In 2x

Q: Determine the one-sided limits numerically or graphically. If infinite, state whether the one-sided ...

A: To evaluate: limx→0+x-sinxx3. We know that, x=-xif x<0xif x≥0 Therefore,  limx→0+x-sinxx3=limx→0x...

Q: r = cos θ.Test for symmetry with respect to:a. the polar axis. b. the line θ =π/2. c. the pole.

A:   Test for Symmetry about polar-axis: Replace ( r , θ) with ( r , -θ ) simplify the equation. If the...

Q: Use properties of logarithms to expand the logarithmic expression logb(x3y/z2) as much as possible. ...

A: Consider the following:Product Rule:logxy=logx+logyQuotient Rule:logxy=logx−logyLog of power:logxy=y...

Q: Differentiate the function.

A: We have to differentiate the function: y=ek tanx We know the formula of differentiation, dxndx=nxn-1...

Q: Calculating derivatives Find the derivative of the followingfunctions. y = 5x2 + cos x

A: Given function,  y = f(x) = 5x2 + cos x To find the derivative of the function. 

Q: Let f(x) = x2 - x - 4 and g(x) = 2x - 6, Find Find (g - f)(x).

A: the function given to us is f(x) = x2 - x - 4 and g(x) = 2x - 6  we have to find the value of (g - f...

Q: Arc length by calculator a. Write and simplify the integral that gives the arc length of the fol- lo...

A: Consider the given: x=y-23≤y≤4 Find the arc length: Lengthofthecurve,L=∫abf'y2+1dyx=fy=y-2f'y=12y-2

Q: Use the following graph to identify the points on the interval [a, b] at which local and absolute ex...

A: Given: The graph of function y=gx on the interval x∈a,b as To determine: The point in the interval ...

Q: Explain why each of the following integrals is improper.

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If y...

Q: Differentiate the function using one or more of the differentiation rules. y= (2x+ 5)10 y' =D %3D

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Q: In Exercises 31–36, find a general formula for f®)(x).

A: From the given data

Q: Integrating derivatives Use integration by parts to show that if f' is continuous on [a, b], then (x...

A: Given that f' is continuous on [a, b]. Let us consider: Let f(x) be the first function and f'(x) be...

Q: Find the length and the cuur vature of the Smooth eurve rCt) = (snt)i t(5 cost); + (sint)K from o to...

A: Given curve is rt→=sinti+2costj+sintk and given t from 0 to 2π We have to find the length and curvat...

Q: A car is moving at 60 mi/hr (88 ft/s) on a straight road when thedriver steps on the brake pedal and...

A: Given: u=88 feetsec, a=-10 fts2, t=3 seconds we know that s=ut+12at2                                ...

Q: Find the sums of the series

A: The given infinite series is: We see that,  

Q: Fill in the blank/s: The equation r = 4sin θ can be converted to a rectangular equation by _______ b...

A: we know that the equation r=4sinθ can be converted to a rectangular equation by multiply both sides ...

Q: Lighthouse B is 7 miles west of lighthouse A. A boat leaves A and sails 5 miles. At this time, it is...

A:  Definition used -        Cosine rule -                           cosA=b2+c2-a22bc                  ...

Q: Find the angle between the vectors u = 3i + 4j, v = −2j + 3k (a) in radians and (b) in degrees.

A: Our Aim is to find the angle between the vectors given below:- u=3i⇀+4j⇀ and v=-2i⇀+3k⇀(a) in radian...

Q: (a). Determine whether the following function f(x) = -5z+6 when a 3 is continuous at x = 3. Justify...

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Q: For what value(s) of x does the graph of 1 f(x) = – x² +3 have a .2 - horizontal tangent?

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Q: Assume that ƒ is an even function, g is an odd function, and bothƒ and g are defined on the entire r...

A: ƒ is an even function, g is an odd function, and both ƒ and g are defined on the entire real line -∞...

Q: Find the areas of the triangles whose vertices are given A(-6, 0), B(10, -5), C(-2, 4)

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Q: When an equation is said to be nonhomogeneous ?

A: For a linear system of equation say - Ax = bThe equation is called homogeneous if b=0.The equation i...

Q: 4x Find the linearization L(x,y) of the function f(x,y) = e cos (5y) at the points (0,0) and 0,

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Q: Solve by the method of your choice. Identify systems with no solution and systems with infinitely ma...

A: Given, 4x=3y+8or4x-3y=8        .......12x=-14+5yor2x-5y=-14        ......2

Q: Graph the function h(x) = (1/3)x by making a table of coordinates. If applicable, use a graphing uti...

A: Solution:-  The given function is  h(x)=13x

Q: Evaluate the integral.

A: We have to evaluate the integral: ∫x3xx2+3y2dy Here we have to integrate with respect to y so x2 wil...

Q: Evaluate using the Squee ze Theorem.

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Q: Differentiate the function.  z =A / y 10  + B cos y

A: Given function:                     z=Ay10+Bcos y Here we know that:                     A and B are...

Q: Two sides and an angle (SSA) of a triangle are given a = 42.1, c = 37, A = 112°. Determine whether t...

A: a=42.1,  c=37,  A=112° By using Sine rule, we have asinA=csinC⇒42.1sin112°=37sinC⇒sinC=37·sin112°42....

Q: 51. In (/2+1)

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Q: Solve 2 order DE y" - 12y' + 35 = 0

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Q: Find the gradient of the function w = x tan( y + z), at the given point (4, 3, −1)

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