1 Evaluate: xInx In Ob. In Oc. -In 6 O d. In 6

Q: Let U be the universal set of natural numbers less than 11. Consider the following two sets. A = {2,…

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Q: First question: Find the inverse and determinate of the matrix A = [??H] -1-3 1 3 60 1 0 1 ||

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Q: The temperature is T degrees at any point (x, y, z) in three-dimensional space and T(x,y, z) = 1/(x²…

A: Here, the temperature is given by: T(x,y,z)=1x2+y2+z2+3 Now,…

Q: Consider the function f(x) = x4 + 2x3. (a) Find the x- and y-intercepts of the graph of f (if any).…

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Q: Set up UP the integrel the Pegioni Th bounded 2x2 and y =l+ x F(x,y) dA in by: y= 2x? 2. 4.

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Q: sin 4.x if x >0 3. Suppose f(x) = {0 if r = 0. Find f'(0) using the definition of derivatives. %3D +…

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Q: Solve the system of equations. If the system has no solution, say that it is inconsistent. 2х -…

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Q: VI. Use Lagrange Multipliers to solve the following: Maximize f(r, y, z) = 4r + 2y + z subject to z?…

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Q: Find all solutions to the equation. 2 sinx- cosx=1 Write your answer in radians in terms of t, and…

A: Given: 2sin2x-cosx=1   As we know that; The general solution of the trigonometric equation cosx=cosα…

Q: Using the law of 69.3 calculate to the nearest 0.1 yr the time it will take your original investment…

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Q: What are intervals of concavity of the function f(x) = -2x + 6x² – 3 ? %3D

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Q: Find all solutions to the equation. 2 sinx- cosx=1 Write your answer in radians in terms of T, and…

A: The general solution of cos x = cos y is  x = 2n π ± y  , n ∈Z

Q: 11

A: As per policy only first question is answered. Please refer to the image below

Q: Consider and know that the function g defined by 1 g(x, y) = cos (Tx /g) + log3(x – y)* - Answer the…

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Q: The graph of a function f is given below. According to the graph, f"(x) > 0 on (3, o0). y = f(x) -2…

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Q: 4. Find the derivatives of the following functions. Do not simplify your answer! d (a) sec x dr V +1…

A: As per Bartleby answering guidelines if a questions has multiple subparts then an expert is expected…

Q: In finding the area underneath a curve, which among the Riemann sums and definite integral is the…

A: Riemann Sums : As we know that a Riemann sum is an approximation of a region's area, obtained by…

Q: Question 2. (a) ( Evaluate the triple integral z dV, where E E = {(x,y,z):0<x<2, 0<y<2, 0Sz<3). (b)…

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Q: If a = (-6, 12, -9), b = (2, -16, 18), and c = (28, -14, 3), what is %3D %3D (51, 0, -24) (57, -48,…

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Q: Find the local extrema of f(x.y) =x²+y³+3xy and determine whether they are local maximum, minimum,…

A: To solve the given extrema problem.

Q: ĐUse the fuler method's Solve the: 5.525ー0 ら10)=1 hこer

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Q: 8. dx x² + 36 0.

A: The given integral,        ∫08x3x2+36dx

Q: Consider and know that the function g defined by 1 g(x, y) = cos (TX /y) + log3(x – y)* Answer the…

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Q: elevation of the sun slope of the hill A flagpole is on a slope that rises 10° from the horizontal.…

A: Given  Slope of hill α=10° Angle of elevation from slope β=39° Length of shadow on hill slope L'=24…

Q: A ball is thrown vertically upward with a speed of 15 m/s. Determine the maximum height and the time…

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Q: which of the following polar equations represents a cardioid? -r= 3-2cose r= 4+4sin0 r= 2+3sine T…

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Q: Find the average value of the function f(x)= e²x on the interval [0,4]. O a. 372.5 O b. 1490 O c.…

A: Topic = Application of integration

Q: Write the negation of a Statement: 1. All school gates are open. 2. The students are wearing their…

A: For Negation use words like if something is happening then in negation use not  If all are used ,…

Q: Solve the initial value problem (3+x2)y/" + 4y = 0, y(0) = 0, y (0) = 12. |3D If the solution is y =…

A: Please see the below picture for detailed solution.

Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

A: Note:- These are multiple questions and according to our company guideline we can do maximum one…

Q: Evaluate: 6 L-1 s²+49)

A: We have to evaluate given laplace equation.

Q: I. Show that the function f defined by 1, (x, y) = (1, –1) f(x, y) = { x2 + y (x, y) # (1, –1) x + y…

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Q: (b) Find a formula for the area of a cross-section of S in the plane perpendicular to the y-axis at…

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Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the giveN…

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Q: -dx 8a2+5

A: We know that integration of (1/x) is( lnx + c) .     Here i attached the solution of this question.

Q: 4) What is x to the power of -6?

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Q: Find the area under the graph of the function over the interval given. 32) y =x2 +1; [0, 1] A) D)를…

A: Given :y=x2+1   0,1

Q: Solve a3 -4x2 +4x lima→234 –12.a³ +12a²

A: We have to solve the given limit.  We can use Factorisation method.

Q: (b) Find the values of a and b so that the function f(x) = x2 + ax + b has a local maximum at the…

A: f(x)=x2+ax+b

Q: a S cosh 3xdx 3.

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Q: Find the area of the triangle whose vertices are given below. A(- 3,5) B(3, - 2) C(10, – 2) The area…

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Q: 17) y"+2y'+2y= 0, y(0) = 0, y'(0) = 1.

A: Topic = Differential equation

Q: 1. Determine whether each of the following series converges absolutely, con- verges conditionally or…

A: answer is in next step  . as per guideline i can answer only 3 subpart .

Q: 1 g(x, y) = cos (Tx VT) + log3(x – y)' Calculate the instantaneous rate of change of g at the point…

A: To solve the following problem

Q: - 4( Let u(t) = 8t i+ (-9)j-8k and v(t)= e'i+9 ej- e "k. Compute the derivative of the following…

A: topic - dot product and derivative of a function

Q: Evaluate the function at the given value of the independent variable. Simplify the results. (If an…

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Q: Consider the function defined by 1 g(x, y) = cos (Tx Vy) + log3 (x – y) Calculate the instantaneous…

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Q: The implicit derivative formula on a surface F (x, y, :) = 0 is: *--() F Evaluate d:/Əx on the…

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Q: Use the above formula to write each of the following limits as an integra (a) (b) lim n00 j=1 n2 +nj…

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Q: where R io the region inside the cree Evalate in poar coordinato the integrad:

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