20 Which pair of graphs are complement of each other? V2 V2 VI V3 VA (a) (b) and (c) (a) and (c) (a) and (d) (c) and (d) VA (b) V₂ VA (c) V3 VI. V2 VA (d) V3

Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) (x(t), y(t),…

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Q: 1. If f(x) dx = 3, evaluate [[1 + 21(x)] dx using the properties of interga 2. If f(x) dx = -2 and…

A: As asked we can answer question no 1 and 4 as below.

Q: - 5. Sketch the graph of f(x)= x² – 5x + 6 using the Vertex and the X-intercept. Identify the axis…

A: Explanation of the answer is as follows

Q: We must integrate y = (8x-x2)-(2x) = 6x-x². The limits on the integral correspond to the smallest…

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Q: The voltage Vin a simple electrical circuit is slowly decreasing as the battery wears out. The…

A: We have given  Resistance (R)= 423ohm  Current (I)= 0.05A  dV/dt= -0.06V/s  dR/dt= 0.04ohm/s

Q: Consider the following curve. y = (x+2)/(x-6) Find the slope m of the tangent line at the point (5,…

A: Here we have to use the concept of derivatives

Q: . foci: (±4,0) major axis of length: 1

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Q: If the Wronskian W of f and g is t²e³t, and if f(t) = t, find g(t). NOTE: Use c as an arbitrary…

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Q: (f) 2 dy (2y+3) 4x+5 dx y(1) = 3

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Q: Part One. All of the equations listed below are general equations of conic sections. Study each…

A: Above question is solved.

Q: Part One. All of the equations listed below are general equations of conic sections. Study each…

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Q: alla Find xy² R2² -dA, R= [0, 4] × [ - 2,2] x² +1

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Q: Part 2. Find the Standard Equation 2. circle with center at (4,-5), diameter is 6

A: We know that the standard equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k )…

Q: All computations in this section must be done by the definition of Taylor series (taking…

A: according to given, only 1st solvedGiven :f(x)=1-xx=0

Q: The measurement of the side of the cube is 6 cm long. If this length has an error of 1/12 cm. Find…

A: Topic = Derivative

Q: A company determines that the cost of making units of commodity is C(x) = 480000 + 2.4x - 0.0008x²…

A: Given C(x)=480000+2.5x-0.0008x^2

Q: 3. (1+2x − ¹) dx (assume x > 0)

A:

Q: 4) 4 6 9 тоон 3 -3 2 -2 0 0 Х2 X3 ХА 44 66 124/

A: The given system of equations,1-13-240-30602095-25x1x2x3x4=-14466124

Q: . Given 1 [(5x+ + = + 1) dx a. ) Evaluate the indefinite integral above b. Evaluate the integral…

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Q: 4n+1 -a) Find the sum of this series Σn=071 3x 8-x²-y² b) Evaluate dzdydx

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Q: sec ( =) af Given f = e - yt+y, find dy sec 21 ____=_=(4) tam(3) ²(3) __g²¹3-¹ (z+y+yn (y)] xe sec…

A: see below the answer and calculation

Q: Determine whether​ Rolle's theorem applies to the function shown below on the given interval. If​…

A: This question can be solved using the concept of Rolle's Theorem.

Q: Consider the following parametric curve. x = sin(8t) + cos(t), y = cos(8t) - sin(t) Find dy dx dy dx…

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Q: Use a graph to give a rough estimate of the area of the region that lies beneath the given curve,…

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Q: Evaluate the following triple integral by hand: 2 }}} ij X'√= dxdydz= y³ z=1 y=2 x=-1

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Q: 8. Use the Gaussian elimination method to solve for all the variables in the following set of…

A: Solving the problem by finding the value of x,y and z.

Q: Find the absolute maximum and minimum of f(x, y) = x + 3y within the domain x² + y² ≤9. 1. Absolute…

A: Here to use the lagranges multiplier to find the maximum and minimum value of tehe function f(x,y)…

Q: 3. The population of a specific bacteria growing in a Petri dish is modelled by the function t P(t)…

A: Population of bacteria is  P(t)= 12000(3)t/4  a) determine the value of t when P(t) =324000  b) what…

Q: Which of the following is a solution of the given initial-value problem? y' + (tan(x))y = 5 cos²(x);…

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Q: Differentiate: 2. y = 7x²+2

A: given

Q: Starting at age 35, you deposit $2000 a year into an IRA account for retirement. Treat the yearly…

A: Given that,

Q: For the next two exercises, determine the Taylor series generated by the function f at x = a.

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Q: How many paths spell MANAGE? A N A A E a) 15 b) 100 c) 10 d) 20 M ΣΖ A E N G A

A: Use: Pascal's method

Q: Find the anti-derivative of g(x) = 2*, which contains the point (0, 2.44). ⒸG(x) = -2 O G(x) = 2 O…

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Q: Find the domain of the following function. 5 f(x) = 81-x² The domain is (Type your answer in…

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Q: 3x+2 2+9x+1 dx

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Q: A manufacturer of shirts determines that her fixed costs will be 500 dollars plus 9 dollars for each…

A: Calculation of above requirement are as follows.

Q: Solve the following linear system by using Gauss elimination method 5x₁ + x₂ + x3 = 5 x₂ + 4x₂ + x3…

A: Given that,

Q: S dx (36x² + 1)²

A:

Q: Find the area of the shaded region. y y=8x-r 15 (6, 12) 10 A y=2x 2 4 6 Step 1 To find the area…

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Q: 1. Find the derivative of the following sin² x cos² x a)y + 1+cotx 1+tan x

A: We have to find derivative of given trigonometric term.

Q: Evaluate the integral f sin²x cos³xdx.

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Q: Evaluate the definite integral. 2 X dx 1 + 4x 0

A: Take (1+4x)1/2 = t

Q: For the function ?(?) = ?2 − 2? + 5, estimate for the instantaneous rate of change at x = 3. Round…

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Q: A 200-foot cable weighing 4 pounds per foot is hanging from a winch 200 feet above ground level.…

A: We have to find the work done.

Q: 1 x-3 x2-3x-4 dx

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Q: If the Wronskian W of f and g is t²e5t, and if f(t) = t, find g(t). NOTE: Use c as an arbitrary…

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Q: 03: Evaluate the following integrals: dx (4) √√√²+4x+4

A: Solve the integration

Q: Repeated Irreducible Quadratic Factors: Examples 1 √v++ By² + 16 dv 8v²

A:

Q: 05: Solve the following system of equations by Gramer's Rule. 2x - 4y 0 x+y+z=1

A: Use Cramer rule to solve the system