What is the value of lim ? A-) B-) C-) 00 -1 D-)

Q: Find the standard form of the complex number 6(cos 17°26' + isin 17°26'). Round values to the neares...

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Q: Find a formula for the described function and state itsdomain. A rectangle has perimeter 20 m. Expre...

A: Let, length =x and width= y So, the perimeter= 2(x+y)=20 Or, x+y=10 Or, y=10-x        

Q: You and a companion are about to drive a twisty stretch of dirt road in a car whose speedometer work...

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Q: I’ve noticed that in mathematics, one topic often leads logically to a new topic:Determine whether t...

A: Given: The statement is given below,

Q: Use substitution to determine whether the given x-value is a solution of the equation: cos 2x/3 = -1...

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Q: We return to the Oculus Rift, described in the section opener, a virtual reality headset that enable...

A: " Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for ...

Q: 71-74 - Finding a Polynomial from a Graph Find the polyno- mial of the specified degree whose graph ...

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Q: find an equation for the plane through pointsP, Q, and R. P(1, -1, 2), Q(2, 1, 3), R(-1, 2, -1)

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Q: Factor and simplify : (x + 3)1/2 - (x + 3)3/2

A: We factor out the lower exponent  

Q: Find the first and second derivative if y=4-2x-x-3

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Q: Verify the identity: tan t + cos t/(1 + sin t) = sec t

A: To simplify the fraction, multiply it by (1-sint)  

Q: Trigonometric integrals Evaluate the following integrals. ∫sin2 3x dx

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Q: Evaluate: log3 (7√3).

A: We write the inner expression using an exponent.   

Q: sin y Evaluate, lim (x.y)(3,0) y

A: To find  Substituting the limits in the given function we get, Which is an indeterminate form.

Q: ■ Find the limit.

A: We divide the numerator and denominator by x4

Q: Condense the expression to the logarithm of a single quantity. 8[In z + In(z + 9)] – 4 In(z - 9)

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Q: Consider the position function ​s(t)=−4.9t^2+34t+16. Complete the following table with the appropria...

A: Given:

Q: Find the standard form of the equation of the hyperbola with the given characteristics Center: (0, 0...

A: Given that the center=(h,k)=(0,0) a=Distance between center and vertex= distance between (0,0) and (...

Q: Consider the function f(x) = 1/3x3 .                                                                ...

A: f(x) = 1/3x3  We need to do the following:  (a) Use a graphing utility to graph the function and est...

Q: the graph of ƒ' is given. Assume that ƒ iscontinuous, and determine the x-values corresponding to lo...

A: Local maximum occurs if f(x) goes from increasing to decreasing. That means f'(x) goes from positive...

Q: In the figure below, a = 9, b= 12, and e= 14. Use this information to solve the parallelogram for 0....

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Q: Find the volume under the parabolic cylinder z = x2 above the region enclosed by the parabola y = 6 ...

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Q: Let v be represented by the directed line segment from (0, 0) to (3, 2), and let u be represented by...

A: Given that, v is a line segment from (0, 0) to (3, 2) So, v=(3,2) - (0,0)= (3,2)   Given that, u is ...

Q: Find the direction cosines and angles of u = 7i + j − k and show that                 cos2    + cos2...

A: Direction ratio of u = 7i + j − k is (7,1,-1) So the direction cosine is:  

Q: Three forces with magnitudes of 400 newtons, 280 newtons, and 350 newtons act on an object at angles...

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Q: find an appropriate graphing software viewing windowfor the given function and use it to display tha...

A: We will use a graphing calculator to graph the function  First I am taking [-5,5]x[-5,5] viewing wi...

Q: Computing directional derivatives Compute the gradient of the following functions, evaluate it at th...

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Q: Calculus Question

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Q: Let f(1) = 2. lim7(x)-v2 = V2 and g(x)=arctan(xf(x)) . Then g'(1) =? x-1 1 2 3 3

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Q: A second derivative Findd2y/dx2 if x2 + y2 = 1.

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Q: Use properties of logarithms to condense the logarithmic expression, 1/3(log4 x - log4 y). Write the...

A: Given logarithmic expression:

Q: Find the curvature and radius of curvature of the plane curve at the given value of x. y = xn, x = 1...

A: Given ,  

Q: Let A be R given 3 x3 matrix by over 2. -1 Foctorize A in form U is n upper trionguler the LU where ...

A: Given matrix

Q: he 3x3 matrix A siven below. 1 2 A - 1 2. the determinont of A (Do not Sarrus n Use

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Q: Two integration approaches Evaluate ∫cos (ln x) dx two different ways:a. Use tables after first usin...

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Q: Evaluate and simplify y'. y = tan-lV? - 1

A: Given,  

Q: Differentiate the following v=(1-t)(1+t2)-1

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Q: Determine the point(s) at which the graph of the function has a horizontal tangent line. f(x) = x2/(...

A: Now slope of the tangent line is the derivative of the given function. So differentiating f(x) with ...

Q: Suppose the functions ƒ(x) and g(x) are defined for all x and thatlimx→0 ƒ(x) = 1/2 and limx→0 g(x) ...

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Q: When the Second Derivative Test Fails Analyze the critical points off (x, y) = 3xy 2 - x 3 .

A: Given Data The function is f(x,y)=3xy²-xᶟ.   Differentiate the function f(x,y)=3xy²-xᶟ with respect ...

Q: Calculus Question

A: The given function can be re-written as,

Q: The position of an object moving along a line is given by the function s(t) = – 6t + 36t. Find the a...

A: Given position vector

Q: Evaluate the definite integral. Use a graphing utility to verify your result.

A: Given   

Q: Solve absolute value inequality : 5 l2x + 1l - 3 ≥ 9

A: First we solve for |2x+1|

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.