Find the approximate value for f(x, y) = sin(76xy+ In(y)) at (0.03, 1.04). Take T = 3. %3D (Yukardaki f(x,y) fonksiyonunun (0.03, 1.04) noktasındaki yaklaşık değerini hesaplayınız. T = 3 alınız.) Lütfen birini seçin: 0,22 0,16

Q: 1. Find y'. y = x² In(tan-1(2x))

A:

Q: If f(y) = siny-6 cos y, find f'(y). Use exact values. f'(y) =

A: fy=esiny-6cosy

Q: 13. Find y' for sin(xy²) + x² = y². %3D

A:

Q: SO f'(2x) dx. +6 Lºx xf"(x) dx.

A: The given integral expression is:∫04 f'(2x) dx

Q: y"" 1 x² ln x

A: As per our guideline, we are supposed to solve only one question. Kindly repost other question as…

Q: •3 fx(2-x) 10. dy dx 0. r2VIn 3 VIn 3 35. •VIn 3 et dx dy

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: find dy/dx.5. y = csc x - 4sqrt(x) + 7/e^x        6. y = x^2 cot x - 1/x^27. ƒ(x) = sin x tan x 8.…

A:

Q: The set is a basis for a subspace W. Use the Gram-Schmidt process to pro the vectors are in the…

A:

Q: second derivatives of f(x.y) = (x+y) e.

A:

Q: Find all possible functions with the given derivative. y' = 2x² - 6x 2 O A. 3x³ + C 2 O B. 3x³-3x² +…

A: Given,             y' = 2x2 - 6x

Q: 8. Find y'if y = x³ +sin (x)

A:

Q: The integrating factor (IF) of the equation y' - 2ycot2x O A. sin2x O B. cot2x O C. Lnsin2x…

A: Solution:  To find the integrating factor of the given differential equations

Q: 2. Let h'(2) = 8, h' (2) = 5, h(2) = 3, h″(4) = −—1,h'(4) 4 ª[₂x x.h"(x) dx. 3, h(4) 6. Find = =

A:

Q: Find the value of y’(2) and y”(2) from the following table : x 1.5 1.6 1.7…

A: We have to find the first and second derivative values from the given data.

Q: Ex6: Solve the following 1. If x? + y² = 25 show that (y')² + yy" + 1 = 0 2. If xy = sin x show that…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 1 6 7 3. m<4 = (x')° m<6= (3x)" 5n

A: Corresponding angles are the pairs of angles that are found in the same relative position on…

Q: Find the derivative of h(x) = O O a.) h'(x)= b.) c.) d.) ܝܕܝ h'(x) = h'(x) = h'(x)= 2 Waiting for…

A: Solve for the derivative

Q: Let y = sin (x + y), find y'.

A:

Q: Find if z = sin(uv)cos(uv), where u = e' and y = e2t. dt %D Lütfen birini seçin: O A. 3e(sin2(e3t) -…

A:

Q: If P(A or B) = 0.801, P(B') = 0.33 and P(A and B) = 0.20. Find i) P(B) ii) P(A)

A: Answer: Given that, P(A or B) = 0.801 P(B') = 0.33 P(A and B) = 0.20

Q: The first derivative of a continuous function y = f(x) is y' = (6x - 5x²) (3 − x)². Find y' and then…

A:

Q: Find the following antiderivatives. a. ∫(3x^4-cosx)dx b. ∫(5^3sqrt(x^2) + 2x-1)dx c.…

A: ∫xn dx = xn+1n+1+C. ∫ax dx = axloga+C

Q: y = cos(r) fonksiyonunun birinci mertebeden türevini z = noktasında h = olmakla 3-nokta aranokta…

A: Given function is fx=cosx. We have to evaluate the first derivative of fx=cosx at x=π2 and h=π4. The…

Q: e 9. cos(x) dx - " sin(x) dx. Evoluate

A: Formula:∫ cos x dx = sin x + C∫ sin x dx = - cos x + C

Q: Evaluate and simplify y'. x - 9x y= 7x+4

A: In order to minimise or maximise a quantity, derivative of that function is calculated and equated…

Q: Calculate y' given y below. (a) xey = y − 1. (b) y = (cos x)^x (c) y =(√sin^3(√2x))

A: a). Differentiate separately both sides of the equation (treat y as a function of…

Q: 15. sin x + cos y = sin x cos y

A:

Q: 3 5. y= 23x+1 %3D 2 3x+1

A: Given : y = 323x + 1

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.