In exercises 1-23 solve the given differential equations: 11. sec2xdy+csc ydx = 0

Q: 1. Evaluate the derivative of f (x) = Vx? – 1, using the following formula. f(x+h)-f(x) a. lim h b. ...

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Q: Show that lim Vn = 1. n-00

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Q: Given f(x) = 2-92+20 what should be assigned to f(4) to make f(x) continuous -4 at z = 4? For those ...

A: To solve this question we need to apply the condition of continuity of a function at a given point.

Q: Find the area of the shaded region. NOTE: Enter the exact answer. y = = +4 A =

A: We have to find the area of the shaded region of the figure given below.  Cleary the shaded region ...

Q: spac characters. * d Compute de y -8 at r =2. y +8

A: Topic:-  derivatives

Q: 2 AHIJ ARST Solve for the value of y. R. y-4

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated axi...

A: Given query is to find the volume of the solid generated.

Q: Use integration by parts to evaluate the integral:

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Q: F. Directional Directive Find Duf (x, y, z) at (2,–1,0) in the direction of the unit vector U parall...

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Q: Investigate the three special functions by performing the following task. Write an a comparison of y...

A: Let's find. 

Q: Which of the following best describes the function below? (3x ifxs2 x if 2<x f (x) =

A: Checking limits:When x approaches to 2 from left side:=limx→2- f(x)=limx→2- 3x2=3(2)2 =12When x app...

Q: of the region bounded by the given curves. * x = 0, y = 0 b. (2,1) с. (-2,1) d. none of the choic

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Q: de spaces in characters. * 4 Find the value of f'(-1) if ƒ (x)=- (3r² – 2.r + Your answer

A: Topic:- derivatives

Q: Trace the curve of the following equations by giving the a. Intercepts b. Symmetry c. Vertical Asymp...

A: Given curve: y=x3-x2-2x+1x-2

Q: A. Consider the function whose graph is shown below. Determine if the function is continuous at the ...

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Q: Using integration by parts, the integral 2 f cot-1 x dx equals: 2 x cot-1x + In|x² + 1| + C - x cot-...

A: Topic = Integration

Q: Trace the curve of the following equations by giving the a. Intercepts done b. Symmetry done c. Vert...

A: Equation of a curve is giveny2=2x4-5x3+3x2+4x-20x2-3x+2

Q: Evaluate the integral, if it exists: lim sinx dx r→+z -r

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Q: DO NOT include spaces in between 10 characters. * Evaluate f'(-2) if ƒ(x) = x* – 5 + x-2 + 4x-4. %3D

A: Solve the function

Q: Using an appropriate substitution, (cos-1 (x) the integral S dx equals: V1-x2 -e(cos- (x) -elcos-1(-...

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Q: The ordinary differential equation x -y = x is a separable equation dy dx O False O True

A: Given query is to find that differential equation is separable or not.

Q: View Policies Current Attempt in Progress Find the volume of the solid that results when the region ...

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Q: inbabitonts, thanks to A rumor, begins to spreaol in a the fart Fhat a member of the population heav...

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Q: fcac) fCre)ニ2x+5

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Q: If f (a) = 3, then if lim f(r) exists, it equals 3. %3D For those who have trouble viewing the Mathe...

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Q: x* dx (9x² + 49) - (92 - - (9x* + 49) +c V9x² + 49 18.

A: This is a problem of integration. Based on the general formula we will solve the integral problem.

Q: Evaluate the indefinite integral sin (2)cos (2)da = 3

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Q: View Policies Current Attempt in Progress Find the area of the shaded region. The image is not to sc...

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Q: etermine if the integral is convergent or divergent. valuate the integral if it is convergent. Suppo...

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Q: t Determine f'(1) if ƒ (t) = log10 %3D t+1

A: Given: - The function is, f(t)=log10tt+1 To determine: - The solution of f'(1).

Q: From the following results, determine whether the function 2x +9, r 9 f(x) = 6. is continuous at = ...

A: Solve for the continuity for the function

Q: The derivative of the function () y = In is: tan x,

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Q: Using Reciprocal Substitution dz For f zV4z+z

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Q: A potato is launched vertically upward with an initial velocity of 124 ft/s from a potato gun at the...

A: Initial velocity is given as 124 ft/sec and the distance is given as function of time s(t). We will ...

Q: For the demand function q= D(p)3D226-p, find the following. a) The elasticity b) The elasticity at p...

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Q: If f(x) = 3 cot ' + 4, then find the value of f'(-1) is.

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Q: How fast does the slope of the curve y= (x²+x+ 1)² change at the point where x=2? The answer is Blan...

A: This question is based on chain rule differentiation.

Q: Find the volumes of the solids generated by revolving the region between y= 4x and y = about a) the ...

A: Solved below

Q: S sin*x cos³ x dx C sin5x sin'x + C 7. sinx sin'x + 5 sin x cos'x + C 7 D sin5x cos'x + C 7. 5

A: We know that ∫xndx=xn+1n+1Also, d(sin(x))dx=cos(x)

Q: And the Inverse function ofr over the glven Interval. Describe the relationship between the graphs. ...

A: f(x)=xx2-9y=xx2-9x2y-x-9y=0(Quadratic equation):comparing with:ax2+bx+c=0roots are:-b±b2-4ac2ahere, ...

Q: d Compute [(2r* + 5)(4x–1] at x=} 2 24 Your answer

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Q: A rectangular box having a square base and open at the top is to have a capacity of 16,823 cubic cen...

A: suppose the side of the box = x cm.height= h cm.Given : Volume  = 16823 cc  

Q: for power substitution method, next step is * . For S(y + 2) /2 – 3y dy - (u² + 2) (2 – 39)")}(3u'du...

A: Find out the correct power substitution. 

Q: Find the area of the triangle with vertices P(1,6, –3), Q(0,0,0) and R(4, 6, 1). NOTE: Enter the era...

A: Solve for the area of triangle with vertices

Q: The graph shown below is f(x) = -3x + 2.lf g(x) = Sốf (t) dt , find g '(-1). %3D %3D X 54 3-2 -1 1 2...

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Q: 2. Express in indicated derivative in terms of the function F(r). Assume that F is differentiable. D...

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Q: why should y>0 ?

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Q: Partial Derivative Let w = exz sin(yz) – ev²cos (xz) Find wx. %3D - Higher Derivatives Let z = (x – ...

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Q: - Find the total area between y = x/3- x and the x-axis for -1 sx< 8. %3D

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Q: r 5x² – 3x + 18 dx aln b - clnd x(9 – x²) 12.

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