Find the volume OF the solid obtained by rotating about the y- axis the region bounded by Y= x2 and between x =1 ANd x=3 ソニ×

Q: ans the space provided before each number. 1. What trigonometric ratio can we use to solve for the…

A: We have to solve above triangle problem

Q: In each part, evaluate the integral, given that SIx - 61, x 2 0 f(x) : x + 6, x < 0 ' %3D

A: The solution is given in the next steps.

Q: Change the following polar equations to rec 6. 12. r = 4-cose

A:

Q: 3. For each of the following functions z, find and дудх' дхду 3. z = tan-

A:

Q: S e6m sin m dm Integration by Parts

A:

Q: 6. The radius of a sphere is measured to be 7 cm, with a possible error of + (1/10) cm. Estimate the…

A: Volume of sphere   V=3π​r3/4 Percentage error in volume    ΔV​×100/V=3×Δr​×100/r =3*1*100/10*7= 4.3…

Q: (D - 2D + 4)y = 0 ; y= - 2, Dy = 8, D²y = 0, when x = 0.

A:

Q: 3. S: 7 dy у2-8y+5

A:

Q: I d (Cot x) (COS X dx sin X * Sin x (-sin x)-cos x (cos x) (Sinx) (sin*x + ças* x) Sinx + Cos x )…

A:

Q: dx Vx-4x-7 S- -dy y2-8y+5

A: The given integrals are' 1)1/sqrt(x2-4x-7)  2)7/(y2-8y+5).

Q: Q3. (a) Find the binomial expansion of (1 – x)-1 up to and including the term in x2.

A: We have to find binomial expansion.

Q: 3s 14 82-4s +8 - 3e cos 2t + 4e2" sin2t 3et cos 2t –4e2" sin2t - Option 1 O Option 2 4e2t cos 2t +…

A:

Q: answer

A:

Q: Problem #4: Find the slope of the line tangent to (х-3) + (y-2)² = 1 at (3,7). the conic section 36…

A:

Q: dx -4x-7

A:

Q: oint) Use the graph of f(x) shown below to find the following integrals.

A:

Q: 2. All edges of a cube are expanding at a rate of 6 centimeters per second. How fast is the surface…

A: We have to find changing the surface area

Q: A candy company makes two types of chocolate bars: milk and dark. The milk requires 9 minutes in a…

A:

Q: Use Runga-Kutta 4 to determine y(1.3) for f(r, y) = with y(1)%3D 1

A: Here we have to use Runga Kutta 4 method

Q: Use the Root Test to determine whether the series convergent or divergent. n2 + 1 9n2 + 8 n- 1

A:

Q: Use Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4x + 2y + z subject to r? + y…

A: Given

Q: B. For each of the following functions z, find az az a2z and дх? дудх" дхду ay2 1. z = 2x? – 5xy +…

A: We know that when we differentiate a function partially with respect to 'x' , other variables of…

Q: -2 2 dy 7e + 5. -5

A: To find out the definite integral.

Q: (3,2,4) m = i +j+k r2: А %3D (2,3,1) В %3D (4,4,1) r: A = (a) Create Vector and Parametric forms of…

A: Given problem:- r₁:  A = (3,2,4) m=i+j+k r2 : (2,3,1) B = (4,4,1)   (a) Create Vector and Parametric…

Q: 2. For the parametric equation shown below, determine the value of (dyldx) and (d²y/dx?). x = 3t? –…

A: To find dydx&amp; d2ydx2 using the given parametric equations.

Q: Evaluate the definite integral using integration by parts. Do not use any other met od You must show…

A: topic- integration by parts

Q: S 3p? tan p dp

A: To integrate.

Q: 2. Evaluate the integral / 2 (a³ + 3)/4 dx. 4 4 (a) 5(23 + 3)/4 + ( +3)5/4 + C 27 27 (b) 푸(고+3)%4…

A:

Q: Please

A:

Q: vertical asymptote z=0 S'(z) > 0 for z -3, (z # 0) f"(z) 0 for z > 0

A: Let's find.

Q: Question 1 Determine the inverse Laplace transforms of: 2s2-5s-1 (a) (s+3)(s²+9) (b) 352+5s+1 (d)…

A: Let's find.

Q: e problems y' + e = 0, y(0) = 1 %3D

A:

Q: An investment of $8,000 earns interest at an annual rate of 6.5% compounded continuously. Complete…

A:

Q: 6x? + Sx t 16 dx +2x +6 x + 3? a.Sinlat3l+; 4 Cが)返が)+c er none

A:

Q: Let 7(t) = Find a parametric equation of the line tangent to 7(t) at the point (22, 324, 13.54)…

A:

Q: Find all horizontal and vertical asymptotes (if any). (If an answer does not exist, enter DNE.) 10x3…

A:

Q: 1. Consider the lines x = -1+ 2s by:- = and t2: y=s x – 5 l1 : 3 – z %3D 4 z = 5+ s а. Find two unit…

A:

Q: dx 2. S Vx2-4x-7

A:

Q: dx J V1-4x2

A:

Q: Question 6 Use differentials to find the approximate value of y: (2x 1) when x = 0.98. O (E) None of…

A:

Q: Each side of an equilateral triangle measures 3cm, with a possible error of 0.1cm. Using…

A: The area of a quadrilateral triangle is: A=34x2 where x=side length =3 cm So, A=34(3)2=934cm2

Q: plz

A:

Q: A local diner must build a wheelchair ramp to provide handicap access to the restaurant. Building…

A: Given ,  A local diner must build a wheelchair ramp to provide handicap access to the restaurant.…

Q: Find the set of all values of x at which the line 3x-y+ k = 0 is a tangent line to the curve f(x)…

A:

Q: A particle moves along a horizontal line. Its position function is s(t) for tz 0. For each problem,…

A: Given: st=t3-t2-56t We know that  vt=dsdt; at=dvdt

Q: 4. Find the equation of the circle (in polar) with center on the line a = and passing through the…

A: The general equation of a circle with centre at r∘, θ∘ and radius, a is given by r cos θ-r∘ cos…

Q: 2) Eliminate the arbitrary enstant, 4 y= x*+ Cix + Cz e-X

A: Given problem:- Eliminate the arbitrary constants. of y= x² + C₁x + C₂ e-x

Q: dz f1-42-223)2 3 4[3-2(2+パ) a. In 3+ JE (z+1)/ J3-2(241=+C 3-4,(2+)? 3 b. 4[3-2(2+1=)] C-A(24)?…

A:

Q: B. Solve as indicated. 1. Find the geometric mean of 28 and 112. 2. Find the geometric mean of 7 and…

A: To find the geometric means for the given data. The formula for the geometric mean of x1,x2,...,xn…

Q: X=34-3 X=2-2y (-3,0) 12,07 y = 2X-4 -4 49-3

A: