2nt H = 12+3 sin 365

Q: Consider the function f(x) = 4T + 3 on the interval (2, 5]. Find the average or mean slope of the…

A: use slope formula for finding the slope of f(x).and value of c

Q: Evaluate the indefinite integral. cos x dx (sin x)27

A: Let's find.

Q: Use the Power Rule to compute the derivative. (Use symbolic notation and fractions where needed.) L-…

A: ddttn=n.tn-1

Q: Preview Activity 1.3.1. Suppose that f is the function given by the graph below and that a and a + h…

A: Use slope formula for finding the value .

Q: (c) Determine whether the following function continuous at point (1, 1). Justify your answer. (x²-xy…

A: To determine whether the following function is continuous at the point 1, 1.fx, y=x2-xyx-y  if x,…

Q: Find the arc length of the parametric curve. x = 3 cos(t), y = 3 sin(t), z = 4t; 0<t<+ L =

A:

Q: A RI) doliars is the total revenue from the sale of x television sets. Rx} = 600 x- Find the 20…

A:

Q: Consider the following lines defined by I,: x – 3 = y – 5 = z – 6 and I2(t) = . c) Determine if the…

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Q: 1. For each of the following, state whether the equation is ordinary or partial, linear or…

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Q: Examples: Find the limits of the following: 1. lim sin x = sin1 = 2 5. lim sec x = lim cos(-) = cos0…

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Q: -1 8 - 2 Use this procedure to find the inverse of A =| -6 49 -4 34 -5

A: We can solve this as follows:

Q: a) Find the fifth term of the sequence 16 31 46 61 9' 15' 21' 27 b) Find the general term of the…

A: a)169,3115,4621,6127,....b)1010,1815,2620,3425,....

Q: Verify that the two planes are parallel. -x + 6y + 2z = 4 -*+ 3y + z = 5 Find the normal vector, n,,…

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Q: Use the Lagrange multipliers to find the maximum and minimum values of f(x, y) = 2x + y - 2z subject…

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Q: 1. sin²(esin*r) + cos-(2t³ – 5)

A:

Q: Consider the function f(z) =1-4x on the interval -4, 5]. Find the average or mean slope of the…

A: f(x)=1-4x2f(5)=1-4(25) =-99f(-4)=1-4(16)=-63The average or mean…

Q: 1) Find the area of the region that lies inside the curve r =1-sin 0 and outside the curve r = 1.…

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Q: Sketch the region R whose area is given by the iterated integral. dx dy 3 3- 2- 2- 1- 3- 3 2 3…

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Q: a. Determine "(®) if fx) = (8x² + x)³. Write your answer in simplified form. %3D b. Determine

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Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

A: Differentiate R and C with respect to time .

Q: Eliminate c from the equatia cxy + c²x + 4 = 0. O x* (y')? + x?yy + 4 = 0

A:

Q: (In billions of dollars per year) can be modeled D'(t) = 841.51 + 815.24t- 189.51?+19.16t where t is…

A: Given

Q: Find the area of the region between the graphs of f (x) = 3x3 – x² – 10x and g(x) = -x2 + 2.x, %3D -…

A:

Q: Business Decisions Sharon, the owner of the Brentwood Motel, is planning to renovate all the rooms…

A: Answer is in below steps.

Q: Find the direction cosines and angles of u and show that cos a + cos ß + cos y = 1. (Round your…

A:

Q: Solve the equation: (x² – xy + y² )dx – xydy = 0. %3D O (v - x) el:) = (v - x) e(G) = c O (v - x) =…

A:

Q: Let f(r) = r³ – 3x² + 4. Using the Mean Value Theorem, determine the value of c € (0, 3) such that…

A: A detailed solution is given below.

Q: Consider a triangle ABC like the one below. Suppose that a=49, c=68, and A=27°. (The figure is not…

A: Solve the following

Q: Find the absolute maximum value on (0, 0) for f(x) = 5x– 4x In x. %3D Select the correct choice…

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Q: Determine whether (6x+y^2)dx + y(2xy-3y^2)dy = 0 is exact or not.

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Q: 3. y = Vx*

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Q: c) Determine a pattern for the value of the even, (2k)", derivative of f(x) at x 37T th d) Determine…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: 3. Four inhabitants of a small island return from a vacation infected by a contagious disease. The…

A:

Q: 2 - y 3. Consider the lines defined by the equations &3 : x – 1= 3 – z and l4(s) = (1 – 2s, 4s, 1 +…

A: Given problem:-

Q: ded above by surface z = 10 – x2, bou e planes y = 0 and y = 3.

A:

Q: Determine if the given sequence converges or diverges. If it converges, what is its limit? 5 + 3n3…

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Q: 1. f(x) = Vx , g(x) = 9 - x² %3D 2. flx) = Vx , g(x) = х-2 3. f(x) =, g(x) = Vã

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others…

Q: Find the curve given by x = vt and y =(? – 4), t 2 0 find the slope and concavity at the point (2,…

A: Here, the parametric curve is given by: x=t, y=14t2-4, t≥0

Q: Eliminate* the arbitrary constants c1 and c2 from the relation y = cje-2* + cze³* у" -у — бу %3D 0 O…

A:

Q: 1. Let f be a function satisfying the following properties: • continuous on R\{1} • f(0) = 0 and…

A: Solution is here

Q: Determine whether or not the function is homogeneous. If it is homogeneous, state the degree…

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Q: Find the arclength of the curve x = 3t + 5, y = 4t + 7 with 2 < t < 5.

A:

Q: 2.) Use the comparison test to determine if the series is convergent or divergent: 2n+3 Σ n=7 3n2+2

A: Given that ∑n=7∞  2n+33n2+2using comperision test2n+33n2+2&gt;2n3n2  for n≥7∑n=7∞…

Q: Let f: R →R be defined as Sr + 2, if a < 1, 1-2a, if a 21. S(1) Plot f(r) of f of all r) Based on…

A:

Q: Find u v, u u, ||v||, (u v)v, and u (3v). u = (3, 11), v = = (-4, 3) %3D (a) u. v (b) (c) ||v||2 (d)…

A: Given: u=3, 11, v=-4, 3

Q: Eliminate the constant 'a' from the equation (x – a)2 + y? = a² O (x? - 2y)dx + 2xydy = 0 O (x2 -…

A:

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: The given parametric curve is: r(t)=cos(πt)i-ln(t)j+t-10k

Q: Eliminate B and a from the relation. x = B cos(mt + a) *+ 2wx = 0 O * + w?x = 0

A:

Q: A coffee company has found that the marginal cost, in dollars per pound, of the coffee it roasts is…

A: We have to find the total cost.

Q: Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) =…

A: