5. Some integrals might seem complicated. But they will simplify significantly if you look at them in the right way. Evaluate the integral F() = cos (0) + sin(20) – 3 cos(0) do sin (0) + 3 cos²(0) + 2 sin(0) – 3 Hint: Try substituting u =. sin(8).

Q: Solve the first order differential equation (x2 - 3bxy + 2b2y2) (xdx + ydy) = xdy - ydx

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Q: (x² +3x – 4)(x² –9) h: y=- (x* +x-12)(x+3)

A: The function is  y=(x2+3x-4)(x2-9)(x2+x-12)(x+3)  

Q: Use Simpson's rule with n = 4 to approximate 11 3Va? + ædx Keep at least 2 decimal places accuracy i...

A: ∫abf(x)dx=∫3113x2+x dx where   a=3,b=11 and n=4then h=b-an=11-34         h=2 Simpsons Formula is giv...

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Q: 3. The following statements indicates the use of descriptive statistics EXCEPT A. Last school year, ...

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Q: dg at s = 4. ds Use the Chain Rule to evaluate the partial derivative g(x, y) = x² – y. x = s? + 4, ...

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Q: D etermine if continuous f(x) = X-2 x² -14 %3D at x=2

A: Here we will check that given function is continuous at x=2 ,

Q: Complete the table. 4 lim f(x) X→3° -3 = -00 lim f(x) %3D X--00 lim f(x) -2 -1 6 7 8 %3D X→+0 -1 lim...

A: Topic = Limits

Q: For each of the following functions, find the indicated derivative using the definition. Note must f...

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Q: group homomorphism preserves identity i.e. for any homomorphism, f :G → G' , if e is the identity el...

A: Proof be attached in second step hopefully you understand.

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Q: Solve the given differential equation by undetermined coefficients. y"-8y'+16y = 24x+2

A: The given differential equation is y''-8y'+16y = 24x+2 We have to solve differential equation by met...

Q: Q3 (10 M)/find the polar form of (-1+i)

A: See step 2

Q: 4) metabolic rate (kcal/h; tog scale) Biologists often investigate relationships between properties ...

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Q: Determine if the given function is continuous on each of the given intervals. Show complete solution...

A: Given function f(x)=3x3+4x2-x+6

Q: not possible , explain why the operation cannot be performed. -8 7 -5 4 5 3 [2 A = -5 ,B -9 6 ,D E=7...

A: Here is given that A is matrix of order 2*2  but matrix D is 3*3 so given operation is not possible ...

Q: lim (1+ / tan(x² – 3x + 2) X' is :- X2 (A) e (B) 1 (C) e ! (D) e

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Q: Forms of Summation Notation 6. Square of the sum of variables: Ex; =(x, +x, +...+x,)? Example Evalua...

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Q: A tree on a hillside casts a shadow c = 225 ft down the hill. If the angle of inclination of the hil...

A: Topic = Trigonometry Height of the tree is 130 ft.

Q: 4. Summation of two variables: E(x, +y;)=E×, +£v, i-1 Example Evaluate the following given that x, =...

A: We can find the answers as below.

Q: Which of the following answer choices give the equation of an asymptote for the graph of f(x) = tan ...

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Q: dy The differential equation dx 3ay – 1= 0 can be classified as order 1, linear, and homogeneous ord...

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Q: dy Given the equation below, find dx - 30x³ + 8x45y + y" : - 21 dy dx Now, find the equation of the ...

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Q: Complete the table. lim f(x) %3D х—-11 = -6 12 lim f(x) %3D -12 -10 -s -6 F4 -2 1 6 10 12 x→-2 = 3 =...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

Q: Which of the following answer choices give the equation of an asymptote for the graph of f(x) = cot ...

A: Use the definition of asymptote 

Q: Evaluate the integral. | 8xex dx

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Q: Given the differential equation y" + 6y' 5e2 cos(9x) Find the Differential Operator for the Left Sid...

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Q: dx 4-x とt

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Q: Given the differential equation y" - 16y = x2 - 3x - 10 Find the Differential Operator for the Right...

A: According to question,Given differential equation,y''-16y = x2 -3x-10

Q: ū = (-/3, –1) and w = (1, /3) E. |

A:

Q: Evaluate the integral. ( Vx? + 2xdx

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Q: dx 1+x² plution as the answer is given.

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Q: 2. Find the cartesian equation of the following: а. r = 3-sin e b. r? cos(20) = 4 9. r2 C. 4 sin(26)

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Q: Let f(x,y) = ln(100 − x^2 − y^2). a. Find the domain of this function. b. Find the boundary of the d...

A: We know domain of log(x) is (0, infinity)

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A: Given that: f(x)=tanx

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Q: xe-x*dx dp.

A: ∫-∞ ∞ xe-x2dx  

Q: Solve the non-homogenous differential equation below dy 2y + x - 3 dx y + 2x – 3

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Q: Find an equation of the tangent line to the graph of the function at the given point. 1 arccos x y =...

A: The given function y=12arccos x at the point -22,3π8

Q: Which of the following is the limit of f(x)= 1-5x as x appro qchers 1 a. - 2 d. does not exist

A: If the denominator and numerator gives a non zero value on applying the value where limit to be foun...

Q: り のx + ex t 1tx - dx x* + 2x t 5

A: (i) ∫dxx=ln(x) (ii) ∫dxx2+a2=1atan-1(xa) (iii) ∫xndx=xn+1n+1, for any real number n.

Q: 3. Find the volume of a sphere with radius r by integration.

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Q: Sove the differential equations 3x²y 2 dx + (2x3y +x³y^)dy

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Q: Use the Shell Method to find the volume of the solid obtained by rotating region under the graph of ...

A: Given:     f(x) = x2+2       Interval : 0≤ x ≤ 5       Rotated about x = 5 

Q: dx -1.4x + 0.5y, dt dy 2.5x – 3.4y. dt For this system, the smaller eigenvalue is -3.9 and the large...

A: Please see the below picture for detailed solution. 

Q: EVALUATE AND SOLVE THE LINEAR DE. d²x dx + 2,+ 5x = 8e¬ dt2 dt dx When t=0,x=0 dt 8 =

A: Given that: d2xdt2+2dxdt+5x=8e-t

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Q: Find dy/dx by implicit differentiation. x = 2 In(y? – 48), (0,7) dy dx Find the slope of the graph a...

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