How long is the radius of the circle with center at (-4,5) and tangent to the y- axis?

Q: Evaluate the following integrals using substitution(s) 1. √ 2x(x² + 1) ²³ dx 2. [4e³x dx 3. [(1 +…

A: To evaluate : ∫2xx2+123dx ; ∫4e5x ; ∫1+cosx2dx We have to evaluate the above mentioned integrals…

Q: Find the exact length of the curve: y = 10 + 1 6x3, 2 ≤x≤5.

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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: Consider the function f(x) = x² − 72x² + 5, −5 ≤ x ≤ 13. This function has an absolute minimum value…

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Q: Solve the differential equation = y²ex dy dx

A: Given, dydx=y2ex

Q: Find the following using the table below. x 1 f(x) 3 f'(x) 2 2 3 4 2 4 1 4 1 3 g(x) 4 3 1 2 g'(x) 2…

A: Given that hx=fx.gxh'x=f'x.gx+fx.g'xh'2=f'2.g2+f2.g'2h'2=4×3+2×3h'2=12+6h'2=18

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: Sketch the level curve of the function z(x, y) = x² + y² for c = 81.

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Q: Write the particular solution of the first order linear differential equation dy + (ytanx - cosx) dx…

A: Solve the following

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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: (b) Illustrate part (a) by graphing the curve and the tangent line on a common screen. (Graph the…

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Q: Which one of the following could be the graph of the polar function r = sin 30 ? 1. 011 2.

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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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: Problem 4. Find the area bounded by the curves y = e, y = e³x and the line x = 1.

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Q: 15-18 Verify that the function satisfies the hypotheses of the Mean Value Theorem on the given…

A: We need to find values of c.

Q: Differentiate. f(x) X x+ C X

A: Topic -Derivative of a function We are given, f(x)=xx+cxwe know thatddxuv=vu'-uv'v2    [ u and v are…

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: Let f(x)=x²-3x - 2380, x>0.75. Find the value of df-1 dx df-1 At x = 0, dx (Type an exact answer in…

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Q: y-values 9 8+ 7+ 6- 4 3- 2 1 2 3 x-values 4 5 y-values 4- 3 2- 14 h(x) 1 2 3 x-values 5

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Q: Solve (√x+x)=√y+y Select one: O a. y (c(1+√x) + 1)² O b. y = (c(1+√x)-1)² O cy=(-c(1 + √x) + 1)² O…

A: The given equation is; [sqrt(x)+x]dy/dx=sqrt(y)+y.

Q: Estimate using the linearization L(x) of f(x)=√√ at a = at a = 49. (Use decimal notation. Give your…

A: Given that , fx=1x Estimate 152 using the linearization Lx of fx at a=49.

Q: Given the demand function D(p)=√√375 - 4p, How many products will be sold if the price is $2? Find…

A: Let's find elasticity Function and elasticity at price $2.

Q: Question 2 Let f(x, y) = 5e¹* sin(3y) af д х af dy =

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

A: We need to solve D.E.

Q: pr 1) Given the position function s(t) = 2+²³ - 2 + ² - 60t + 3₁ where it is in seconds and s is in…

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Q: 5-8 The graph of a function f is shown. Does f satisfy the hypotheses of the Mean Value Theorem on…

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Q: Find the domain of the vector-valued functions: R(t) = √t² - 9 î+ In]t − 3] ƒ + (t² + 2t − 8) k B.…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Late 73. Use Definition 6 to prove that lim —— 0.

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Q: a Th

A: Given s(t) =2t3-92t2 -60t +3the total distance travell during the first 6 sec = d

Q: Find the derivative of f(x) = 5√√x - - 7 28 Type your answer without fractional or negative…

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Q: 5. f3-* dx 6. S √ √√9-t² 7. S- 1-e²t dt dt

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Q: 1 Evaluate: ſ¹_xeª dî 0 -∞ O None of these ∞

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Q: Consider the following function. g(x) = x³ + 3x² - 5 on [-3, 1]

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Q: he given curve is rotated about the y-axis. Find the area of the resulti y = √x, 4≤ y ≤ 5

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Q: The

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Q: A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 64°C, it…

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Q: Use the total differential to approximate the change in a function of two variables. Find the…

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = x² + xy + 2x +…

A: Given functionnf(x,y)=x2+xy+2x+3y+2

Q: Write the particular solution of the first order linear differential equation dy + (ytanx - cosx)dx…

A: We need to solve D.E.

Q: Gravel is being dumped from a conveyor belt at a rate of 40 ft3/min, and its coarseness is such that…

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Q: Find the parametric equation for the line where the planes 4x + 6y + 2z 12 and 2x - y + z = 2…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. 1 3x -X²³- + 4 y…

A: NOTE: Refresh your page if you can't see any equations. . the given interval is  so the lower and…

Q: 2x+y=1" H...

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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: ду a) Әх дz Әх

A: Given query is to find the Indicated partial derivative.

Q: 8 1. r = sin 20 2. r = cos 20 3. r = sin 40 4. r = cos 40 5. r = sin 30 6. rcos 30

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = x² - 6xy + y² +…

A: f(x,y ) = x2 - 6xy +y2+16y +3  First we will find critical poits by partial derivative and putting…

Q: Find the general solution to the given equation 2y" + y − 3y = 0

A: The objective of the question is evaluate the given differential equations.