f lim [f(x) + g(x)] = 7 and lim g(x) = 10 find the following. %3D %3D x→2 (a) lim f(x) x→2 -3 lim, {tfx)1? – [g(x)]?} (b) x→2 109 3g(x) (c) lim x→2 f(x) – g(x) -30/13

Q: Consider the following. y =  1 − 2x2 x4 − 2x2 + 3 Let u(x) = 1 − 2x2 and v(x) = x4 − 2x2 ...

A:

Q: True or False: A double integral R f(x,y) dA might be positive or negative, but a triple integral ST...

A: A triple integral can be negative. For example, let Then,

Q: To convert radians to degrees, we multiply by _______.

A: To convert radians to degrees:     π radian = 180o =>   1 radian = 180o/π   =>   1 radian = (1...

Q: Use the graph of each function to identify its domain and its range.

A:

Q: \sum_{n=1}^{=} \frac{\sin 4 n}{4^{n}}

A:

Q: Please help with Worksheet 15.5 #2. Thanks!

A:  

Q: Without using any tech, put these radians in increasing order  sin(1), sin(2), sin(3), sin(4)  Show ...

A:

Q: Do the curves ri(t) = (t² + 3, t+1, t² – 5) and rž(s) = (4s, 2s – 2, s + 1) intersect? If so, at whi...

A:

Q: See attached

A:

Q: Find the equation of the plane whose passes through the point (1,2,3) and is parallel to the plane 2...

A: Note that, Parallel planes have the same normal vector.

Q: See attched

A: Given that Differentiating both sides with respect to x, we get

Q: Find an angle between 0 and 2pai that is coterminal with the given angle.  -5pi/3

A: Angle is,

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the functi...

A: To find its absolute extrema if it exists on the domain [-9,10]

Q: In 3 e'dt 0 ve Ve2t+4

A:

Q: Find the values of x for which the function is continuous. f(x)=x3-6x2+x-3 all real numbers x > 0...

A:

Q: Calculus Question

A: Given

Q: For each of the following integrals find an appropriate trigonometric substitution of the form a f(t...

A:

Q: The measure of an angle in standard position is given. Find two positive angles and two negative ang...

A:

Q: Calc 3 Question   Section 14.2

A:

Q: Find the volume of the solid bounded by y = x² , x = y° , z = x + y + 15, and z = 0.

A:

Q: Suppose the functions ƒ(x) and g(x) are defined for all x and that

A: It is given that the function g(x) is defined for all values of x. (5) Since, and It is possible w...

Q: In Exercises 37–40, find the center, foci, vertices, and eccentricity of the hyperbola, and sketch i...

A:

Q: Find the length s of the arc that subtends a central angle of measure 40degree in a circle of radius...

A:

Q: Define the inverse sine function, the inverse cosine function, and the inverse tangent function.

A:  

Q: Evaluate the indefinite integral using U-Substitution and Partial Fraction Decomposition. sec2(t) dt...

A:

Q: f(x)= (1000 +x)-1/3 ; a=0; f(-0.1) Write an equation on the line that represents the linear appoxima...

A:

Q: sketch andl eualuate the idouble integral 6. Fexp

A: We need to sketch evaluate the given double integral.

Q: Determine whether the integral  integral  1 to infinity (1/x) dx is convergent or divergent

A: We will use the fact that  

Q: Find the antiderivative of  (3x^2+2)/(3x^2+.6x)

A:

Q: Solve the triangle below

A:

Q: Calculus Question

A:

Q: use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integrals for ...

A:

Q: There is something wrong with my graphing utility because it is not displaying numbers along the x- ...

A:

Q: Find the derivative of  f(w)=2ln(w)+12.   Enclose arguments of functions, numerators, and denominato...

A:

Q: is f (x) continuous at x = 10 Answer yes or no and explain why.  See attachment

A:

Q: Find the sum of the series $\Sigma_{n=1}^{\infty} 1 / n^{5}$ correct to three decimal phoces.

A: Given: Find the sum of the series up to three decimal places.

Q: A set of ordered pairs in which each member of the set of first components corresponds to exactly on...

A:

Q: Use f(x) = 5x – 4 and g(x) = 2 – x2 to evaluate the expression. (a) (f. A(-1) (b) (g . g)(-1)

A:

Q: Find the products  (4x2y3)(-3a2x3)

A:

Q: Evaluate the definite integral. "ę54 xp X/ In(x)

A:

Q: Let (picture)

A: (c) Find the function f(x) from the inverse of the function.

Q: Evaluate the function g(x) = x2 + 2x + 3 at the given values of the independent variable a. g(-1) b....

A:

Q: use the chain rule to find zこx2xy-2, X=e' 2$+t ト

A:

Q: If the $n$ th partial sum of a series $\sum_{n=1}^{\infty} a_{n}$ is $s_{n}=3-n 2^{-n}$ find $a_{n}$...

A:

Q: Find the radius r of the circle if an arc of length 20 cm on the circle subtends a central angle of ...

A:

Q: What two positive real numbers whose product is 11 & have the smallest possible​ sum?

A:

Q: Please help with Woeksheet 15.4 #2. Thanks!

A:  

Q: the Pollowing D-E Solve +4Cy -1)x %3D

A:

Q: Find the polar coordinates, 0 ≤ θ < 2π and r≤ 0, of thefollowing points given in Cartesian coordi...

A:

Q: The reaction R to an injection of a drug is related to the dosage x (in milligrams) according to R(...

A: Since R(x) is a product of two functions, we can find the derivative by using the product Rule.  

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.