x-1/2 d) -dz e) 5e5x 2x1/2 x-5/2 dx x-3/2 e5x f)

Q: 3. Determine the differential coefficient of y =-+2x – 3 when x = 7 4. If f(t) = 3 sin(4t + 0.12) –…

A:

Q: 7. Use linear approximation to approximate the value of log(99) without the need for a calculator.…

A:

Q: Use Green's Theorem to evaluate the line integral. dx + ху dy C: boundary of the region lying…

A:

Q: 4+x a) lim- 1+(3+ x)

A:

Q: If a building contractor hires 8 day laborers and 2 concrete finishers, his payroll for the day is…

A:

Q: An object with an initial velocity of v(1) = 2 has an acceleration of a(t ) = %3D ( 2t – 1) What is…

A:

Q: 3. Supply the missing integrand and limits of integration. 61y drdy fip (b) 62y dydz =- dr

A: Solve it.

Q: Ti al Write step-by-step solutions and justify your answers. Solve the initial-value problem y" +y -…

A:

Q: QUESTION 1 A farmer with 890 feet of fencing wants to enclose a rectangular area and the divide it…

A:

Q: Verify Green's Theorem by evaluating both integrals v dx + x* dy = // aN ƏM dA ду əx for the given…

A:

Q: answer 29 and 30

A:

Q: Evaluate the following double integral a) Evaluate 8xy dxdy=? 1 b) Evaluate the following integral…

A: A)∫12∫038xy dx dy=∫12 8yx2203 dy=∫1236y dy=18y212=18(4-1)=54

Q: Write the center of the circle x 2 + y 2 - 6x + 10y - 2 = 0 (-3, 5) (3, -5) (6, -10)

A: Centre of circle

Q: Find a number whose difference from its square root is least

A: Explanation of the answer is as follows

Q: S Evaluate L-'{- | (s² + 144)(s – 8)

A: We have to evaluate  L-1ss2+144 s-8.   We know that L-1ss2+a2 = cosa·t L-11s2+a2 = 1a·sina·t L-11s-a…

Q: Solve using chain rule 1. y=(2x+1)(4x-3)^3 2. y=x √ 9-x^2

A:

Q: Given that y = 3e is a solution of the differential equation %3D y" + 3y' = 0. Then, by using…

A: Follow next step

Q: Evaluate the integral dx (6х + 5)? y making the appropriate substitution: u = dx (6x + 5)2 II

A: Given query is to find the integral.

Q: QUESTION 4 At noon, Ship-A is 210 miles east of Ship-B. Ship-B is sailing due east at rate of 30…

A:

Q: Evaluate (x – 17)dA where Ris the region in the first quadrant enclosed between y = x and y = x³. R…

A: Given curves y=x, y=x3 Now for point of intersection we put, x=x3 So, x(x2-1)=0 So, x=0,1 as x lies…

Q: (x² (а3 — 2)da 4x +

A:

Q: Evaluate the indefinite integral. Sa V1 – x? daæ - cos° 0 – cos' 0 +C } (1 – a²)%/2 – }(1 – 2²)/² +…

A:

Q: Express the integral as an equivalent integral in which the z-integration is performed first, the…

A: A detailed solution is given below.

Q: A small hula-hoop was rolled on the ground.  After rolling exactly 6 times, it went 37.7 feet.…

A:

Q: 1. For the shaded region shown, determine the following using vertical strip: 5 a. Area x= 2y - 3 4…

A: The given equations are: x=2y-3 and y=x-22-12. Fromx=2y-3, we get: y=x+32. Plug this into the other…

Q: 3. Using the graphs of the functions f and g below, determine the following. If infinite, specify ∞…

A:

Q: Find the exponential function y = Cekt that passes through the two given points. y = y (0, 7) 6- 5 4…

A: Given query is to find the function.

Q: Question 4 of 10 m(x) = sec²(e2r+1) %3D Select the correct response. o e2a+1 e2u+1 sec(e2+1)…

A: I am attaching image so that you understand each and every step.

Q: Find y' given xe*y – x sin- y = In(xy).

A:

Q: Consider the indefinite integral 26 dx: (x7 + 6)"

A:

Q: HimilFind the akeas fak the folfewing regions Area of theregion insidethe circle (r=1)and outside…

A:

Q: Use double integration to find the volume of the solid bounded by the cylinder x? + y? = 64 and the…

A:

Q: Using "Numerical Differentiation (Backward Finite Difference)" Problem Solving f(x) = 2cos (3x-2)…

A:

Q: Write the general equation for the circle that passes through the points: (0, 0) (6, 0) (0, - 8) You…

A:

Q: . Determine the Total Area bounded by f(x) = x´ – 1 on the interval [- 2,2].

A:

Q: d d Calculate r:(t) - r2(t)] and r:(t) x r2(t)] first by differentiating [r(t) × r2(t)] first by…

A:

Q: 4. If f(t) = 3 sin(4t + 0.12) – 2 cos(3t – 0.72) determine f'(t) when t 3 - %3D

A: Solving

Q: Let X be a random variable with mean u and variance o2, and suppose that its moment- generating…

A:

Q: V

A: Follow the procedure given below.

Q: Fin volume of the object formed by rotating f(x)=1/x about the x-axis on the domain 1<x<infinity.…

A: We have to find the volume of the object.

Q: Given the differential equation y'' – 4y' + 3y = 0, y(0) = 0, y'(0) - 2 Apply the Laplace Transform…

A: L yn = snY(s) -sn-1y(0) -sn-2y'(0) -...-sy(n-2)(0)-yn-1(0).

Q: Find the area, A, of the region enclosed by the cardioid r = 8+8 cos 0. (А) 96 я (В) 48 я с) 52 я…

A: The area enclosed by the cardioid r=8+8cos θ is given by: A=12∫02πr2dθ=12∫02π(8+8cos θ)2dθ…

Q: Solve the initial plem - 6v + 25y = 0. v(0) = 2.

A:

Q: In Exercises 4-6, solve the given initial-value problem. dy 6. dt 21 e2t, y(1) = 0

A:

Q: Question- Let R be the region bounded by x= y - 25, and x= 1. Then draw the region a evaluate the…

A:

Q: Find the total area of the region enclosed by y=x^2 and y=2x by integrating with respect to y. (A)…

A: To find the area of the region enclosed by the two curves.

Q: d d Calculate ri(t) · r2(t)] and [r1(t) × r2(t)] first by differentiating dt dt the product directly…

A: We have to find derivative

Q: Question 5 of 10 r(x) = cot2(3x² + 1) Select the correct response -6x2 csc(3.r2 + 1) cot (3.x + 1)…

A:

Q: One solution of the differential equation -y" + 7y - 12y = 0 is y = e3x. A second linearly…

A: Solution in step 2

Q: Find the general solution of the differential equation y" – 3y" + 2y' = 0.

A: