Given the curves a -- of intersection. (t)=(41,3-²,5-12) and r(t) = (²-8,-1,1-3), find all points

Q: 8 of 10 Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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Q: (a) Solve the problem graphically. (b) Add slacks x3,c, x5 to place the model in standard form. (c)…

A: “Since you have posted a question with multiple subparts, we will solve the first three subparts for…

Q: Solve for the value of C in the equation: (3xy² + 2y)dx + (2x²y + x)dy = 0 when y(1) = 2 OA. 4 O B.…

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Q: Calculate the volume of the following systems by setting up the triple integral. Draw the volume and…

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Q: 2 C. X² + 2x = 8 2 X² + 2x + 1 911 = x (1 + x)/ X + 1 X = 4-1 X = 3 1 15 +1 x+1=± 4 4 X + 1 = - 4 X…

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Q: XXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXX Use the binomial theorem to show that…

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Q: Question 20 Select the correct rule to replace (?) in the proof segment below: Hypothesis Hypothesis…

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Q: me Cartesian coordinates of a point are given. (a) (-3, 3) (i) Find polar coordinates (r, 0) of the…

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Q: The position vectors of the four angular points of a tetrahedron are A(Ĵ + 2k), B(3î + k), C(4î + 3j…

A: Let us consider a tetrahedron with the vertex A(a,b,c),B(d,e,f),C(g,h,i),D(j,k,l) Then the volume of…

Q: dy Solve for the value of C in the equation: + ycotx = 5ecosx when y dx O A. -5 O B. 5 O C.-4 O D.4…

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Q: Which of the following is NOT true about the linearity of differential equations? O A. Which of the…

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Q: 3. Exact Differential Equations a. 3y(x² - 1)dx + (x³ + 8y − 3x)dy = 0; x = 0, y = 1

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Q: Find Vz. z = sin(5y² - 5xy) NOTE: Give your answer in unit vector notation; that is, in terms of i…

A: For any scalar valued function: z=f(x, y), it can be written that ∇z=∂f(x, y)∂xi^+∂f(x, y)∂yj^.

Q: for x > 2, we have

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Q: Find Duf at P. f(x, y) = 3(1 + xy) ³/2; P(5,3); 1 = i+ /2 - √2

A: The directional derivative of  f at α=α1,α2 in the direction of u=m,n is  f'α,u=limh→0fα+uh-fαh…

Q: You have $92,000 you would like to invest in three different stocks: MarkyB Inc., JohnJohn Ltd., and…

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Q: The integrating factor (IF) of the equation y' - 2ycot2x O A. sin2x O B. cot2x O C. Lnsin2x…

A: Solution:  To find the integrating factor of the given differential equations

Q: Give the center, foci, vertices & asymptotes. Sketch the graph y - x = 1 y + x

A: Given that        y-x=1y+x(y-x)(y+x)=1y2-x2=1-x2+y2=1-x21+y21=1 Compare to (x-h)2a2+(y-k)2b2=1 Here…

Q: Find the standard equation Asymptotes y 4x 3 71 3 17 3 - 4 -x and y 3 ‚ vertex at (17,9)

A: Given information Asymptotes:  y = -43x + 713    and     y = 43x - 173 Vertex: 17, 9.

Q: List all the polynomials of degree 2 in Z2[x]. Which of these areequal as functions from Z2 to Z2?

A: We know that a polynomial of degree 2 has the representation fx=ax2+bx+c, where a, b and c are…

Q: Let p(x) = -3 + 3x + 4x². Find the largest & so that p(x) - p(1.2)| < 0.00019 when |x-1.2 < 8. 8 =…

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Q: What is the order of the (entire) symmetry group in R3 of a 3-prism?

A: Consider the a prism as shown below, Here F,G,H are midpoint of the lateral edges. Let G be the…

Q: Solve for the value of C in the equation: dy - (y + xy5) dx = 0 when y(0) = 1 O A. 1/4 B. 1/2 O C.…

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Q: Show that there is no simple group of order pqr, where p, q, and rare primes ( p, q, and r need not…

A: We know the definition of simple group, A simple group is a group whose only normal subgroups are…

Q: aj aj Let D be a UFD and let a = I1P and b = I1 P, where p₁,..., Pm are distinct irreducible…

A: Given that D is a UFD, i.e. any non zero non unit elements have unique factorization into the…

Q: 4. Suppose that f is a continuous function on the interval [0, 3] such that f(0) 4. Apply the…

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Q: Which of the following classification of the differential equation, O A. dependent variable = x,…

A: We use definitions of Degree of Differential Equation, Order of Differential equation.

Q: 1. Describe and sketch the following sets of points defined by the following conditions. a. x² + (y…

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Q: Determine the truth value of ~ (~SA (rp)) →p^ (qv~r) if p and q and true statements and r and s are…

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Q: Compute the following. +7³²\/x=1 (2²+2z+1)²) 21. 23. d dx (2x+7)2 d dz |=-1

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: p=T, q = T, and r = F. Select the correct truth values for the two propositions:(qvr)→-p-r>>(p^q)…

A: Sol:- First Tabulate the Truth Table for both the prepositions :- q rr pp \left(q \vee r\right)…

Q: Solve for the value of C in the equation: (3xy² + 2y)dx + (2x²y + x)dy = 0 when y(1) = 2 OA. 4 O B.…

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Q: Select the proposition that is logically equivalent to p↔q. O (pvq)^(-pv-q) (p^q)v(-p^-q) O…

A: Draw truth table.

Q: Examples. Justify your answers briefly. (d) A sequentially compact subset of R² that contains the…

A: In this question, we have to give an example of a sequentially compact subset of ℝ2 that contains…

Q: (a) (b) (c) +8 {√n+1 = √n+ 2 } 2 ONG e n=1 In n +00 n=1 n=1

A: First put 5 terms and find value and look at the limit as n is large.

Q: A deposit or open the new savings account with $11,000 at 6% compounded semiannually at the…

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Q: Examples. Justify your answers briefly. (a) Suppose that real functions f and g have the same value…

A: It is given that, real functions f and g have the same value on some open interval containing 0.…

Q: j(x) = -3(x+1)³x² 2/x²³³+x+1)/x² 3

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Q: Graph the feasible region for the given system of inequalities. x + 3y ≤ 12 3x + y ≤ 12 x ≥ 0 y 20

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Q: The integrating factor (IF) of the equation: (2x³y² + 4x²y + 2xy² + xy² + 2y)dx + (2y³ + 2x²y +…

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Q: Use the SQUEEZE THEOREM to evaluate lim x →+∞ 3 sech x+sin² x In x

A: Given,         limx→∞ 3sechx+sin2xlnx.

Q: then

A: Both statements 1 and 2 are TRUE, the proof of each of the statement is given in step 2.

Q: Question 7 Solve for the value of C in the equation: (3xy² + 2y)dx + (2x²y + x)dy = 0 when y(1) = 2…

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Q: p = F, q = T, and r = T. Select the expression that evaluates to false. O¬q O qvr O qar Opvr

A: Sol:- Given Info:- p = F q = T  r = T Expression that evaluated to false :-

Q: Solve for Interval of Convergence and Radius of Convergence: +00 n=1 (x - 1)" 3n Check convergence…

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Q: 1 If (м - ох) - - - . then what is the integrating factor ду ?х/ м

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Q: Find the derivative of the function. √5-6 1(s) = √5 +6 f'(s) -

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Q: Proof of the following sets are convex. If not, provide a) {(₁,₂) R²₂ ≤ 3;222-11,722 41} b) {(₁,₂)…

A: Using the graph where applicable. A set S is convex if the convex combination of any two points in S…

Q: Sketch the following functions by factoring first to determine intercepts, holes and asymptotes.…

A: Given- The function y = 4x2 + 8x - 602x2 + x - 21 To find- Determine intercept, holes and…