x2 dx Using trigonometric substitution, the integral is equivalent to V-4

Q: Use the method of Substitution to integrate the following 5s * e^(s^2+4)

A:

Q: 2. Evaluate the indefinite integrals: D = tan r secʻ r dr 8x + 7 dr 72 +1 E = - 2dr F = dr V9 - 36x2

A:

Q: Q2. Let a card be selected at random from an ordinary deck of 52 cards. Let A = [ the card is a…

A: From given information,  n(S)=52, n(A)=6, n(B)=26

Q: s) Find the equation of the tangent line to the curve y = x Vx´ +5 at the point (2,6).

A:

Q: Find the slope of the line 3x-4y-10=0 О а. 4/3 O b. 3/4 О с. 3 O d. 4

A: Solve the following

Q: Which of the following is equal to sec 2 x tan³x dx to obtain the correct indef inite integral?

A:

Q: Use Theorem 7.4.3 to find the Laplace transform F(s) of the given periodic function. F(s) = f(1)4 1…

A:

Q: For each part, type your answer in If sin(x) then csc(x) = %3D If cos(z) = then sec(x) = 3. %3D If…

A:

Q: Use the Laplace transform to solve the given integral equation f(t) + (t – r)f(t)dt = t f(t) =

A: Note that, the convolution theorem says: If g(t)*f(t)=∫0tg(t-τ)f(τ)dτ then…

Q: 3.) Evaluate: S (G++ 2) dx 4.) Evaluate: S(3sinx – 2sec²x)dx

A:

Q: In tan"u du where n is any integer, we use the transformation for tan?u sin?u cos?u

A:

Q: Follow the format of solution of the picture below and show checking.  348610 B2 B8 B16

A:

Q: sing reciprocal substitution *= the integral - dx reduces t I dz -1) 13 -dz (z?– 1) 1/3 zp- D dz

A:

Q: Find the vertex of the parabola, y=x²+4x+1 O a. (2,13) O b. (-2,-3) O c. None O d. (-4,0)

A:

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

A: Slope of tangent

Q: Evaluate: (- Vy + + 10 )dx 10 5.) y4

A: Note: Since the student has made an typing error by writting "x" as integral variable but the…

Q: What is the area of the region between the graphs of y = x – 1 and y : -X – 1

A:

Q: Hint: Multiply the ODE by the factor u = eS p(z)dr Use this result to find the I.V.P solution: y + y…

A: To solve the following problem

Q: Find the radius of convergence and interval of convergencE of the power series. (2х — 1)" 26. E 5"…

A: Use ratio test for checking the radius of convergence  and interval of convergence .

Q: Find the horizontal and vertical components of the vector with the given length and direction, and…

A:

Q: C) = ("; ')-(,".) ')-(,",) +: n . Show that : .r.

A:

Q: 2x2+3x+1, if x<2 f(x)= 3x2 -2x-5, if x 22 Find the value of f(1)+f(2). O a. 8 O b. 7 O c. None O d.…

A:

Q: Choose the point which shows the correct location for the polar coordinate (-3, 315). 90 2 WIN 135…

A: The given polar coordinate -3, 315°

Q: Find the indicated value. Use special angles, together with the fact that z is the period of the…

A: We have to find the value of cot

Q: Find the Taylor Series centered at 1 for the function f(x)= 4x3-2x2+x=5. Show with clear work.

A: We are asked to find the Taylor series centered at 1

Q: 3. Evaluate the following integrals: cos e G = de J (1 + sin 8) vsin 0

A:

Q: Write the complex conjugate of the complex number. Then multiply the number by its complex…

A:

Q: Find all the antiderivatives of the following function. Check your work by taking the derivative.…

A: f(x)=13exIntegrate on both sides:∫f(x) dx=∫13ex dxF(x)=13ex+C

Q: find (a) f• g, (b) g•f, and (c) f • f. (i) f(x) = x*, g(x) = x - 1 %3D

A:

Q: A large company has installed new robotic equipment in its assembly areas. This new equipment…

A:

Q: Evaluate this path limit: 4.xy3 =??? lim (x, y)¬(0, 0) 2x² +y6 x=y3

A:

Q: 3920 - Sp22 5.4 A person's investment is expected to produce a continuous stream of revenue R of…

A:

Q: Solve sin(2 – 62) = - Solve the equation for æ without evaluating the inverse function. (Your answer…

A:

Q: 4V (7x – 5)5

A:

Q: As 2.

A:

Q: Convert a = 60o to a Car Oy = x/2 Ox = V3y Oy= V3x

A:

Q: 1. Find the following derivatives: d E In (1 + In(t)) dt A P B = In (1 + In(t)) dt dr 1/a d E| In (1…

A: Given problem:-

Q: Evaluate the line integral, where C is the given curve.       Cxy ds,    C: x = t2,    y = 2t,    0…

A: Given:        C xy ds ,      x = t2      y = 2t       0 ≤ t ≤ 1

Q: sin'x cos x dx (1– sinx)2(1+ sinx)? Evaluate: sin 8x

A: ∫sin7xcos5x1-sinx21+sinx2dx=∫sin7xcos5xcos2x1+sinx21+sinx2dx=∫sin7xcosxdxLet u=sinx.=∫…

Q: Find real numbers a and b such that the equation is true. a + bi = 2+6i a = 3,6 = 2 a = 5,6 = 9 a =…

A: To find the values of a and b.

Q: Let f(x) = -72* + 59a² + 201¤ + 143 be the function graphed here. Click on the graph and expand…

A:

Q: 3.1 e*dx Evaluate: (e**+1)/[e"+1)?-4

A: option A

Q: The critical point of the function f(x) = x³ – x? + 2x - 23 is (3,2) (금, -2) (음, -2) (금,2) |

A:

Q: Given: tan z = - and z is in Quadrant IV. Find the exact values of sin (), cos (). and tan (5)…

A:

Q: TT sin 5. Approximate dx by Simpson's rule with seventh ordinates?

A: Simpson's Rule:    ∫abf(x)dx=∆x3f(x0)+4f(x1)+2f(x2)+...+2f(xn-2)+4(fn-1)+f(xn) Where, ∆x=b-an We…

Q: de 6) S 7) S(1 – sin? 3t) cos 3t dt 8) ſ tan (5x) sec?(5x) dx cos? e

A:

Q: Which one of the following equations is in the slope- intercept form? O a. 2x+3y-6+0 O b. 2x+3y= 3

A: The equation of line in slope intercept is giveny by:y=mx+cwhere, m=slope c=y-intercept

Q: B C a A Note: Triangle may not be drawn to scale. Suppose a = 10 and b = 7. Find an exact value or…

A: Follow next step

Q: Use the compound interest formula to find the account balance A, where P is principal, r is interest…

A: Principal =$140000 Rate=4.5% Compounded =annually  Time=20.

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

A: