4 5 2 X -x.dx

Q: please write on the paper. I dont know how to write it. Thank you

A: Given function:- f(t) =(e2t -e-2t)2

Q: st, enter DNE.) f(x, y) = x² + y² + 4x 10y6 minimum maximum point (x, y, z) = (x, y, z) = (x, y, z)…

A:

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A:

Q: Let y = sin(5x). If Ax = 0.4 at x = 0, use linear approximation to estimate Ay Δy ~ Find the…

A: Given: y=sin(5x) ∆x=0.4  at x=0   Solution: y=sin(5x) For the function y=f(x),   ∆y=f(x+∆x)-f(x)…

Q: Evaluate the line integral C:y² = 30x from (30,30) to (0,0). NOTE: Enter the exact answer. [-ydr +…

A: line integral

Q: Find the general solution of the given higher-order differential equation. y"" - 7y" + 8y' + 16y = 0…

A: Given the following differential equation:

Q: Find the limit lim x →∞ √1+ 2x + 9x² -2x + 5

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

Q: Find the function M(x, y) such that M (x, 0) = eª and the differential equation M(x, y) dx + (sin x…

A:

Q: 7). but you have not said if the diverges test applies or not . please xeplain the final solution ?

A: This question can be solved using the concept of divergence test.

Q: and the first partial derivatives with respect to x, y, anc 5xz x + y W W W || II || W =

A: Topic:- application of derivatives

Q: Your answer is correct. Find a differential equation whose general solution is = = C₁e⁹t + c₂e-³t.

A:

Q: Calculate the indicated Riemann sum Sn​, for the function ​f(x)=x2−9x−4. Partition [1,7] into six…

A:

Q: Evaluate the line integral along the curve C. (3x² + y²) dx + 2xydy, C: x = cos f, y = sin 1, 0≤1≤ 2…

A: Given integral is ∫C3x2+y2dx+2xydy , where curve C:x=cos(t), y=sin(t), 0≤t≤π2 We need to find the…

Q: 4. an = 6n 5. a = 6. 2n+2 a = (-2)n-2n

A:

Q: Find div F and curl F if F(x, y, z) = xz¹i+ 4ya²j+6z²yk. div F= curl F=

A: Vector

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Our Aim is to find the inverse Laplace Transform of the following function given…

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A:

Q: Find the value of (2) for a solution (x) to the initial value problem: y" + 4y + 4y = 2x + 6; y(0) =…

A:

Q: Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate…

A: here the given differential equation  (6 -20y +e-5x)dx -4dy = 0 this can be written as  dy/dx +(5)y…

Q: Find the value (2) for a solution (2) to the initial value problem: y(lnx In y 1)dx + xdy=0; y(1) =…

A:

Q: TE: Use c for the constant of integration. 3 t²54 t + 486 + 9y' +y = 3t² C es utions converge to the…

A: Topic:- differential equations

Q: Consider the following. W = xyz, X = S + 2t, y =s - 2t, z = st² (a) Find aw/as and aw/at by using…

A:

Q: KS Profiles Tab Window Help 6 Integrals Involving Exponer X +…

A: The given integral is xe-x^2.

Q: Consider the following initial-value problem. y' - y = 2 cos(7t), y(0) = 0 Find L{f(t)} for f(t) = 2…

A: Given the initial-value problem is y' - y = 2 cos7t,  y0 = 0

Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then the integral Lif(t)}…

A:

Q: A tank contains 400 liters of brine. Twelve (12) liters of brine, each containing 2.50 N of…

A: Given: 400 litres of brine are kept in a tank. The tank receives 12 litres of brine each minute,…

Q: Use linear approximation, i.e. the tangent line, to approximate Let f(x) = x. The equation of the…

A:

Q: Find the average value of on the interval [1,12]. favg Now, find e such that ln(c) = favg. = 2.61 C…

A: Given the query is to find the average value of the function.

Q: 12. Find an equation of the line tangent to the curve at the point corresponding to the given value…

A:

Q: Can you present the solution in a different format. I do not understand what the solution is…

A: Let's solve given diffrential integration.

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly.…

A:

Q: 1 1 0.104 = x Use linear approximation, i.e. the tangent line, to approximate as follows: Let f(x) =…

A: Solution : Given that

Q: function f is given, and the indicated transformations are applied to its graph (in the given…

A: Given the query is to find the equation of the the function after transformation.

Q: Find the solution of the given initial value problem: y(t) = = y""+y' = sec(t), y(0) = 9, y′(0) = 3,…

A: To find the solution of the given initial value problem.y'''+y'=sect, y0=9, y'0=3, y''0=-2

Q: x²+xy 20. If f(x, y) = x-y -, (x, y) = (0,0) 0, (x, y) = (0,0) Then the value of fx (0,0) is a) 0 b)…

A:

Q: Find the general solution to the linear differential equation: y" - y' - 2y = 0 O y = C₁e²x + С₂е¯x…

A: Given that a linear differential equation y''-y'-2y=0. We need to find the solution of this linear…

Q: Liv F and curl F if F(x, y, z) = xºi - 2j+yzk. F= F=

A: Topic:- application of derivatives

Q: y' = 4+t-y, y(0) = 1 (a) Find approximate values of the solution of the given initial value problem…

A:

Q: Find the domain of the vector-valued function. r(t) = n(t) 0 (-∞, +∞0) O (1, + ∞ ) O (0, +∞ ) O [1,…

A: Find the domain for all three components and then take intersection of those.

Q: Differentiate from first principle y = 5x²³² +22² +32 +4

A:

Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

A: The solution is given below

Q: ad curl F if F(x, y, z) = xz7i+ 5y¹¹x²j + 6z²yk. d with CamScanner

A:

Q: 36-2 dzdx dy Rewrite the integral using the order dzdydx. (6x +36-1- 076 36-y 18 18 10 ² dzdydx dzdy…

A:

Q: Find div F if F(x, y, z) = (x² + y)i + z²j + (eY - z) k.

A: Our Aim is to find the value of div F if F(x,y,z)=x2+y i +z2 j+ey-zk -(i)Let  F(x,y,z)=x2+y i +z2…

Q: Use Green's Theorem to evaluate the line integral Ico (y - x)dx + (2x - y)dy for the given path. 3π…

A: Solution is given below:

Q: Find a vector function, r(t), that represents the curve of intersection of the two surfaces. the…

A:

Q: Question Given F(x) below, find F'(x). Provide your answer below: F'(x) = F(x) = ™* In (6t – 3) dt

A:

Q: ANSWERS Newton's law of cooling states that the temperature of an object changes at a rate…

A: We will find the required solution.

Q: appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace 1 { (s² + 1)(s² + 25).

A:

Q: Which is the center and radius of the circle given by the equation, x² + y² - 6x 10y + 11 = 0?

A: The answer as follows: