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Q: Describe the graph of the equation. r= (5 - 31) i - 10:j O tis a line in 2-space that goes through…

A: This is a problem related to vector. Based on the general formula and concepts we will answer the…

Q: If the price charged for a candy bar is p(x) cents, then x thousand candy bars will be sold in a…

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Q: B)号 4. nこt u puyと いつ0o Sinlen)+ w!l いo an

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Q: x")' = a xa-,(x)'=1 and (constant )'= 0. %3D x+2 Using Quotient Rule (£)' = f'g-fg') x-1 A) 2x/…

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Q: .W (3) Solve the following differential equations of

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Q: the 6) Find the a by curves y=x° and y=X ea of the region enclosed A) D)

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Q: Solve the following differential equations of dy 1 -·y = xy'; dx

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Q: Question 9 Solve the problem. Find the volume of the region enclosed by the sphere x2 + y2+ z2 = 100…

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Q: 19. e dr

A: Topic = Integration As per guidelines , At a time only one question can be answered. please repost…

Q: 14) f' (x) =(sin 3 x)'=, A) – 3(cot2 x) csc2x C) 3(tan2 x) sec2x By Power Rule B) – 3 sin2 x cos x…

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Q: 2. The sum of a two-digit number is 13. When 27 is added to the original number, the result is the…

A: Suppose the two-digit number is xy where x is on the ten's place and y is in the one's place. Here,…

Q: 54. Find numbers a, b and c such that x = 1 + at y = 2+ bt is perpendicular to 2x + y - 3z = 1 z 3+…

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Q: Solve the following differential equations of dy 1 y= xy'; dx x

A: To solve the following differential equation

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. O 3…

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Q: I. Evaluate the following Definite Integral. 1.) L,9 6x3+4x2-8x dx 2.) x²(2x³ + 1) dx 2x 3.) sž…

A: Integration

Q: Identify the type of surface represented by the given equation. 2 O Parabolic cylinder O Ellipsoid O…

A: We know that x-h2a2+y-k2b2=1 is the ellipse standard equationGivenx27+y22=2Divide 2 on both…

Q: Question 22 Solve the problem. Calculate the area of the parallelogram with v = (-6, 0, -6) and w=…

A: solution

Q: Q4: Find the corresponding Spherical polar coordinates of the Cartesian coordinates (6,2,5).

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Q: 7. lim vx2 + x + 1 – Vx2 + 1

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Q: Perform the following integration. If a u-substitution is needed, indicate the choice for u. So xe…

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Q: Find the Taylor series for f centered at 9 if p(n)(9) = _(-1)"n! 7"(n + 1) (-1)" (x – 9)" 7" (n + 1)…

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Q: 6. Find y = f(x) given d²y = 5x? + 2 dx2 %3D

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Q: 2. SET-UP the definite integral that will give the area of the region specified using (a) x as the…

A: Area

Q: Solve the differential equation Integrating Factor by Linear Equation: dx + xcoty = ecosy dy

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Q: Solve the problem. 12-64 For what values of t is r(t) = ti+ j continuous? 12 + St O {te D: t#0 and…

A: We have to find out

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 +8 1 lim t+oo\ 5t2 + 6' 8t (?, ?)…

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Q: Find V · (V × F), if F(x, y, z) = e"i+ 3ze'j – 5e"k. V. (V × F) =

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Q: 4. lim (sinx)tanx X0+

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Q: www 1D syppose that a sequence CanZ is definel by the envations az =2 cand anti = following is true…

A: Clearly,

Q: y+12 2.) Find the area bounded by the curve x =: and x 2 (USE VERTICAL AND HORIZONTAL STRIPS)

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Q: II. INDETERMINATE FORMS: Evaluate the limit by employing Theorem 23. f(x) F(x) f'(x) F'(x) lim = lim…

A: To evaluate the given limit of the function.

Q: am confused can you highlight answers please thank u

A: From the original solution the answers are: Intercept: 0, 0 Relative minimum: -5, -110 Relative…

Q: Solve the following differential equations of dy x'y-x'. = y' cos(x). dx

A: Use substitution to reduce the differential equation into linear differential equation.

Q: Evaluate the iterated integral. 7 8 6 | // * +v° + 2²) dx dy dz -6 0 0 / /(x² + x² + z²)dx dy dz i…

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Q: dr J z(x+1)² 14.

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: tanx dx I+x?

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Q: Question 1 Find the centroid of the given region. y-2- A (8/23,76/111) B (5,15) (c (3/22,45/61)…

A: The expression for the centroid is: For the x coordinate of the centroid: x=1A∬xdydx  For the y…

Q: Express the integral as an equivalent integral in which the z-integration is performed first, the…

A: Integral

Q: Find the sum of the first 28 terms of the arithmetic sequence. 36, 44, 52, 60, .. What is the sum of…

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Q: Inx F (x) = So It dt %3D

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Q: 2. Determine the area of the region bounded by the curve y = x3 – x2 – 2x, and а. the x-axis

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Q: Set up (but do not evaluate) an iterated triple integral for the volume of the solid enclosed…

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Q: 3 d : 4me-m2 dy. dm

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Q: Set up a triple integral for the volume of the solid. Do not evaluate the integral. The solid in the…

A: Volume

Q: A forest has a population of cougars and a population of rabbits. Let æ represent the number of…

A: A detailed solution is given below.

Q: Find div F and curl F if F(x, y, z) = 14y°z°i – 10x°z°j – 5xy°k. 35: 6.8 - div F= curl F=

A: We have to find div F and curl F.

Q: Find the limit. NOTE: Enter the answer using round brackets. t? +9 1 lim t+oo 3t2 + 4' 6t = (?, ?)

A: 1/infinity=0 is used

Q: Find curl (2z i + 3x j + 5y k). url(2z i + 3x j + 5y k) = ( i )i + ( )j + ( 3 )k

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Q: Express the integral as an equivalent integral in which the z-integration is performed first, the…

A: Here,  0≤x≤4-yy≤z≤8-y0≤y≤4 To change the order of integration to dx dz dy to dz dy dx

Q: Using Sandwich Theorem 3n? + 1 an = (-1)" n3 – 4 converges to 1 diverges converges to -1 none of…

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