Find the slope of the tangent line to the curve x=t+ 1, y=2t² + t -1 at t= 1.

Q: (x + 2y - 3)dx + (2x + 4y - 9)dy = 0

A:

Q: 24. Let W be the amount of water, in gallons, in a bathtub at time t, in minutes. At t = 0 water…

A: Given, W = Amount of water ( in gallons)   t = time (in minutes) Water is full at time to. Plug is…

Q: If (2,-5) is a point on the graph of f(x), which of the following points MUST be on the graph of…

A: Given that point (2,-5) is a point on the graph of f(x).

Q: ES N -2 4-x² 4-y -20 0 X dzdydx

A:

Q: sin(2x) x y = if x = л, dx = 0.25 find the differential. Round your answer to three decimal places.

A:

Q: Find the area enclosed by  x=2cos(t) + cos(2t), y=2sin(t) - sin(2t) 0<t<2

A:

Q: Let an = n/(n + 1) and L = 1. Given a tolerance of 0.01, find an integer N such that TL 20.01 for…

A: Please see the below picture for detailed solution.

Q: 12. Which of the following is a point at which the tangent to y=-xe* is horizontal? Show your work.…

A:

Q: U. Solve the given equation 1) sec x(2 sin x-√2)=0 T Answer: x==+2nk, 4 TT ak 3π x== +2 4

A: Given query is to find the solution of the expression.

Q: 3 7. Given that sec x = =, 270 < x < 360° find 2 (a) sin(2x) Answer: - 4√5 9

A:

Q: (4) Compute the following: I7 (a d da na" = I7a6 Jn:2x-1 haban toy (b) d dx P [etan z] tanx ₁₁)] (x²…

A: according to bartleby guide line we do only first part ofmultilly 4(a)      d dx(lnx7(x2-x+3)11we…

Q: II. Solve the following differential equation. (i). y' = 1 + 3y tanx Ans. 3y cos³x = c + 3sinx -…

A: Given differential equation y' = 1 + 3ytanx

Q: Solve the equation dy 2y² – x² 3ry

A: GIVEN equation in this question dydx=(2y2-x2)(3xy)   SOLUTION- as we can see dydxis a homogeneous…

Q: 7. Which of the following is the Laplace transform of S In (²-¹) A. E. 1 s(s+1) B. In None of the…

A:

Q: Find the length of the loop of the given curve. x = 6t - 2t³, y = 6t²

A:

Q: If f(2)= 5 and f'(x) ≥ 3 for 2 ≤ x ≤ 6, how small can f(6) possibly be? f(6) ≥ Need Help? Read It…

A:

Q: Determine the exact value of the following expression. tan 137) 8

A:

Q: Which of the following may be solved by an immediate application of L'Hôpital's Rule?

A:

Q: es for the point (4, IN

A: given (r,θ)=(4,2π3)formula for other coordinates is  (r,θ+2nπ) or  (-r,θ+(2n+1)π)

Q: or the system of differential equations do the following. p' = p(1-p-q), q' =q(2 3p-q), p, q≥ 0 of…

A:

Q: 71. Find the absolute maxima and minima of the following functions on the given inter G (a) f(x) =…

A: Since you have posted multiple questions i can do first question 71 as per our company guidelines…

Q: Jse basic geometry to find §₂² (5 − x) dx. For this problem, do not use Riemann sums or the

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: ble answers No Answers Chosen The range is all real numbers. ous The equation of the asymptote is x=…

A: We will find the required.

Q: A particle that started at the origin and is moving along the x-axis has a velocity function given…

A: We need to find out the position of the particle after 39 seconds.

Q: Locate the absolute extrema of the function f(x) = cos(on the closed interval [0, 1] absolute max:…

A: Solve the following

Q: a) which of the following is the graph. of y = X² ex # B) 2 of 44 c)

A: Shown below...

Q: Use the Divergence Theorem to evaluate J where S is the sphere x² + y² + z² = 1. (11x + 9y + z²) dS

A:

Q: For the function f(x) = 2x³-18x²+4: (a) Find the critical numbers of f(if any); (b) Find the open…

A:

Q: Question 3 of 12, Step 2 of 2 Consider the function: f(x)=(x²-4)² Step 2 of 2: Use the Second…

A: Please see the below picture for detailed solution.

Q: 1+ csc x cos x + cotx

A: Given query is to simplify the expression.

Q: _f(x) = 2 X 1 - 2x

A: To solve the following problem

Q: A force of 6 pounds is required to hold a spring stretched 0.6 feet beyond its natural length. How…

A: Given that, Force required = 6 pounds to hold spring streched 0.6 feet beyond its natural length. To…

Q: Question 4 moriro 4. Simplify the following. Show all details and leave your answer with only one…

A:

Q: Suppose u and v are functions of x that are differentiable at x=0 and that u(0) = - 4, u'(0) = - 6,…

A:

Q: 0 TO Lim X-O Lim X-2 CSC X -2 x-a (ex-1) e(x2-4) X-2

A:

Q: Use left endpoints and 10 rectangles to find the approximation of the area of the reg Round your…

A:

Q: 5) Find the divergence of (√x² + y² + z 5) ki vj + zk)

A:

Q: Determine the general solution of the DE y (4) + 3y – 4y = Ⓒy=c₁e*cosx+c₂e y=ce*cosx+c,e=*sinx -X -X…

A: given   y(4)+3y''-4yput  d=d dx(d4+3d2-4)y=0for auxilary reuation put d=m and y=1

Q: Find d²y 2 dx 3 y = ³√x

A: Given,            y=x3To find : Find d2ydx2

Q: *√3+41² dt, find the derivative of h(x). J2x

A: Given query is to find the derivative.

Q: 3) Find curl (xyi + yzj + zxk)

A:

Q: The difference equation for the growth of circular colonies of bacteria is Nt+1 = Nt+ RK√N. This…

A: Explained below

Q: Find a particular solution for y"-4y'-12y=x using the Method of Undetermined coefficients. hello pls…

A:

Q: Consider the function f(x, t) = x³e-, where c is a constant. Find the indicated partial derivatives,…

A:

Q: answers

A: We have to find the equation of the tangent line according to the given information

Q: remains positive. It is modeled by the function e-t. alue of in the long run.

A:

Q: The graph off is shown below. For which values of x is f'(x) zero? -6 -4 2 15 10 5 -5 -10 15 2

A:

Q: Determine the general solution of the non-homogeneous differential equation y + y = sinx.

A:

Q: Suppose that a rectangular box has a volume of 18 cubic meters and is being expanded in such a way…

A: Given: A rectangular box has a volume of 18 m3 and is being expanded in such a way that its length…

Q: Find the length of the curve x = t³, 312 y = ²2² ²²₁ 0 ≤ t ≤ √3 t²,

A: