Find the limit , if it exists:(Do not use L'Hospital's rule) 16 lim 2→16 16 Note: Give the exact answer but not the decimal approximation(for example, write 4/5 istead of 0.8). 16 lim 2-16 16 !!

Q: 4

A:

Q: What is the equation of the directrix of the parabola X+2x+4y-27=0 2

A:

Q: Find the unit tangent vector at the indicated point of the vector function r(t)=e^(18t) cos t i+e^(1...

A:

Q: Find a parametrization of the ellipse centered at the origin in the xy-plane that has major diameter...

A:

Q: Median Home Prices The median home price in a certain country over the period January 2010-January 2...

A: Given:- Median Home Prices The median home price in a certain country over the period January 2010-J...

Q: Write the exponential equation in logarithmic form. For example, the logarithmic form of 2 8 is log,...

A:

Q: The function e* (x² – 1) is equivalent to the series: Select the correct response: 19 - x³ + -x' + 1...

A:

Q: solve the second order differential equation ; y''+4y'+5y=8xsinx

A:

Q: Find the horizontal asymptote(s) of the function p(x) f (2) = Va(2) where p (г) — 6а2 — а — 2 and g ...

A:

Q: Consider the function as representing the value of an ounce of palladium in U.S. dollars as a functi...

A:

Q: (5 + 4) + 6 = 5+ (4 + 6) illustrates the property of addition.

A: This question is related to algebra.

Q: rectangular parallelepiped with an altitude of 10 cm have its width decreasing by 2 cm/min and lengt...

A: Topic:- application of derivatives

Q: 10 dS (3t2-12t-15)dt %3D

A:

Q: QUESTION 4 Given f(x) = 8x3 + 2x. Estimate the value of f(2.01) using differential.

A: Given that: f(x)=8x3+2x

Q: The distance of a car from the drivers home after x nours is given by the expression D (x) 2x2 + 20 ...

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Find the volume V obtained by rotating the region bounded by the curves about the given axis. y = 5 ...

A:

Q: Find the parametric equations for the tangent line to the curve x=t^2−1,y=t^4+1,z=t^4 at the point (...

A: Given: x=t2-1, y=t4+1, z=t4 Point 8, 82, 81, is for t=3 as you can see substituting it in the three ...

Q: 11. Scientists can determine the age of ancient objects by the method of radiocarbon dating. The bom...

A:

Q: the given expression : x^2 - 4x + 6 is equal to. SUBMIT YOUR SOLUTION none of the choices (2x - 2)^2...

A:

Q: (1-))csc²( 1– y)dy

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute  ............

Q: 4 – 2x dx. x3 + 2x2

A:

Q: Let   f(x, y) = √y - 2x.              NOTE: The y - 2x is all under the square root! - What is the...

A: As per the instruction, we will answer only the first one. Given f(x, y) = √y - 2x. So, domain for s...

Q: y'+ 3 y = 4 x y(0)= 3 Y(x)=|

A: We can solve the initial value problem as below.

Q: Compute the resulting error in the function f (x) = x³ for value x = 2.38 with an error Ax = 0.005.

A:

Q: 3. Construct a table of values to investigate the following limits: 10 a. lim T→3 x – 2 10 b. lim T→...

A:

Q: onsider the ellipse E in the xy-plane defined by the equation ax2 + y2 = 1 where a is positive. (1)...

A:

Q: Find the projection of b = 5i – k onto à = i+ 2j+ 3k. %3D

A: We have to find the projection of →b on →a

Q: Consider the triangle formed by joining the points (0, 0), (A, B) and (C, 0) as depicted below. (A, ...

A: NOTE: Refresh your page if you can't see any equations. .

Q: 1. Using tables of values, determine the limits of the following. (a) lim (a) (b) lim)2x) (c) lim (-...

A: This question is based on Limits .

Q: A. Find the differential equation: (1) whose general solution is y = c,e-2x + Cze3x (2) by eliminati...

A: To find the differential equation.1 whose general solution is y=c1e-2x+c2e3x.2 by eliminating B and ...

Q: Use a quick approximation to estimate the derivative of the given function at the indicated point. H...

A: We know that d/dx(xn)=nxn-1

Q: If f(x) = In( 3 + e4x ), find f '(0). f '(0) =

A:

Q: Evaluate f"(e) when e = 0 given f (e) = 2 sec 30

A:

Q: Show that In x lim x→1 x – 1 1.

A: To prove: limx→1 ln xx-1 =1 limx→1 ln xx-1 =00 form L'Hospital's Rule tells us that if we have an in...

Q: IT sin't cos*t d t

A:

Q: Find the domain of the vector function r(t)=⟨ln⁡(19t),sqrt(t+8),1/sqrt(7−t)⟩ using interval notatio...

A: Given vector function isrt=ln19t,t+8,17-tfind the domain.

Q: Find the area between the curve and the x-axis for the function y = x2 +3x between x= -1 and x = 2 a...

A: To

Q: Let   f(x, y) = √y - 2x.              NOTE: The y - 2x is all under the square root! - The contour...

A:

Q: Let f(x,y) = x³y? The third derivative fexy

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect ...

Q: Set up and evaluate the integral that gives the volume of the solid generated by revolving the plane...

A:

Q: Match each graph to its corresponding function. 1. f(x) = Væ graph in blue 2. g(x) = Vx – 2 graph in...

A: Answer: The solution is as given below : 

Q: (x1+e*)dx e* -In(4) 3.

A: Given that: ∫(x-1+ex)dxex-ln1xdx

Q: QUESTION 5 A conical water tank has a radius of 5 cm at the top and 20 cm high as shown in Figure 1....

A: Given: A conical water tank has a radius of 5 cm at the top and 20 cm high.  Water flows into a tank...

Q: 14х10+8 еx F (x : 4 x' + 13

A: Given: fx=14x10+8ex4x+13

Q: Suppose y = (x² + 5)³. (a) Find the differential: dy dx. (b) Compute the differential when x dx 2 an...

A:

Q: 6. On the corresponding grids, draw any curve that satisfies the given conditions. A function where ...

A: Solution is given below:

Q: Analyze and sketch the graph of the function. Identify any intercepts, relative extrema, points of i...

A:

Q: Find the limit, if it exists: (Do not use L'Hospital's rule) (V42 lim 4x2 4а* + 16х V + 20 Note: Giv...

A:

Q: Compute the indicated derivative. U(t) = 5.9t2 + 5.9; U'(4)

A:

Q: Which of the following answer choices give the equation of an asymptote for the graph of f(x) answer...

A: Given query is to find the the value of x where f(x) has asymptot.