x x + x = 0 x + x 3

Q: 8. Explain one difference in how & and 8 are used in the definition of limits. 9. For f(x) = 2x²,…

A:

Q: Consider the following general term for a sequence an 3(4)" What are the first five terms of the…

A: Consider the following general term for a sequence an=34nTo determine the first five terms of the…

Q: Which is NOT a solution to the differential equation y"-4y'+4y=0?

A:

Q: dy/dx=2y/x+1

A: As we know that; The standard form of the first order linear differential equation is: dydx+Pxy=Qx…

Q: List all possible rational zeros given by the Rational Zeros Theorem (but don't check to see which…

A:

Q: 1. f de 1-cos 8

A: Since you have posted multiple question in this question and i can solve first question as per our…

Q: What is the auxiliary equation associated with the differential equation y'''- 3y"+4y=0? (A m³-3m² +…

A: Solution

Q: Is the differential equation y2dx + 2xydy =0 exact?

A:

Q: Rewrite each pair of functions. (g) and g(t), as one composite function, f(g(e)). (If not possible,…

A: To find f(g(t))

Q: 20.fe* √3-4e2x dx

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: eliminating arbitrary constant y= C1 cos 2x + C2 sin 2x

A:

Q: Evaluate the integrals (4) fin (3x-2)dx

A:

Q: Q16 Find of y=In(In(e)) A)))) Q17 f(x)=x²+2x-1,find (fy(-1) A) S B) 2 Q18 Find the value of tank(In…

A: As you have asked for question no 21 only, I am solving only that. We know sin-1(1/2)=30° And…

Q: For the function f graphed in the accompanying figure, find the following limits. NOTE: If a…

A:

Q: √√9-² A) sin ¹(3x) + c. B) sin-¹x+c. C) sin-¹ x + c. 22. dx = c sin(In x) D) sin-¹+c. E) sin-¹+c.

A:

Q: Q2. (a) Find the gradient vector Vf (e, 1) where f(x, y) = y ln(xy). (b) Find the directional…

A:

Q: 3. Find the area bounded by the curve y = x(x - 1)², the y-axis and the line y = 2.

A:

Q: Q14 The value of lim(e* + x)² (B) - A) 2 B) e B(1,9⁰) C)e* D) e² C)(-4,-1) D) (-C(L)

A: We have to evaluate: limx→0ex+x1x

Q: Q / If you have the quadrilateral matrix below, then the determinant of the matrix is /A/ A) = 0.2…

A: Given:…

Q: If f(x) = 15x + 4, find ƒ'(5).

A: Given: The given function is fx=15x+4 To find: we have to find the value of f'5 Note: Multiple…

Q: I need the correct answer for all of them please.

A: Here we have to find the local and absolute extrema.

Q: 3. (y² sin 2x) dx + (1 - y cos²x)dy = 0

A: solution is given below

Q: Solve the differential equation A) Iny-x=C B) Iny=c C) x + In y = C D) In c-y = x dy dx =y

A:

Q: A ball is thrown at an angle of 45 degrees to the ground, and lands 55 meters away. The initial…

A: Given: θ=45°x=55 my=0g=9.8 m/sec2

Q: 2) g(t)=3t+4; Find g(-3) 2) (200)- 5.2-3 Find - 4) w(x) = -3x - 4; Find w(7)

A:

Q: 53. So 0 ex sin x dx

A:

Q: Let y = f(x) = 2x² + 7x. Find the slope s(h) of the secant line of the graph of y = f(x) passing…

A:

Q: Suppose that the function g is defined, for all real numbers, as follows. g(x) = -(x + 1)²+1 if-2…

A: find the function g(x) value at indicated x value.

Q: iven the points A = (3, 4, 2), B= (-1, 2, 4), C= (0, 1, 3), and D= (-1, 2, 3), find   the exact…

A: Given that point A=3,4,2 ,B=-1,2,4 ,C=0,1,3 , and D=-1,2,3Solution :equation of line passes through…

Q: Eliminate the constant: y=cx+c²+1 Oy=xy' + (y) ²+1 O y'=xy + y² +1 Oxy"=x+ (y) ²+1 Oy=y'+x(y'¹) ²+1

A: The answer is given below

Q: Find the center and radius of the circle. -([ center (x, y) = radius

A:

Q: Find d²y| dx² d'y dx² x=2 = , where y = = P 4x5 - 2x². 4

A:

Q: Q12 Find (3 in)) is: A)-300) sin(x) B) 3x) cosx ln(3) C)-3(3) sin(x) D) 3

A: 12). The given function is; fx=3sinx   As we know the Chain rule: fgx'=f'gx·g'x And the common…

Q: Show that √₁₂ (ex − 1) (log(x) + ²1 ) dλ = [ Гол Σ n=1 using the Lebesgue integral: n² +n +1 (n −…

A: Your solution: Since we have a probability measure, λ  we can write:         Gjjhlvjljbb

Q: In Problems 1 and 2, y = 1/(1+cie) is a one-parameter family of solutions of the first-order DE y'=…

A: Given y'=y-y2 y0=-13

Q: If you know that lim f(x) = x

A: Topic:- function

Q: Q14 The value of lime The domain of f(x)= Q15 In(1-x²) is A) (-1,1) B)(1,0) C) (-∞,-1) D) (-1) U (1)

A:

Q: 1925 Γ ΑΙΞ OTH Q27) και D) diverge Use the Maclaurin series for e* to find the Maclaurin series for…

A:

Q: 20. Compute the area bounded by the curve y² = 4x and y² = 8x - 8.

A: Let's find area bounded by the curve.

Q: y" + 6y' + 9y = 100e ²x

A: y''+6y'+9y=100e2x

Q: Verify that the conclusion of the Clairaut's Theorem holds a) z = sin(xy) b) z = sin(x - y) c) z =…

A:

Q: The curve y²-x²= -5x is a solution to the differential equation y = (2x - 5)/2y (A) TRUE B) FALSE

A:

Q: __ydy 1+ y²2² || dx x when y(2) = 3

A:

Q: Sketch the graph of the function by first making a table of value H(x) = |3x| X -3 -2 -1 0 1 2…

A: We can solve this as follows:

Q: 38. f(x) = = 1 3x - 2³ C=-1

A: We can solve it as follows for Taylor's series.

Q: a/the derivative of the following function is y = x² - sin x

A: As we know that; The Sum/Difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 And the common…

Q: Determine the total differential dH of the function: H(x,y,z) = x^y+z

A: Given, H(x,y,z) = x^y+z

Q: The concentration C (in percent) of a drug in a patient's bloodstream. (t) hours after injection is…

A: We can find the answer in the below steps.

Q: 05 Q6 A) Which of the following seri 1) C) 1 D) diverge D) 1

A: We need to find summation.

Q: Two straight line are y = x -1 and y = -x + 1. Find the point of intersection: i) using Cramer's…

A: We can solve this as follows: