2. Suppose z is a function of a and y and tan(V+ y) = e*. Determine dz dz and 2

Q: Let N1 (h) be the approximation of f'(xo) with some numerical differentiation scheme depending on h.…

A:

Q: 3s – 14 - s2 – 4s + 8 - 3e2t cos 2t + 4e" sin2t 3et cos 2t – 4eª sin2t Option 1 Option 2 4e" cos 2t…

A: Given: Fs=3s-14s2-4s+8   As we know that; The inverse Laplace transform identity. 1).…

Q: y = e* – axis. and the x - axis is revolved about the y

A:

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

A: We need to choose correct option.

Q: dx Vx²-4x-7

A: According to the company rule, we can answer the first question and rest can be reposted.

Q: 2x^ + xt3 dx x+ x a. In lxl+Ź In Cx t1)+ tan-"c) tc b. In \xl-Į m (x2+1)+ tan-' Cx) tc in e, wone

A: The integration of the integral is  (2x2+x+3)/(x3+x).

Q: 6s – 4 s2 – 4s + 20

A: 6s-4s2-4s+20=6s-4s2-4s+4+16=6s-12+8s-22+16=6(s-2)+8s-22+16=6·(s-2)s-22+(4)2+8·1s-22+16

Q: Solve the given initial-value problem y' + (tan.x)y = cos²x, y(0) = -1

A:

Q: answer

A:

Q: 1 dx, if possible. State whether the integral converges or diverges. 4

A:

Q: The following question is about the rational function (x + 1)(x - 2) rex) = (x + 2)(x – 6) The…

A:

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

A:

Q: A rectangular open box is to be made to hold a volume of 50 in3. The base of the box needs to have a…

A:

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

A:

Q: Find the general form of the equation of the plane containing the point Q(0, –2, 10) and the line l1…

A:

Q: _4. What is the area of the enclosed regions in problem number 3? A. 10 sq. units B. 12 sq. units C.…

A:

Q: lo-2 2 (12y-8x) dy da

A: Given: ∫05∫0z2∫010-2z12y-8xdydxdz

Q: The following question is about the rational function (x + 1)(x – 2) (x + 2)(x - 9) r(x) The…

A:

Q: 3 – z = y +1 = 2.

A:

Q: 12г3 — 9г? + 2 dr

A: LetI=∫1612x3-9x2+2dxApply the Sum RuleI=∫1612x3dx-∫169x2dx+∫162dxTake constant…

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: (t- 1)* 24 24 4 24 24 4 1 85 84 g5 84 82 O Option 1 O Option 2 24 24s 12s² + 4s3 + s4 12s2 + 4s3 + s…

A:

Q: 11. A spherical balloon is inflated so that its radius (r) increases at a rate of (2/r) cm/sec. How…

A:

Q: 2. Consider the function 2r2-9r-18 f(r) r2-r-2 (a) Sketch the curve y f(r). (b) Find the area of the…

A: Let's find.

Q: Assume that the radius r of a sphere is expanding at a rate of 90 cm/min. The volume of a sphere is…

A:

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

A:

Q: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a…

A:

Q: Integrate 1 x + 1 dx x + 1 2

A:

Q: Question 8 Let y = tan find the differential dy of the function. O dy = e* (x² – 1) sec² \ e*"-1 dæ…

A: As we know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x And ddxtanx=sec2xddxex=ex…

Q: 4. Consider the curve with equation y = x* as shown in the diagram. A tangent line meets the curve…

A:

Q: Find the area of the plane region bounded by the given curves: y= x^3, y= x + 6, and 2y+2 = 0

A: Explanation of the answer is as follows

Q: x2 - x 1+ 3x? – 2x3

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: The total sales of S (in thousands of DVD's) of a certain movie are given by the following formula…

A:

Q: ne differe htial equation 25+ソ-3)dy = ($424-3}dy

A:

Q: LEARNING TASK 1: Determine the antiderivatives of the following functions: 1. f(x) = (x+1) 100

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

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: 5. S , dz dy dx 2 c3

A:

Q: dx 8. Evaluate the integral / zlnrV(In x)² – 8 x In a V(In a)2 – 8 |

A:

Q: the

A: We have to choose the correct option from the given options according to the given information

Q: I. Evaluate the following integrals. 3.x5 dx V2 – x3 1. - 2* + e2" sin(2") dx sin(2") 2. 2x + 3 dx…

A:

Q: - «) lim (2 – ez x→0

A:

Q: Consider the lines x = -1+ 2s l2 : y = s z = 5+ s л — 5 3 - z l1 : 2 and I. Find two unit vectors…

A: Given

Q: 2 sinh x Calculate the integral, J dx. 5+ 6 cosh x

A: Given :∫2sinhx5+6coshxdx

Q: Compute the area enclosed by the curves. You must show your work. Express your answer as a fraction.…

A: In this question we have to find the area enclosed by the curves.

Q: y" + y= tanx

A:

Q: Determine if the following function is periodic. If it is periodic find the fundamental period, p.…

A: period

Q: "Definite Integrals" 1. sin | COS dr -

A:

Q: Acos'e -3=-4cos0

A:

Q: II. A particle is moving along a line with velocity given by the function v(t) = t-…

A: We have to find the position function of the particle at any time t.

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,…

A: We need to evaluate :