e*+e¯& =x² –2 lim sin² x–x² x→0

Q: 4.(Straightforward) Determine if each of these differential equations is exact, and if so, solve it.…

A: To tell which of them are exact differential equation.

Q: (x² + 8y²)dx – 6xydy = 0

A:

Q: Find the slope of the tangent line to the polar rer = 1/0 at 0 = T.

A:

Q: 2. Y' = csc - y cot x ans. y sin x = x + C %3D

A: We know that; The standard form of the linear differential equation of first order is: dydx+Py=Q ;…

Q: complete and detailed solution using techniques of variation

A: Given,            ∫dy1+y+13

Q: Use scratch paper to complete the table below, and estimate the value of the lim,o+ f(x) where f(x)…

A:

Q: dx + (x — у + 4)?dy %3D 0 ||

A:

Q: In each part, use a scalar triple product to determine whether the vectors lie in the same plane.…

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

Q: Question 1 -x2 1 4a?t prove that VE If v = dv ôt

A:

Q: Evaluate the following integral: (tan(t) sec(t) i – te³'j) dt

A: The objective of the question is evaluate the indefinite integral.

Q: csce cot e1- 5 cot 6 de

A:

Q: The complex conjugate z is denoted as z̄. Solve for z in the equation:…

A:

Q: Find the gradient of the function at the given point. f(x, y) = 2x + 4y2 + 1, (1, 5) Vf(1, 5) =

A: Let's find.

Q: Find the volume of the solid under the plane 9x + 3y – z = 0 and above the region bounded by y = x…

A:

Q: A plane flies at a speed 560 km/hr at a constant height of 15 km. How rapidly is the angle of…

A:

Q: ind the distance between the point and the plane. (Round your answer to three decimal places.) (5,…

A: We have to find the distance of the plane

Q: 4x+1 b. g(x) 9x-2

A:

Q: Determine whether the planes are parallel, orthogonal, or neither. Зх — 15у - 32 5 2х - 10y - 22 -…

A:

Q: For a given function f, what does f' represent? Choose the correct answer below. A. f' is the…

A:

Q: Imagine that the number line shown below is balanced on a fulcrum at the point x = 0. Two points are…

A: Here, given weight are W1=250, W2=400,W3=2133.33 Here, d1=4, d2=5.5 are the respective distances of…

Q: A particle travels along the x-axis such that its velocity is given by v(t) = t0:2 + 2 sin (t + 4).…

A:

Q: Find minima, bmakima and Sndtle points for the funetions fxy)=4x xy+ 5y - 2. x +2by 6x2-2x3+3y+6xy 2…

A:

Q: Suppose a police officer is 1/2 mile south of an intersection, driving north towards the…

A: We have to find other car speed

Q: 00 Expand the function in a power series a,x" with center c 0. Find a,x". 8+7x

A:

Q: 1)Given that : f ( x ) = x3+9 x2/2 +6x-3 Find the critical numbers. b)Find the interval(s) where…

A:

Q: In each part, use a scalar triple product to determine whether the vectors lie in the same plane.…

A: This question is related to vectors, we will solve it solve it using given information.

Q: Find all values of c such that f is continuous on (-, ). 9-, f(x)3= C = (smaller value) (larger…

A:

Q: 2 2 X = 1+t2 y=r(1+t?)

A: To find second derivative of given function.

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

A:

Q: Let the cost function be C(x)= x2 / 8 + 4x + 200 and the unit is sold at price of p = 49 - x dollars…

A:

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A:

Q: (Easy) For the following differential equations, state the independent and dependent variables, and…

A: Here we have to find the dependent and independent variable order and the degree of given…

Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLIFIED FORM 1. y = Arcsin(- Vx²+4

A:

Q: 1. Integrating Factors Found by Inspection: y(x + y'exy)dx + x(y'exy - x)dy + = 0 when y(0)

A: y(x+y3 exy)dx + x(y3exy-x)dy=0xy dx -x2 dy +y3[x exydy+yexydx]=0xy3ydx-xdy+[x exydy+yexydx] =0xyy dx…

Q: Haw.L Find minima, maxima and Saddte paints for the functionss foxy) -9x -4 xy १ Cx,५) = 2 L» x + L9…

A:

Q: a) y=(x+2)/x^2 - 1) b) y= ((x^2 - 1)(x+2))/ x-3 find the x and y intercept, symmetry,…

A: Given :a) y=(x+2)(x2-1) b) y=(x2-1)(x+2)(x-3)To find : The x and y intercept, symmetry,…

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 300…

A: Given problem:- A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder…

Q: Express the integral in terms of the variable u, but do not evaluate it. 12x-11 dx; u = 12x – 11…

A:

Q: If the multiplicity root m = 2 which wil converge faster newtons method or biscection method? Give…

A: The multiplicity of the root is 2.  Hence, the curve will either remain on the one side of the…

Q: t2 y = t 5. x = t-1 t2-1

A: second derivative

Q: Consider the following function: f(x) = (x − 3)(x + 1)2. (a) Can Rolle’s theorem be applied to f on…

A:

Q: sinx Cosxdx

A:

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

A:

Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A: Given: y=x+6, y=x, y=0   From the given curve and lines the bounded region is as shown below; Now…

Q: Astivity 3 tind the dertve of 2メー3 う×ース enuing the definitiom -

A:

Q: S2(x* +1)e** dx . -5x t³ -9 -dt . 2t +3

A:

Q: 1 for convergence, you can use the P-test. (You could also use the To test the series k3 k=1…

A:

Q: Evaluate the following IMPROPER INTEGRALS, It is optional to double check your answers/solution for…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

A:

Q: Use Newton's method to find the two real solutions of the equation x* - 2x° – x - 3

A: Solving Newton method