2. Find the 2nd derivative of sin (x²-1) y *2cos(x^2-1) 4x^2 tan(x^2-1) 2cos(x^2-1) + 4x^2 sin(x^2-1) 2cos(x^2-1) 4x^2 sin(x^2-1).

Q: Solve below given differential eqn (x3+ уз) dy xe²4.de

A: We need to solve the differential equation.

Q: 1. Find the limit. lim X-5 lim x-5 2 √x +11 -6 x-5 2 √√x+11 -6 X-5 =

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Q: Question 2 Determine the values of a for which the following system of linear equations has no…

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Q: present

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A: Here we can create the required polynomial function in the below steps.

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Q: Question 29 If O O (OM dy O O j A. 5 - ly -5 ƏN ON) 1/2 = -5/201 əx y then what is the integrating…

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Q: Problem 1. Is the following true or false? Justify your choice. 4x (x − 1)(x + 3)' Bx + C x + 3 To…

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Q: 13. Suppose that lim f(x) = 13 and lim g(x) = -7. Find the following limits. X-4 X-4 a. lim…

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Q: Solve the initial value problem y' ○ In (y) + In (1+x²) = ln (2) ○ In (y) = In (1+x²) + ln (2)…

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Q: The integrating factor (IF) of the equation y' - 2ycot2x A. sin2x B. cot2x C. Lnsin2x D.csc2x None…

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Q: Find the derivative 1. y - 12 2. y = 8x³5x² of each function defined as follows. sredin 8² +1x + 5 -…

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Q: A central angle in a circle of radius 8 is subtended by an arc oflength 10pai. Find the angle’s…

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A: Given, dy/dt = 5t4-3et+2 And conditions y= 1  and t=-2

Q: 6. Use the function and the accompanying fig following questions. a. Is f defined at x = 2? O No O…

A: Given query is to read the graph and check about the behaviour of the function on x = 2.

Q: If f(x) = = f'(x) = 4x² tan x sec x Find f'(5)= " find 4x(x + 2 tan(x sec (x) (x))

A: Topic- Derivative of a function  We are given, f(x)=4x2tan xsec xand f'(x)=4x(x+2tan (x))sec x

Q: Question 2 Solve for the value of C in the equation: dy − (y + xy5)dx = 0 when y(0) = 1 A. 1/4 B.…

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Q: 5. Logarithmic Differentiation Method dy (a) Let y = x. Compute by using logarithmic…

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Q: What is a suitable integrating factor that can be used to solve the equation dy cos(2x) = 0 O A. B.…

A: To find IF

Q: If f(x) = f'(x) = f'(2) = tan x 2 sec x 1 + 2 tan(x) sec(x)

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Q: Suppose f f(x) dx = 25, f f(x) dx = 10, f g(x) dx = 10 and h(x) = 0 3 the following: a. (5f(x) 6g(x)…

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Q: Determine the order and degree of the differential equation, 3x- + 5x² (d²y) ³ - 3 A. First order,…

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Q: Consider the parallel piped with adjacent edger R² = -2²² + 35²¹ + R²₁ V² = 1² + 3√² + 3K² and W =…

A: We can find area of the face .

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Q: Which of the following equations has a solution of the form F(x,y)= A. 2x + 3y + (2y + 3x) dx = 0 dy…

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Q: 3 x dx + 5x² (4²5) ³ - dy4 Determine the order and degree of the differential equation, 3x - xy = 0.

A: Determine the Order and Degree of the Differential equation.

Q: Which of the equations below is a second order nonlinear differential equation? O A. ¹^²x²y — (1 —…

A: We have to find second order non linear differential equation from given options.

Q: Evaluate the following integral. 9 4 dx 1-√√x

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Q: Given the differential equation: 2 y' + ²y = 6x²

A: To choose the appropriate method to be used to solve the given DE. Method 5: Exact Equation Method…

Q: Consider the parallel piped with adjacent edges π = -2 ²²³ + 3√² + R²³₁ V² = ² + 3√² + 3K² and W =…

A: To find volume of parallelepiped.

Q: Which of the following equations is NOT an exact equation? | OA. (2x sin y + y)dx + (x² cos y + x)dy…

A: Exact differential equation A first order differential equation M(x,y)dx+N(x,y)dy=0 is called an…

Q: Solve for the IF of the equation y(x + y + 1)dx + x(x + 3y + 2)dy = 0 OA. O B. OC. ev eLny HA O D.y…

A: given    y(x+y+1)dx+x(x+3y+2)dy=0   it is of the form Mdx+Ndy=0   where M=y(x+y+1),    and…

Q: Which of the following equations is NOT a variable separable differential equation? A 2xydx + (x² +…

A: See this solution in below.

Q: 7. Find (a) the slope of the c y=9x² -1; P(4,143) (a) The slope of the curve (Type an integer or a…

A: solution:-y=9x2-1slope= dydx=ddx9x2-1=18x(a)slope of tangent at point P(4, 143)slope = 18(4)=72

Q: The rate of change of the variable y in terms of another variable t is equal to the expression 5t4 -…

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Q: A contour map for a function f is shown. Estimate the value of fy(3, 16) 25- 20 15- 10 5 60 fy(3,…

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Q: Find a polar equation for the curve represented by the given Cartesian equation. x + y = 4 2√2 sin…

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Q: a -- In words, describe the curve F(t) = (2 sint,e',2 cost) for 0<= t <=6 . Be sure to give enough…

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Q: What is the standard form of this linear equation in one variable: (y + 1)dx + (4x − y)dy = 0? None…

A: Given (y+1)dx+(4x-y)dy=0 Multiply both sides by 1(y+1)dy (y+1)dx(y+1)dy+(4x-y)dy(y+1)dy=0…

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Q: Which of the following equations is NOT a variable separable differential equation? O A. 2xydx + (x²…

A: Option D is not a variable  separable  differential  equation .

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A: A baseball diamond is in the shape of as quare with 50 ft sides. To determine how far is it from…

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A: See this solution in below.

Q: Find, correct to the nearest degree, the three angles of the triangle with the given vertices. A(1,…

A: First of all find side length using cosine formula and distance formula

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