Find a parametric equation of the line M through p and q for the given values of p and q. [Hint: M is parallel to the vector q-p shown in the figure.] -----] q= p= X= =+¹(t in R) 0 5 -P q-P

Q: *1 Find scalars (i.e., real numbers) x₁ and x2 such that 3 -2 -2 3 1 1 2 x₁ = x2 = + x2 -1 = 3

A: Given

Q: b. F(s) = 6 8s3-36s2+54s-27

A: b. F(s) = 6/(8s3 - 36s2 + 54s - 27)              = 6/{(2s)3 - 3.(2s)2.3 + 3.2s.32 - 33}…

Q: Consider the equation f(x) = x² cos(x). Integrate f(x) from x = 5 to 3000 (inclusive) with 2211…

A: Given f(x)= x2cosx Simpson's 38rule points are 1,2,3,4 h=4-13=33=1 f(1)=12cos(1)=0.54…

Q: 5) Determine the equilibrium temperature distribution for a one-dimensional rod with constant…

A: Given that a one -dimensional rod with constant thermal properties with the following sources and…

Q: 5. For each of the following functions say whether the indicated point is regular, an essential…

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Q: If f = {(-7, 1), (-5, 8), (3, 11), (5, -1)} and g = {(-6, 4), (-5, 3), (-1, 7), (5, 5)}, what is f+…

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Q: Create the formula for circles with center on the line y = -x and passes through the origin

A: Introduction The equation of circle gives an algebraic approach to define a circle given its centre…

Q: In problems 3 and 4, x, y, z are real numbers. 3. Is the following statement true or false? Just…

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Q: Find the vector from the point (-4, -3, 5) to the point (10, −2, 4). Enter the coordinates:…

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Q: Change the complex number to rectangular form. (cos 125° + j sin 125°) -0.022 - 1.000j 0.022 -…

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Q: Sketch the vector field F(x, y)=2i-j and calculate the line integral of along the line segment from…

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Q: Find the function, f(k, p), such that Σε(k,p)=n" vp,n€ N k=1

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Q: Compare the representative rectangles for the disk and shell methods.

A: The main difference between the washer and shell methods in calculus is the orientation to the axis…

Q: A group of six friends go to a baseball game. Each friend buys either a hamburger or hot dog at the…

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Q: determine two linearly independent power series solutions to the given differential equation…

A: Given differential equation is: y''-x2y'-2xy=0 It is required to find the two linearly independent…

Q: SOLVE THE FOLLOWING ODE STEP BY STEP d²o dø² -m² = -1

A: The given ODE, d2Φdϕ2=-m2Φ We have to solve the ODE.

Q: This set of questions pertains to graphs of sine and cosine. a. Please examine this graph. (38, 12)…

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Q: Find the volume under the paraboloid z = x² + 4y2 and above the rectangle [0, 2] x [1,4].

A: We have to find the volume under the paraboloid z=x2+4y2 and above the rectangle 0,2×1,4

Q: A tank holds 6,000 gallons of water, which drains from the bottom of the tank in half an hour. The…

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Q: Express the limit as a definite integral on the given interval. [3(x)³ - 7x*]4x, 2 lim i = 1 dx…

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Q: solve formula За(1-5b)=2b-4а

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Q: Could you graph it why did you not graph it?

A: To graph using their corresponding reference angles: (4.) 93° (5.) 148°

Q: Calculate the Riemann sum Rf. P. C) for the function f(x) = x + 5x, the partition P = (3,7,9,13) and…

A: Solution :-

Q: @o (a) f(1) = (b) lim f(x)= x→1 (c) lim f(-3x) = x→1

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Q: Solve the following system of equations by LU decomposition. Show all the steps of your calculation.…

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Q: 1. Find the Laplace Transform of the following: a. f(t) = e(t + cost) 1-e-2t t b. f(t) = =

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Q: Let f(x) = 3x + 1 and g(x) = 2x. What is (fog) (2)? 13 O 28 O 14 O 128

A: The given functions are          f(x) = 3x+1    , g(x) = 2x then ,   we have to find (fog)(2) = ?…

Q: Could a set of three vectors in R* span all of R*? Explain. Choose the correct answer below. A. No.…

A: The correct answer is:  Option D  No.The matrix A whose columns are the three vectors has four…

Q: Given the functions a) 9 b) 3 c) √11 d) √√√ = COS X and g(x)=√10+x, determine the value of g(f(t)).

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Q: Given the functions (x)= 1.4" and most likely resembles a) b) d) 34 M $ At H g(x)= ) = cos x, a…

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Q: 19 For X = {1, 2, 3} and Y= {a, b, c), functions f. X - Y and g: Y-X are defined as follows: 1. NT 2…

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Q: A model giving the purchasing power of the 2001 constant dollar is d(t) = −0.023t + 1.00 dollars…

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Q: d If D= find a complete solution of: " di (D+5)x+ (D+3)y=e" (D+2)x+ (D+1)y=3 (1) (2) K

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Q: Question 4. Determine the largest possible domain X CR such that the formula, 1 f(x): sin(x) cos(x)…

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Q: Give a geometric description of the following systems of equations. ✓ Select Answer Three identical…

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Q: 4. Find the apportionment under the Jefferson method if there are 100 seats to be apportioned. Hint:…

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Q: Given the functions f(x) = ax - 1 and g(x) = bx² + 3x + 5, determine the value of a and b if (g.…

A: Given f(x)=ax-1 and  g(x)=bx2+3x+5 And…

Q: Question 3: Let c be an arbitrary constant, and consider the equation: 2c3 3 y = c²x- Show that the…

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Q: 3. Solve the IVP below using Laplace Transform: 6y"" + 5y"+y' = 0 y(0) = -2, y'(0) = 2, y" (0) = 0

A: Lapalce transfermation, solution of differential equations

Q: Express the given number in exponential form. -2-j 2.24e0.464j 2.24e3.61j 2.24e0.927j 2.24e¹.11j

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Q: Let u(x,t) be the bounded solutions of du d²u =0_with_u(x,0)==== at ar lim u(1,1) equals 1-10…

A: ut=uxxux,0=e2x-1e2x+1

Q: Express the number in terms of j. √-15

A: Given expression is -n5 We know that j2=-1

Q: Biologists have found a linear relationship between the temperature of the environment and the chirp…

A: Given that the cricket's chirp rate is 72 chirps per minute when the temperature is 57°F, but the…

Q: Recall that the Taylor-Maclaurin series for the function ln(1 + x) around x = 0 is given by (-1)n-1…

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Q: Determine whether the statement below is true or false. Justify the answer. If x is a nontrivial…

A: The given statement is: If x is a nontrivial solution of Ax=0, then every entry in x is nonzero. We…

Q: €ijka;bjხk = 0.

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Q: 10) A rocket is fired and its height is modeled by h(x) = + x, where x is the horizontal distance…

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Q: Sharon wants to retire in 30 years time, and so decides to start a new retirement savings account.…

A: Time t=30 years Rate of interestr=5% compounded monthly Initially account has: $1000 Desired…

Q: 3) Find the optimum assignment plan of the following assignment problem: Worker 1 STWNT 2 3 4 5 AS A…

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Q: Write an equation for the graph shown below. Use y as the dependent variable. y 3 K X

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