If f(x) = 4 cos(2 ln(x)), find ƒ'(x). Find f'(5) rounded to 3 decimal places.

Q: 16 x0.67.dx

A: Formula  ∫xndx=xn+1n+1+c

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: For an arithmetic sequence, 017 = 47. If the common difference is 5, find: a1 = the sum of the first…

A:

Q: Shared with me > 2011- Files Find the Wronskian of two the functions y₁ = cos41_g(t) = e' cos(t).…

A:

Q: For an arithmetic sequence, a17 a1 = the sum of the first 65 terms= > Next Question - 47. If the…

A: It is given that, a17=47 and common difference(d)=5 a1=? Sum of the first 65 terms=?

Q: Express the following function in terms of unit step function and hence find their Laplace…

A:

Q: The circumference of a sphere was measured to be 76 cm with a possible error of 0.5 cm. Use linear…

A:

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

A:

Q: Set up a double integral that gives the area of the surface of the graph region R. ƒ (x, y) = xª –…

A: Topic:- application of derivatives and integration

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = (et-e-t)² L{f(t)}

A:

Q: Find the general solution of the given differential equation. dy 2 +6y=3 dx x(x) = 2 Give the…

A: To find the general solution of the given differential equation.2dydx+6y=3To give the largest…

Q: Use the Laplace transform to solve the given initial-value problem. y(t) = y"" + 2y" - y' - 2y =…

A: Solution is given below:

Q: Given f''(x)= Find f ƒ(7) = = 1 25 sin(5x) and f'(0) = 5 and f(0) = -6.

A:

Q: Use graphs to evaluate 2π S 2r S 0 sin x dx = cos x dx = 2t S 0 2π sin x dx and cos x dx. 0

A: We will find the required.

Q: 4. Choose a solution to the differential equation y" + 3y' + 2y = sin eº. -2x -2x cos €² e + e е -2…

A:

Q: Use Definition 7.1.1. Definition 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

A: Break the limits according to f(t)

Q: Classify the given differential equation according to its type, order, degree, and linearity. d²y…

A:

Q: Use the Laplace transform to solve the given initial-value problem. y(t) = 2y+3y" - 3y - 2y = et,…

A:

Q: What is the gradient of f(x, y) = x² - y4 at the point (5, 2)? O 5i + 16j O -15i-16j O -6i + 13j O…

A:

Q: A company manufactures mountain bikes. The research department produced the marginal cost function X…

A:

Q: hot (1603).png the given initial hot (1597).png Determine (without solving th Find the solution of…

A: Here we have to solve the differential equation.

Q: 9 Given f(x): = =, find f'(x) using the limit definition of the derivative. x f'(x)=

A: The given function is fx=9x

Q: 5. The graph shown here is the graph of g'(t). area = 2 area = 2 PUA 5 We know that g(0)=5. Use this…

A:

Q: لما D the double integral of f(x, y) over D is f(x, y)dxdy = ubmit Question

A:

Q: 4 5 2 X -x.dx

A:

Q: 31 Given: f(t) = -213/2+4e² Evaluate: F(2) Use 2 decimal places.

A:

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

A:

Q: Solve the initial value problem. ds dt I cost- sint, s = 3 2

A: To solve the initial value problem.

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: Ľv 3x² - 2x + 3. (3x - 1). dx O -4.87 -3.92 -2.22 O -1.67

A:

Q: handwritten

A: Please refer to the image below

Q: Find r(t) if r'(t) = 6t³¡ + 7tºj + √tk and r(1) = i + j.

A:

Q: If u = X + y+z a) 0 y 2+x ди + then the value of x x+y x b) 1 c) u d) None ax +y + ay +2 ди əz IS:

A: Question - 21 Given, u=xy+z+yz+x+zx+y To find, x∂u∂x+y∂u∂y+z∂u∂z Formulas used:…

Q: r = graph (8-2) i+ 10tj O It is a line in 2-space through the point (-2, 10) and parallel to the…

A:

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: The given function is: fx=x9-9x  Analyze and sketch a graph of the function. Find any intercept,…

Q: 1 For r(t) = − i − j + m(1) k - j + ln(t)k and u(t) = t²i − 2tj + k. t d Find [r(1) · u(1)] ²3 +…

A:

Q: Find the value of the constant k so that the differential equation (e-9 + cos x + kxy)y' = y(y + sin…

A: Using the fact that an exact differential if dM/dy=dN/dx

Q: Given [*₂h(t)dt = -5 h(t)dt = 22 and evaluate the following integral. ["h(t)dt = | [h(t)}dt h(t)dt =…

A:

Q: Given tha

A: Given :  g(x)=2x+10x≤-3x2-5x>-3   for the function to be continuous

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = (et-e-tj² L{f(t)}…

A:

Q: Find a power series for the function, centered at c. 8 5-x £( n = 0 f(x) = C = 1 Determine the…

A:

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

A:

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: Here, the given function is: f(x)=y=x9-9x

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

A:

Q: Find f"(x) if f (x)=√√5 - 4x. Show work:

A:

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

A:

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

A: Given,           ℒ-11s2+1s2+25

Q: = Let f be a function defined for t≥ 0. Then the integral L{f(t)} . - fotº e- 0 provided that the…

A:

Q: Match the vector field with its graph. F(x, y) = xi + 3yj mammon M T Pinnal bandill SEREN C -9 in C…

A:

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

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