Use the Comparison Theorem to determine whether the integral is convergent or divergent. convergent Odivergent x√√x dx

Q: If it is exact find a function F(x,y) whose differential, dF(x, y) is the left hand side of the…

A: A differential equation of the form M(x,y)dx+N(x,y)dy=0 is exact iff My(x,y)=Nx(x,y)   Given…

Q: 1. Find the equation of the tangent line to y- PHI at z-2. Circle your final answer.

A: Given y=1x2+1

Q: y = 5x³

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Q: Kindly help me solve this question,show full and clean solution thank you.. Note: Lesson about…

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Q: Find Cross Product Find the cross product u x 7 where u = 6i +8j +8k and 7 = 6i +8j +8k and 7 = (4,…

A: Topic = Vector

Q: 26. √100.5

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Q: Calculate Dot Product (2, 4, 5) and 6 Let a = Find a . b. (5, — 1, — 5).

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Q: Find by implicit differentiation. dy dx dy dx = xey = x - y

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Q: x50 - 1 69. lim x→1 x − 1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 12. Find the area of the surface generated by rotating the curve y = √√x the y-axis. Do not…

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Q: 3. Find the volume of the solid obtained by rotating the region bounded by y ==x², x=2, and y = 0…

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Q: m If a rock is thrown upward on an exoplanet of a nearby star with initial velocity of 25- S meters…

A: NOTE: Refresh your page if you can't see any equations. . the position function of the rock after t…

Q: Write Equations of a Line in Space Find the point at which the line 7 (t) = (1, 3, 8) + t( − 2, 5,…

A: Given form of line is r→t=1,3,8+t-2,5,6 We need to find the point where the given line intersect xz…

Q: Jse logarithmic differentiation to find the derivative of the f 3x y =(√x) ³x ''(x) =

A: We need to find out the differentiation of the function.

Q: = Find the absolute maximum and minimum of ƒ(x, y) x² + y² ≤ 25. Please show your answers to at…

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Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A: The diameter of the hemisphere is 45 meters. The volume of the hemisphere = V(r)=23πr3

Q: Question 9 The height y (in feet) of a ball thrown by a child is 1 2 -x² + 4x + 5 y = 12 where is…

A: For the b part we use y'=0 to find the critical points and then use second derivative test to show…

Q: 2= (x³ + cosy + ! )dy = -syx² / dx X X2

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Q: Given y = x³ 11 Bac 2³/27x² + 2x, find dy dx H Use the math type b

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Q: Find Cross Product Let à = (3, – 3, — 4) and 6 = ( − 2, – 3, 5). Find à x 6. V

A: Given query is to find indicated cross product.

Q: A cylindrical tank of height 150 cm is full of oil which started leaking out from a small hole at…

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Q: Find the curvature K of the curve, where s is the arc length parameter. r(0) = (1 - V✓⁄² s)i - (1 –…

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Q: Given_lim_f(x) = 1 and lim_g(x) = 3, evaluate: x →6 9+x lim ( − 3f(x) + 4g(x)) = x →6

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Q: Please graph the ellipse (x+3)^2/4 + (y-4)^2/16 = 1 Please name the coordinates of the center,…

A: The given equation of the ellipse:x+324+y-4216=1which can be written as:x+3222+y-4242=1

Q: Calculate the derivative of the function: f(x) = ln((x+2)5x³(x - 5)6) Note that this is not quite…

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Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region…

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Q: Directions: Consider the following function f(x). Use the logarithmic laws to rewrite this function…

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Q: A farmer has 100 feet of fence with which he plans to enclose a rectangular pen along one side of…

A: Given query is to find the dimenyfor maximum area.

Q: A $360,000 building depreciates over time. The value y of the building after x months of use is…

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Q: At x = -2 the function y = +2 true 5 is differentiable but not continuous falco

A: This question can be solved using the concept of continuity and differentiability

Q: A company buys a machine for $475,000 that depreciates at a rate of 30% per year. Find a formula for…

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Q: ind the linearization at x = a. 14x² x - 3' Jse symbolic notation and fractions where needed.) g(x)…

A: We have to find the linearisation

Q: Evaluate f O 3√x+1 2 (x+1)² 2 O 3(x+1)² 2 dx 1+ 3√x+1 +3√x+1+C +√x+1 − 3 ln|√x+1+1| + C + 3√x + 1 +…

A: Given, ∫11+x+13dx

Q: If it is exact find a function F(x,y) whose differential, dF(x, y) is the left hand side of the…

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Q: If it is exact find a function F(x, y) whose differential, dF(x, y) gives the differential equation.…

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Q: For a certain automobile, M(x)=-015x² +1.43x-7.6, 30s x s60, represents the miles per gallon…

A: Given, M(x)=-.015x2+1.43x-7.6

Q: Evaluate the following integral, where R is bounded by x=2, y=3x+3, and y=-x-1. SS ² DA R Sy²dA=…

A: NOTE: Refresh your page if you can't see any equations. . the given region is

Q: Evaluate the definite integral. 6 L₁³25 1 25+ (x+4)² dx

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Q: 1+r 24. lim xxx² + 1 8118

A: Solution is given below:

Q: Human hair from a grave in Africa proved to have only 92% of the carbon 14 of living tissue. When…

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Q: e) y = √x4+7x

A: Solve for the derivative

Q: For each function in Exercises 7-28, (a) give the coordinates of any critical points and classify…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: For the given function, identify any critical points, and use the second derivative test to…

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Q: A roast turkey is removed from an oven when its temperature has reached 185°F and is placed on a…

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Q: Given the demand function D(p) = 400 - 2p², Find the Elasticity function E(p) Find the Elasticity of…

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Q: Consider the region given by x < 5, -2x+y≥ 2, x+2y-z≤ 9, x, y, z 20 (a) Formulate the problem using…

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Q: 4. y" -10y +34y = -cos3x

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Q: Find all points on the curve 5xy² - 10x²y = 5 where it has a horizontal tangent line. Write each…

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Q: 5-6 The graph of the derivative f' of a function f is shown (a) On what intervals is f increasing?…

A: Topic- Application of derivatives We are given graph of f'(x) and we know that f(x) is increasing…

Q: If g(x) = (t(x)) / (e3x), find and simplify g' (x)

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