cx+ln x Determine the equation of the tangent line to the graph of f(x) = [" = cosh (√2t - 1) dt at x = 1.

Q: 10. The current to a projection lamp is measured at 4.7 A when the line voltage is 115.45 V. find…

A: 10)  P=VI P=115.45*4.7 P=542.615 watt(w)

Q: 1. x + y + xy = 21

A: We will use simple differentiation rules to solve this question.

Q: Question 3 Iff is continuous on [a,b], then T True F False b then f(x)dx = f(x)dx T a

A: Here it is given that f is continuous on [a,b] From the integration we can take the constant value…

Q: Question 1 A body cools from 75°C to 70°C in 2 minutes. What will additional time (in minutes) it…

A:

Q: Numerical Integration: 5 (2x² – 3x) dx 2. 2

A:

Q: Evaluate the double integral [[ cos(x + y) dA, where R is the region bounded by the lines y = r and…

A:

Q: Integrate the following using Partial Fractions. x dx 1. S x2-3x-4 dr (x²-4)² 2. S

A:

Q: A stone dropped in a pond sends out a circular ripple whose radius increases at a constant rate of 2…

A:

Q: Given [ f(x) dx = 0 and 11 0 11 6 55 6 rwax = 11 6 " evaluate S злах-п -1 2f(x)dx

A: Given,∫-11f(x)dx=0,∫01f(x)dx=116,To find ∫013f(x)dx-∫-102f(x)dx

Q: d²y dy Consider the differential equation +9y = 9x + 3. dx² dx (a) Find the general solution. (b)…

A:

Q: 1. Find the area of the region that lies inside the cardioid r = 1+ sin and outside the circle r =…

A: We need to find area.

Q: 9. What is the general solution for the differential equation y"" - 3y' - 2y = 3x? A. y C₁x +…

A:

Q: IV. INDETERMINATE FORMS Show if the following limits produce an indeterminate form. Then, evaluate…

A: The objective is to evaluate the limit.

Q: HOMOGENOUS LINEAR DIFFERENTIAL EQUATIONS. (D3 + 2D2 – 5D – 6)y =

A: Topic:- differential equations

Q: If ye cos x 8 lnx, find f'(x).

A:

Q: SOLVE THE FOLLOWING PROBLEMS SHOWING EVERY DETAIL. ENCLOSE FINAL ANSWERS. dx xy+3x-y-3 1. Find the…

A:

Q: Find ?хду of z = x3 + 5x² y + 6

A:

Q: (a) Find the point of intersection of the tangent lines to the curve r(t) = (2 sin(at), 3 sin(at), 5…

A: We have to find equation of tangent.

Q: 1. Let G be the solid in the first octant bounded below by the surface z = y + x² and bounded above…

A:

Q: The function is x z = y² What is 8²% dy² 2/21/23

A: Let's find second partial derivative of given function.

Q: Question 5 Which of the following is not true? A None of the given choices ℗ √ ² in(x²) dx = I'm √…

A: The objective is to find which option is not true.

Q: S. S. (x + 2y)dydx = 10, Jo a

A:

Q: A lumbering battle tank's treads applied wildly varying forces in order to propel it to move…

A: We know that,  Work = force * displacement    W = F * x  = 10x(1-e-0.03x2+0.2cosx)

Q: Find the values of p for which each integral converges. 2 80 dx dx b. x(In x)P x(In x)P GELEH 2 dx…

A:

Q: Find the area bounded by : f (x)=e*, g(x)=e* and x=3. (A (e²-1)² e² sq. units B (e²+ 1)² e² sq.…

A:

Q: the equation of the tangent line to the curve y = 4 sin x at the point equation of this tangent line…

A: We are asked to find the tangent line of the curve.

Q: What is the annihilator for y=x e*cos 2x ?

A: Our Aim is to compute the annihilator for y=x ex cos 2x -(i)

Q: Solve the integral: Seln(2x² + 3x −4)³ (4x + 3)dx eln(2x² + 3x-4)³ (4x+3) 3(2x²+3x-4) A + C…

A:

Q: Which of the following methods can be applied to find a particular solution yp of y" +y = cos(ex)?…

A:

Q: Iff and g are continuous on [a,b] and f(x) ≥ g(x) for all x € [a,b] th then A True B False [ f(x)dxz…

A:

Q: For questions no. 4 and 5. Given: Radium decomposed at a rate proportional to the quality of radium…

A:

Q: Find L-1 ((₁+1)² (s+1)(s²-1)/

A:

Q: ƒ (x, y) = ln (√√x²y³) f

A:

Q: The length of a rectangle is given by 4t - 3 and its height is √27, where t is time in seconds and…

A:

Q: 6. lim x->0 (1+x)¹/5 (1+x)¹/3 - (1-x)¹/5 - (1-x)¹/3 (Ans:/)

A:

Q: (y² + 7xy + 16x²) dx + x²dy = 0 choices: In x + ( ₂₁ ₁²₁ ₁x) = C с 4x 1 In x + (y₂ + 4x) = с In x (y…

A:

Q: The length of a rectangle is given by 4t - 3 and its height is √2t, where t is time in seconds and…

A:

Q: Find L(te²t sin 3t)

A: Ltsin3t=2(3)s(s2+32)2               Ltsinat=2as(s2+a2)2               =6s(s2+9)2 Now,…

Q: A colony of the bacteria B. dendroides is growing in a petri di area A (in square centimeters) can…

A: Here we have A colony of the bacteria B. dendroides is growing in a petri dish. The colony's area A…

Q: L(sin 2t cos 2t) Your answer

A:

Q: Q9. The Laplace transform of the function u: [0, ∞o) → R (t−2)² + (t− 2) sin(5(t-2)), u(t): can be…

A:

Q: H.W // find the integral _1=√15 e-x³².dx. using 7. dx. using two and three points of Gaussian -1.5…

A: In numerical analysis, the Gaussian Quadrature method approximates the definite integral of a…

Q: cot3x Lim x-o cotx 0

A: Let's find limit of given function.

Q: What is the equation of the line tangent to the function y = 2³+7x² + 5x - 2 at x = 0? There can be…

A: Application of differentiation

Q: 2. lim x sin(1/x) X18 ex+2x 3. lim X18 ex

A:

Q: Let L(z) be the linearization of f(x) = sin x + 1 at the point x = . Find L(1/2). O -1 pi/2-1…

A:

Q: SHOW COMPLETE SOLUTION (NO SHORTCUTS PLEASE) !!! dx xy+3x-y-3 Find the general solution of dy…

A:

Q: Compute the Fourier cosine series for the given function f. a) f(x) = π - x, 0<x<T

A:

Q: Solve the integral: √√ 3√x dx x²

A:

Q: C) (-∞,1]

A: