Graph the curve r = sin(0)+ 1/2

Q: Find the shortest distance from the point (2,0, –3) to the plane x + y + z = 1.

A: This is a problem related to geometry part. Based on the concept of plane and point we will find the...

Q: x-'In²(Ine*) dx A Inx B Inx C Ine" D Inx2 E) None

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Q: Refer to the figure and find the volume generated by rotating the given region about the specified l...

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Q: The following chart shows "living wage" jobs in Rochester per 1000 working age adults over a 5 year ...

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: Given problem:- Find the volume V of the solid obtained by rotating the region bounded by the given ...

Q: c =

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Q: Function f(x, y) = 7x – 8y + 2xy – x² + y° -

A: we need to find the extreme points of f(x,y)=7x-8y+2xy-x2+y3  

Q: k. Evaluete the given limib

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Q: The Taylor polynomial of order 2 generated by a twice-differentiable function f(x) at x= a is called...

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Q: function f(x, y) = 7x – 8y + 2xy – x² + y³

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Q: In each case, determine whether or not the lines have a single point of intersection. If they do, gi...

A: (b) r1 = <4t, -3t+1, t-4> and r2 = <2t-3, -t, -t-1> So, if they have a point of intersec...

Q: Find the general solution of the differential equation: y'+4y=xy^3. Use lower case c for the constan...

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Q: Given the General Solution y = ke-0.08x2 Find the value of "k" given the condition (-3, 580). A) k =...

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Q: Evaluate: dt A 4e*+C B +C +C 4 C D pert +C 4 E None

A: Topic:- integration

Q: - In²(Ine*) dx A In²x B B Inr Ine D Inx2 E) None

A: topic - definite integral

Q: 3(r-4) Vx+5 x-4 3-Vx+5 To evaluate: The value of lim

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Q: Find the length of the arc of the curve y = In x over the interval: [1, 9| . Round the answer to fou...

A: This is a question related to derivative of the function. Based on the general formula we will find ...

Q: In a town of 100 residents, 85 of the residents speak Tagalog, 40 speak Chavacano, and 20 speak lloc...

A: As per our guidelines we are allowed to solve only first three subparts. kindly repost others. Given...

Q: x + 3x + 4x + 1 dr (x2 + 2x + 2)²

A: Given ∫x3+3x2+4x+1(x2+2x+2)2dxPerform partial fraction decomposition=∫x+1x2+2x+2dx-∫1x2+2x+2dxNow so...

Q: tan(tan3x)dx Evaluate: cos-3x -In |sec (tan3x)| + C (B ® - in [cos(tan3x)| + C © - sin( tan3x)| + c ...

A: We need to evaluate the following integral I = ∫tantan3xcos23xdx                            ...........

Q: dy Use implicit differentiation to find if tan'(ry + y) = x. dx dy dx

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Q: 19-42. Limit proofs Use the precise definition of a limit to prove the following limits. Specify a r...

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Q: Let F = (3x, 3y, 6z). Calculate div(F) and curl(F). (Use symbolic notation and fractions where neede...

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Q: Explain if the function is continuous or not for the given number a. if x>1 if x = 1 ,a=1 if x<1 f(x...

A: we have given function     we need to determine the continuity at a=1    

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.3 cm/min....

A: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.3 cm/min....

Q: (3х-5) 9. lim x--1+ x+1

A: This is a question of limit of the function. First we will try to convert this function into most si...

Q: Let f be continuous and have an inverse. Write F as the antiderivative of f, i.e., F(x) S ƒ (x)dx. U...

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Q: 5. Find lim f(x) f(x) 2 1 i -1 2 -2

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Q: Given the combined differential operators for a given differential equation (D + 7)³ (D – 2)(D + 1) ...

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Q: et kdt k A True B) False

A: First we solve L.H.S then solve R.H.S . We use the formula integration of eat=eat/a

Q: Determine the limit of the following: 1.1) lim x -->3 (sqrt 3x / x sqrt x + 1) 1.2) lim --> pi / 3...

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Q: Q4:A/ Find the length of an arc of the curve y = (1/6) x + (1/2) x from x = 1 to x = 2.

A: Since you have posted multiple questions in this question which are not interlinked so I have solved...

Q: What is lim ? X-0+ x

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Q: A manufacturer spends z thousand pesos on labor and capital. The number of units of labor obtained b...

A: We need to interpret the problem for given data.

Q: Suppose Bilbo Baggins is deciding on whether to buy a sword or a bag of golden cups. If he has a uti...

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Q: 4

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Q: 4. Find the volume V of the solid obtained by rotating the region bounded by the given curves y = Vx...

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Q: Write the equations in cylindrical coordinates. (a) 2x2 - 5x + 2y2 + z2 = 7 8,2 +z? – 5r cos(0) =7 (...

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Q: Identify the correct u (secx – 2) $dx cosx cotx A cosx cotx B secx - 2 (c) (secx – 2)5 D None

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Q: The alternating series (-1)" . converges. (You do not need to prove this, but you can if you 1 3" n ...

A: Here, the given series is: ∑n=1∞(-1)n13nn Now, the given series is an alternating series with 13nnn=...

Q: Given the differential equation dy + 4y = 5x dx

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Q: The direction field for the differential equation dy = e*-y dx passes through the point y(-1) = 2 is...

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Q: D. Evaluate et-2 tan vE 2t + 3 S 't² – 2t + 1 e2t

A: To evaluate: ∫et-2e2t, tan tt, 2t+3t2-2t+1dt=∫et-2e2tdt, ∫tan tt dt, ∫ 2t+3t2-2t+1 dt+A,B,C

Q: Find the volume v of the solid obtained by rotating the region bounded by the given curves about the...

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Q: Solve the differential equation y'+xy=0 using power series.

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Q: 12x2 Evaluate the integral: -dx 25 (A) Which trig substitution is correct for this integral? Ox = 5 ...

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Q: Use appropriate Lagrange interpolating polynomial for the following table and approximate f(1.5) Xi ...

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Q: Set up an integral that represents the arc length of the function y = 4a4 + 5x from the point (0,0) ...

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Q: 3lnx +2 x4 'dx

A: To solve the integral ∫ e3lnx+2x4dx Concept used: Power rule of integration: ∫xn=xn+1n+1+c ∫ eudu=eu...

Q: 3.) Construct a truth table for the compound statement. a) pA (p-q) b) (q - -p) A-q T. T. F F c) Are...

A: The detailed solution is given below Thank you