2.6.86 Question Help Find the limit. (Hint: Try multiplying and dividing by the conjugate.) (x+ 16 x+36) lim Xo0 (x16+36 lim = Xoo (Simplify your answer.)

Q: Determine the values of x for which f(x) is discontinuous.

A: For x<=3, f(x)=3x-12 is continuous

Q: x+3 over x3 -2x2+x Solve decomposition of partial fractions

A: Given,

Q: Find the points on the curve y = 2x3 3x2 - 12x 4 where the tangent line is horizontal. (х, у) (small...

A: Find the points on the curve where the tangent line is horizontal as follows.The given curve is y = ...

Q: If sin(0) 0, find the value of tan(0) when sec(0) = 4 (Give an exact answer. Use symbolic notation a...

A: Given,

Q: Let x)=x2 2 (x - 3)2 if x z 1 if x < 1 (a) Find the following limits. (If an answer does not exist, ...

A: Given information:The given piecewise function is

Q: lim x→∞ (sqrt(9x^2+x)-3x)

A: Multiply the numerator and denominator by the conjugate. Please see the white board.

Q: #29

A: Consider the given integration.

Q: #31

A: Apply chain rule and derive first cos first and second cos goes for derivative again for chain rule

Q: p(t)=(100e^t)/e^t +100 Describe the size of a population at time t Find the inverse function and exp...

A: First switch t and p.

Q: Find the average rate of change of the function between the given values of x. y = −5x − x2 between...

A: The given function y and the values of x between which the average rate of change of y is to be comp...

Q: Suppose a company has fixed costs of $3600 and variable costs per unit of  3/4x + 1370 dollars,  whe...

A: Given variable cost per unit is 3/4x + 1370 dollars.Then variable cost for x unit is 3/4x2 + 1370x d...

Q: For the vectors u = (-2,2, -1) and v (-2,1, 3), expressu as the sum u =p n, where p is parallel to v...

A: To find the orthogonal decomposition of the vector u along and perpendicular to v

Q: 53-56 Use the Intermediate Value Theorem to show that there is a root of the given equation in the s...

A: We can prove that f(x) has a root between (a, b) if we can shown that f(a) and f(b) are different in...

Q: Problem 2 in attached image

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3.Please resubmit the question ...

Q: 1 X

A: Consider the limit

Q: please answer all the parts of question 2

A: Question No. 2Part aGiven,

Q: For the functions f(x)=x+2,  g(x)=2x2-3x-2, find (g o f)(x)

A: Consider the given functions.

Q: Can you help me step by step?

A: Given,

Q: Calculate the average rate of change of the given function over the given interval. Specify the unit...

A: Consider the given table of the function

Q: I'm struggling with understanding how getting an answer for a problem. 4/3 (-square root of 11/2)^3 ...

A: Given expression is:Simplifying the expression using PEMDAS rule.Simplifying the exponent:The denomi...

Q: Find the volume of (C) using the disk or washer method.

A: Let R be the region under the curve x = (squareroot of 5) y2 between y = -1 and y = 1. Since the cur...

Q: Complete the table below for the equation 6y+24x=24. Then use two of the ordered pairs to graph the ...

A: First solve the equation for y.6y+24x=24Or, 6y=24-24xOr, y=(24-24x)/6Or, y=4-4x

Q: Can you please help me step by step with this problem?

A:

Q: Solve the equation for all solutions in the interval [0, 27) 1 cos(3x) 2 Express each solution in ra...

A: We know that value of cosine of an angle is negative in second and fourth quadrant and cos(pi/3)=1/2...

Q: Find the average rate of change of f(x) = 5x - 6 on the interval [3, a]. Your answer will be an expr...

A: Given: -

Q: solve for t v = -gt +v0

A: Consider the given equation. 

Q: Evaluate the function f(x) at the given numbers (correct to six decimal places) Зе^ - 3- Зх x x2 1, ...

A: Evaluate the given function as follows.

Q: How do you find the domain and range for f(x,y) = ln(x+y)?

A: The given function:

Q: Evaluate the function at the indicated values. (If an answer is undefined, enter UNDEFINED.) f(x) =...

A: The given function is

Q: 1- sin2x/1+cos x=cos x. Verify the identity

A: The given identity:

Q: Find the directional derivative of f(x, y) = x2y3 + xy2 in the direction ~v =&lt; −3, 7 &gt; at the ...

A: f(x, y) = x2y3 + xy2 Please see the white board for the partial derivatives at the point (-1, 2)Henc...

Q: i am having trouble with this one.

A: Consider the given table:

Q: It is often difficult to evaluate the quality of products that undergo a ripening or maturation proc...

A: Found first derivative of M(v).M'(v)= 0.0586432v-102.12

Q: Can you please help me step by step with this problem?

A:

Q: 5. For f(x, y) 2x +y v 3i-4j find the rate of change of fat (1,2,6) in the direction of the vector =...

A: rate of change of the function at the given point along the given direction

Q: Solve 51

A: Consider the given function and closed interval.

Q: 0, the distance it has travelled after t seconds is s(t) = 4.9t2 meters. When a ball is dropped from...

A: Distance travelled in interval [1,1.5]  is the difference travelled in 1.5 s and distance travellled...

Q: Find the volume V of the described solid S. A frustum of a right circular cone with height h, lower ...

A: The volume of the required frustum can be obtained as follows.Draw the frustum as shown below.

Q: Set up an integral for the volume of the solid obtained by rotating the region bounded by the given ...

A:

Q: 11.4.23 Question Help 8 a. For f(X)Y, ind an equation for the secant line through the points where x...

A: (a) Given

Q: The function f is defined as follows. f(x)=x f(x)=4   if x≠0 if x=0   ​(a) Find the doma...

A: Hello there, Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the q...

Q: Can you please help me step by step with this problem?

A: Firstly, let us name the points as shown below:

Q: lim (x approaches 0) of [sin(5x)cos(6x)]/(x)

A:

Q: Can i get help with this problem step by step?

A: The given function is

Q: Can you please help me step by step with this problem?

A: Draw the curve y = 5x­2/3–x as shown in below figure.

Q: Find the angle between 0 and 2 that is equivalent to п. (Use symbolic notation and fractions where n...

A: We first write 17/2 as mixed fraction.17/2= 8 1/2

Q: Find two vectors parallel to v of the given length. v PQ with P(1,7,1) and Q(0,2,5); length 84 The v...

A: From the given information, two vectors parallel to v and its length is 84.

Q: Find the equation of the circle shown in the figure.

A: Given,

Q: Name HW Math 115 Fall 2019 Group # Problem 4- Revisiting Composition of Functions: Refer to the 3 fu...

A: Here the given 3 functions are f(x) = 2 x - 3 , g(x) = |x+2| - 7 and h(x) = 7x+4-1. In part (a) Clas...

Q: The point P(9, -3) lies on the curve y 3/(8 x) (a) If Q is the point (x, 3/(8 - x)), use your calcul...

A: To estimate the slope of the tangent and write down its equation