Write the following sets in set-builder notation. There may be more than one correct way to do it. Your answer must restate set membership in some way.  (a) {1,10,100,1000,10000,…} (b) {2,6,10}

Q: Find the general solution of the given ODE * dy x+2y-3 dx 2x+y−3 (x+y)³ = C(x + y − 2) Option 1…

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Q: Solve the differential equation. 11.    ( 2xy – tan y) dx + (x2 – xsec^2y) dy = 0

A: The given differential equation is; (2xy-tany)dx+(x2-xsec2y)dy=0.

Q: ed at (2,1) is Assuming that y is defined implicitly by the equation ²-2-58, the derivative

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Q: Prove the identity sin(-0)- cos (+0)

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Q: X 1 2 3 1 3 4 Y 2 3 2 5 3 6 The following relationship exist between a dependent and independent…

A: Equation of the given relationship is :y=x2-3x-2.we have to find the values of dependent variable on…

Q: Which of the following is equivalent to 7% = a + 3? log(a+3) 7 = y log7 y = a +3 log, 7 = a +3 Ology…

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Q: 9. [ 2x + y cos (xy)] dx + x cos (xy) dy = 0

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Q: 1. find the derivative 2x² - 6x³ + 5x²-3x + 17 Enter your answer

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Q: Q4: A-Evaluate: fx exdx, using Gamma function applications. B-Find the Laplace transform of: f(t)=…

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Q: 76 students at a local sports school were surveyed about which fitness activity they would like to…

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Q: 5. If the variance equal 16, the standard deviation equal: OA. 4 OB. 10 O C. 5 OD. 3 O E.2 6. If the…

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Q: For vectors ?⃗ = ⟨2, −3, −2⟩, ? = ⟨1, −4, 2⟩ Find the projection of vector ?⃗ onto the vector ?.

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Q: Obtain the orthogonal trajectories of y=Cx^2 and compute for the positive value of y of the…

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Q: (y^3 - x^3) dy = (3y•(x^2) +1) dx Solve exact diff eq

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Q: b. Determine the gradient of the following function at Po h(x, y, z) = cos xy + e + In zx, Po(1, 0,…

A: We need to find gradient.

Q: iven the matrices A -6 Paren (3 3.8-1], 40-1], solve B = and C= for 5 V

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Q: Use first principles definition of the derivative to find f'(x) for the function 3 f(x)= x-2 =

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Q: (1) 2. Determine the total number of different outfits you can create from your closet if you have…

A: This is a problem related to permutation and combination. Based on the general formula and concept…

Q: The curvature x(s) of C is defined as the magnitude of the rate of change of the unit tangent with…

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Q: (0)3-3x+2 sinh' (In x) cosh (In x) (E) sin(2x)dx dx N

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Q: Q1 (a) Using the second shift theorem, find L-1 se s² +91

A: Aaaà

Q: Q.1- Evaluate the following integrals (answer two only) a- So √x e-√x dx 1

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Q: Q2:- a. b. Let u=x²-2xy + 2y³ with x = s²ln t and y = 2st³. Find au/as and au/at. find the total…

A: We need to solve the two questions.

Q: f(x.y) =e^sin(y) + In(xy) ; әз of Әхд-у

A: See the answer below

Q: Given the matrices A: = [1-4] 0 21. B=( )-C-1) ₁ [1 -5 5 and C= the matrix X in the equation AX + 5B…

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Q: d³y dx3 +69²y dx² - Q.2-Solve the differential equation dy 15 d - 100y = 0 dx

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Q: If f'(a)=, what is the slope of the line tangent to the graph of y = f(x) at the point (a, f(a))? O…

A: Given: the curve, y=fx.f'a=12

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth…

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Q: If y = -x-4/3, what is 4 321/3 -1/3 01- 45 3-76 4 32-7/3 dy 2

A: y=-x-43

Q: Example (2): Find area shown in the figure bounded by (y = x²), (y = -x) and (x = 1).

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Q: (a) The graph of y = g(x) is shown. Draw the graph of y=-g(x+1). 6 ?

A: We are authorized to solve only one question, please repost remaining questions Graphical…

Q: using the guide below Analyze and sketch the curve (x) = (x-1)² A) Domain, intercepts, asymptotes,…

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Q: Question 14 If z= f(t); u = g(x); x = h(z), which of the following is/are correct? du du dr dz (a)…

A: To find out the correct option.

Q: Question 13 If f(x) = √ and g(x) = x¹, what is the derivative of (fog)(x) with respect to x? O 1…

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Q: Question 8 At what numbers is the function f(x) = Sommer O At all real numbers O At all real numbers…

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Q: Evaluate the integral.   The integral from 1 to 4 of e^(4/x)/x^2dx

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Q: C- - 0 x4 (1-√x)5dx

A: we  need substitution method to evaluate given integral

Q: Find the general solution for the following Second Order Deferential Equation: Q4: d²y dx² - y = ex…

A: Given: d2ydx2-y=ex+x2 So, we can also write as: D2-1y=ex+x2 The auxiliary equation of the…

Q: y=(2x−1)' (2-3x)* at the point (1,1)

A: We have to determine the equation of the tangent line to the curve  y=2x-13 2-3x4, at the point 1,…

Q: Lea With reference to the activity in learning task # 3, find the derivatives of the following…

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Q: mswer below: f(x) = f(x) = (x) = -2 68 5 4 3 2 10 1 0 1 -2 -3 -4 -5 6 -7 2 -00 4 6

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Q: 2. f(x) = 4x5 + 3x² - 7

A: To discuss the continuity of the given function. To give the intervals in which he function is…

Q: By using convolution theorem for Laplace transform, prove that 1 L-1 ;x) = { erf (2√x) PVp +4

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Q: Given z = 7t - 43 and y = 49 sin t dy (i) de to (ii) (1₂)

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Q: (2) Compute dy dx if mxy=55

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Q: For second-order differential equations that cannot be solved by algebraic methods, the…

A: For second order differential equations that cannot be solved be algebraic methods, the leibniz -…

Q: Question 17 D, (cos(sin x)) = O-sin(cos z) - sin + cos z COS I - sin(sin z) O sin(sin x)

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Q: c - [ ²x² (1-√x ) ³dx Jo

A: To find out the integration.

Q: 3. find the derivative 513.5+412.52¹.7 lt Enter your answer

A: Taking derivative of the function with respect to t and using power rule of derivative gives the…

Q: Q5: Find the inverse Laplace transform of: f(s) = 3²(²-3)

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