Which of the following 3 x 3 matrices are in row-echelon form? Note: Mark all of your choices. 0 1 0 0 0 1 0 060 1 -2-8 0 1 0 0 0 0 199 01 1 010 001 000 001 0 0 U O 0 0

Q: Find the indefinite integral: 10sin 3x - 15 cos 2x + 6 e5x + C O 90sin 3x -60 cos 2x + 150 e5x + C…

A: 30∫cos3x+sin2x+e5xdx=30· ∫cos3xdx+∫sin2xdx+∫ e5xdx=30·…

Q: 7. Find the points on the curve y=-x where the tangent line is parallel to the line y= 3x

A: The points on the curve y=x33-x where the tangent line is parallel to the line y=3x

Q: y = sin² (3x)

A: Topic = Derivative

Q: x6 cos(x³) (A) True (B) False |dx=0

A: We will solve the problem

Q: Using Trapezoidal method spaces) 1 2 dx for n=4 is equal to Blank 1 (use 2 decimal places with…

A: Given problem:-

Q: ven than L [₁ f(x) da = 7 and [° f (x) da : ^ [ f(x) dx = [₁ f (x) dx - [* f (x) de da A BIf If f(x)…

A: We can answer the question as below.

Q: Using Simpson's method √x³dx for n=4 is equal to Blank 1 (use 2 decimal places with proper rounding…

A:

Q: Solve the differential equation: (1+x3)dy - x2ydx=0; y(1)=2

A: Solve the differential equation: (1+x3)dy - x2ydx=0; y(1)=2

Q: Sx√x + 1dx

A:

Q: Solve for the second derivative of the following implicit function

A: We can solve this as follows:

Q: Q3/ Solve the following. 1. lim(1 + sin4x)cotx X-0 Inx 2. lim X→∞ √X

A:

Q: To integrate x3 exdx, we apply integration by parts and in the form u dv, dv is set as: O ex dx O…

A: We have to find the dv

Q: Derive the following function 6. y = 23x²

A: Given.

Q: f(x)= log (x-2) f(2.1)= log(2.1-2)= log 0.1 = -1 X 2.1 5 8 10 15 15)- 20 25 (20) 164 13 (x, f(x))…

A:

Q: 1. d²y dt2 dy + 6- +8y=2e-3t dt 2. d²y dy +4 dt² dt +13y = e-t 3. d²y dy +7 +10y=e-2t dt2 dt

A:

Q: Determine whether there exists a function f : [0, 2] → R or none such that f(0) = -1, f(2)= 4 and…

A: In this question, we need to determine whether there exists any function for the given conditions.

Q: Proving by Mathematical Induction A. 1. If P(2) = 1·3+2+4= 2(3) (11) 6 2. Prove that P(n) is true…

A:

Q: Which of the following functions have a 4th derivative different from itself? 0x4 ex sin x COS X

A:

Q: en fr f(x) dx = √² Iff and g are continuous on [a,b] and f(x) ≥ g(x) for all x € [a,b], then A True…

A:

Q: Iff is continuous on [a,b], then (A) True B) False b b xf(x) dx = x f(x) dx a a

A: In this question, we want to know whether the given statement is true or false.

Q: -3 1. f³² (x³ + x)dx

A:

Q: Solve for x. O-1,-4 O -1,4 O 1,4 O 1,-4 x-1 3 2 x-2 =0

A: Given,      x-132x-2=0

Q: A street light is at the top of a 18 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: 10. State whether the following series converge or diverge. Justify your answers. (b) Σ (# + gr)…

A:

Q: Arrange the choices in order 1.2.3.. to prove: For any sets A, B and C A x (BUC) = (A x B) U (A x…

A: Here we have to arrange the option.

Q: Using Simpson's method spaces) √²x² dx for n = 4 is equal to Blank 1 (use 2 decimal places with…

A:

Q: Using Trapezoidal method 3 x³dx for n=6 is equal to Blank 1 (use 2 decimal places with proper…

A: Let's solve given integral by using trapazoidal rule.

Q: Iff is continuous on [a,b], then [xf(x) dx = x = xf²f(x) A True B) False f(x) dx

A: We will solve the problem

Q: 3n³ + 2n² + 1 n→∞ 1+n-2n³ " (a) lim (b) lim x→1 x² + √√√x-2 1 - ln x

A: Topic = Limits

Q: (x-7) dx 19. SJ5-4x-x2

A: Answer is following.

Q: Evaluate ffxcos² (y) d4, R=[-2,3]× [0,1] R 5π/8 3π/4 5π/2 O 2/3

A:

Q: 2dx E, is same as evaluating lim cos-¹(f(x)). Determine the value of f(x) if x=0.68 x√√x²-4 c-2+ In…

A: Given problem:-

Q: entus 1. √ √2x + 1 dx

A:

Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A: Let's find absolute maximum and minimum value of given function.

Q: x³ + 3y = xy (By implicit differentiation)

A:

Q: (1+x3)dy−x2ydx=0; y(1)=2

A:

Q: Q: 1 the first derivative test to find the intervals on which the function f(x) = xe-* = is…

A: Given, f(x)=xe-x

Q: Given f(x,y) = ex cos y, Evaluate fx(2,0)

A:

Q: 2. +4y= sin(3t), y(0)=2, y'(0) = 0

A:

Q: y = (4 + ³√/x)³ 3

A: Inverse function

Q: II. Find the sum of the following convergent series. lim = = = lim lim 0-2 1 [tan ² (2n-1) - tan²¹…

A: Given problem:-

Q: Find the derivative of sin In x O sin(Inx)/x O cos(Inx)/x O cos(1/x) O sin (1/x)

A:

Q: Find in each of the following. dx sin x 1. y = 1+cosx

A: We have to find the derivative

Q: (b) In +8 x² 2 - 36

A: We have doing solution useing logarithm laws

Q: The value V of a machine t years after it is purchased is inversely proportional to the square root…

A:

Q: Suppose that fn ⇒ f on R and that each fn is a bounded function. Prove that f is bounded.

A: Solution

Q: Using Trapezoidal method √√x dx for n = 4 is equal to Blank 1 (use 2 decimal places with proper…

A: We need to use here, the trapezoidal rule.  ∫ydx = h/2 [ y0 + y4 + 2 ( y1 + y2 + y3 ) ]  For this…

Q: -1 (a) cos (b) log5 (25) -√√3 2

A: Solved below.

Q: 9. f √x³-1dx x

A: Given: I=∫x3-1xdx    ...1 As we know that; ∫11+x2dx=tan-1x+C

Q: All continuous functions have antiderivatives. (A) True (B) False

A: all continuous functions have antiderivative.  But noncontinous function doesn't have. It's true