6) is The...

A:

Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

A:

Q: 2. [ * xkbr cos*x- sin 3(sin y- cos y)° dv 10. cos y

A:

Q: 11x?–13x Evaluate lim,→∞ 25x²– 28x+3 11 25 3 25 11 3 25 11

A: Topic:- calculus

Q: Solve the problem. Suppose that fis continuous and that " H2) dz-0 and S Ka) dz = 4. Find - 60) dx ....

A:

Q: e +e =e**

A:

Q: Activity 1: Remember Me Consider the situation below. Use your knowledge on probability in answering...

A:

Q: Determine whether the series converges. 1 k=I Ve 1) To determine whether a given series converges, i...

A: To determine whether the series converges.

Q: Just answer no. 1-3 thank

A:

Q: Find the second derivative of y = Vx² +x-3 O 6/x O 12/x^5 O 6/x^2 O 12/x^3

A: dxndx =n.xn-1 dcdx =0 ; where, 'c' is an constant number.

Q: Using either permutation or combinations: Seven children are to be selected from a group of nine ch...

A: a)  As the Danylo and shuying are included . So now we have to select 5 children out of remaining 7 ...

Q: Using either permutation or combinations: Seven children are to be selected from a group of nine ch...

A:

Q: find f ′(x) for each function. f (x) = x7 + 10

A: Solution: Given data,  f (x) = x7 + 10

Q: Find the slope of the secant line between the values x1 and x2 for each function y = f (x). f (x) =...

A:

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

A:

Q: If lim f (x) exists and p is an integer, then lim (f (x))", where p is an integer, always exists. Ch...

A:

Q: The integration expression sin(3In(x) + 4)cos(3In(x)+ 4)dx must be transformed into using suitable c...

A: topic- indefinite integration

Q: Verify that the function y(r) = 2, is a solution of the initial value problem dy + 2y = 3y, v(0) =; ...

A:

Q: Suppose a circuit contains an electromotive force (a battery) that produces a voltage of E(t) volts ...

A: We need to find Q(t) and I(t).

Q: . SALARY COMPARISONS A Stenton Printing Co. employee taking an annual raise of 8%/year for the next ...

A: Formula for increase in income: I= P[1+r]n Where r-rate  increse in % /100  P- initial amount n- no ...

Q: Find a one parameter family of solutions of the following separable equation: dy 74 - 4 12r2 – 6e3r ...

A:

Q: The solution of the integral is always positive number. Select one: O True O False

A: Given statement- The solution of the integral is always positive.   Integral:- solution of integral ...

Q: de 20. J 90² +120 +9 (3y– 2)cy 24. Jy² +2y+17

A: To evaluate the given integrals.

Q: 3n+1 ба) n"

A:

Q: 12 Find the arc length of y = In(1 – 2²) on 0 < x < 19 No decimal entries. Find the exact value. L =

A:

Q: compute the value of the following improper integral. If it is divergent type D. dr (5x+1)

A: To compute the value of improper integral: I=∫1∞1(5x+1)2dx...(1)  

Q: A toy rocket is shot into the air. Its height, in meters, after t seconds is given by h(t) = -4.9t^2...

A: We need to solve toy rocket problem.

Q: f(x) = 4x + 9x- 3 has an inverse g(x). %3D Use g '(x) = 1 to find g '(-3). %3D f'(g(x)) g'(-3)=

A:

Q: Differentiate f(x) = //2x² 4х + 2 %3D - 02() x-1 2x2-4x+2 x-2 2 2x2-4x+2 x-1 2x2-4x+2 x-1 2 2 2x2-4x...

A:

Q: dy a. Use implicit differentiation to find the derivative dx b. Find the slope of the curve at the g...

A: Given : cosy=6x3-6   To Find : a) dydxb) slope of the curve at the point (1,π2)   

Q: (S(nx)?dx re' 8.

A:

Q: e6x _4e' —6х lim x→-0o 2e3x-5e-9x+e-3x

A: Topic:- calculus

Q: 2" +1 2n +n

A:

Q: Evaluate the following indefinite integral. Use C for any constant of integration. * 4x³ + 8x² + 75x...

A: A detailed solution is given below

Q: [-1 3 -11 12 2 [13 17 61 B =-1 -4 2 1 -2 31 19 9. C =| 20 A =5 2 7 -9 10 2 2 -5 -3 -1l -4 -11 1 -10 ...

A: Note: As per our company guidelines, we are supposed to answer the first three subparts of the quest...

Q: INTEGRATION PROCESS Direofion: Evoaluate the Following integrals 3. Slsnxtcos x) d. x +3 2. dy

A:

Q: Exercises: Evaluate each of the following indefinite integrals: f(cos*x- sin * xkhe let u= ſ(cos": d...

A: