lim sin x+ → sin(x+3) 4 Н Question Details Done 11. Evaluate the limit algebraically. Make sure to show all work that leads to your answer. Simplify as an integer, fraction, or using the infinity symbol. If the limit cannot be evaluated, type NA for not applicable. Type a response D

Q: The equation x³ + y5 + 7y = 9 implicitly defines y as a single function of x at and near the point…

A: Now, we use the linearization formula: y≈f(a)+f′(a)(x−a) Where:a = 1f(a)=1f'(a)=−1/4x=1.18Plugging…

Q: 1. Find all max/min and intervals of inc/dec. f(x)=3sin(2x). [0,π] 2. Find all POI and intervals of…

A: Answer 1)To find the maximum and minimum points as well as intervals of increase and decrease for…

Q: Prove the identity 2 Sin²x = x tan ². 1 + tan²x Use a Pythagoras identity

A:

Q: Use the graph of the function f to find lim f(x) and lim f(x). X-00 ∞ - <x Select the correct choice…

A: • As x approaches negative infinity, the graph of the function f(x) approaches the line y = 3.…

Q: Can you explain question 16 for me in step by step

A: Step 1:Step 2:Step 3:

Q: Use Stokes' theorem to evaluate F. dr where C is oriented counterclockwise as viewed from above. IC…

A: ANSWER : ​​

Q: Use the form of the definition of the integral given in the theorem to evaluate the integral. 3…

A: The objective of this question is to evaluate the definite integral of the function (x^2 - 4x + 8)…

Q: I need help with this problem and an explanation for the solution described below:

A:

Q: Find a formula for for the function below using the Derivative Rule for Inverses. dx f(x)=3-512x3 df…

A:

Q: 4t Let (t) = Find fr (c) de dt (don't include the +C) fr (t)dt = <[

A: Step 1: Step 2: Step 3: Step 4:

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 450…

A:

Q: 10 17 sin(3x) + -π < x <π. " #3: Suppose that f(x) is the sum of the Fourier series f(x) = sin(nx) =…

A: Step 1:

Q: Solve (t2+4) d = (x2+36), using separation of variables, given the inital condition (0) = 6. x=6 tan…

A:

Q: The monthly demand for a certain brand of table wine is given by the demand equation p = 360…

A: The objective of the question is to find the rate of change of the price per case when the number of…

Q: JUST WRITE THE INTEGRAL that is required to find the area of the region bounded by the graphs of the…

A: The curve y=4−x2​ is a circle with radius 2 Squaring it, we get x2+y2=4The lines x=0 is the y-axis…

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

A: The exponential decay model amount of radioactive at time tinitial amountdecay ratetime in yeats

Q: An experiment is to be conducted examining the growth rate of juvenile coho salmon under different…

A: The objective of the question is to calculate the total number of fish required for the experiment.…

Q: a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to…

A: Step 1: Solution-(a)Given curve: x3+y3=30xyGiven point: (15,15)We have to verify that the given…

Q: Find F. dr where C is a circle of radius 3 in the plane x + y + z = 4, centered at (3, 3, -2) and…

A: Step 1:  Consider the given conditions :                The equation of circle is given by :…

Q: R 12) Use a change of variables to evaluate the double integral f₂ 12xy dA over the square-shaped…

A: Step 1:Step 2:Step 3: Step 4:

Q: Use the remainder theorem to determine the remainder when P(x)= 3x^5 - 3x^2 - x+ 2 Is divided by…

A:

Q: 3) Evaluate the triple integral f₁₁₁³ (ze* +2y) dx dy dz. Give answer exactly.

A: Step 1:

Q: Solve the question attached.

A: The objective of the question is to find the first and second derivatives of the function y = 4x at…

Q: Explain the difference between the average rate of change of y as x changes from a to b, and the…

A:

Q: 14- 12- 10- 8+ 6- 4- The graph of a function f is shown in the figure. Estimate the derivative of f…

A:

Q: Consider the following. y -2 6 4 2 -2 Find an equation of the ellipse. Find its foci. smaller…

A: The general equation of a horizontal ellipse is given as: a2(x−h)2​+b2(y−k)2​=1Where: h and k are…

Q: Find the average rate of change for the given function. f(x)=√5x+1; between x = 0 and x = 7 The…

A:

Q: Evaluate the surface integral Th F⚫ds for the given vector field F and the oriented surface S. In…

A: Since S  is a cone, it's convenient to use cylindrical coordinates. Let θ  be the angle measured…

Q: Find f(x)=x³-21x²+19x+7 £fic concave DIS ON 1475 the inflection points.

A:

Q: 7. Use Polar coordinate to compute the volume under the cone z = √x² + y² and above the semi-ring 4…

A: Step 1: Use polar coordinates to find the volume, x=rcosθy=rsinθdxdy=rdrdθ Step 2:…

Q: a. Write the equation of the line that represents the linear approximation to the following function…

A:

Q: Suppose a person wants to travel D miles at a constant speed of (60+x) mi/hr, where x could be…

A:

Q: Use a linear approximation to estimate the following quantity. Choose a value of a that produces a…

A:

Q: Find the coordinates of the local minimum of the function f(x) = x²+3x²+5x.

A: The objective of this question is to find the coordinates of the local minimum of the function f(x)…

Q: a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to…

A: The given equation is  and point

Q: K If the formula P=0.5643Y-1092.57 can be used to predict the average price of a theater ticket…

A: The objective of this question is to find out the year from which the average price of a theater…

Q: Consider the following graph on the interval -180° 13

A: As you have already able to figure it out amplitude and period , lets find out the equation, The…

Q: (4) Let C denote the following disconnected surface: C = {(x, y, z) = R³ | x² + y² = 1Ux² + y² = 4,…

A: Step 1:(a) To sketch the given surface C, we have a cylinder with radius 2 (inner cylinder) and…

Q: Solutions to question 2 please

A: Question (2) Part (a) Given that: f(x)=3x​ The cube root of the appropriate center to approximate…

Q: Bioengineers construct peptides with new functions by starting with a particular peptide, and then…

A: The objective of this question is to calculate the number of peptides that need to be screened in…

Q: Find the maximum and minimum values of the function g(0)=30-7 sin(e) on the interval 0, T 7 2…

A:

Q: Using L'Hôpital's rule one can verify that In x lim x-+x x XT == 0, lim x+x ln x = lim x ln x = 0…

A: (a)(a.1)(a.2)b.(b.1) Graph:(b.2) RELATIVE EXTREMUMTherefore, the function has a relative minimum of…

Q: The list shows the number of viewers of an online music video each day for 5 consecutive days. 5…

A: The objective of this question is to find the factor by which the number of viewers changed each day…

Q: Diminishing Returns Jesaki Inc estimates that it will sell N(x) units of product after spending $x…

A: Explanation of the point of diminishing returns in the given scenario:The concept of diminishing…

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 450…

A: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinderto hold 450…

Q: Let f(x)=2x²-2x and g(x) = -4x-1. Find f[g(3)]. f[g(3)] =

A: Step 1:

Q: -y-x4-y₁ #21 Given f(y)= (a) Find the direction in which f(cy) decreases most rapidly at P. (0,0),…

A: Step 1:Step 2: Step 3: Step 4:

Q: Assume that the mathematical model C(x)=11x+130 represents the cost C, in hundreds of dollars, for a…

A:

Q: Find the derivative of the following function. y= x e-9 In |x| y' = (Simplify your answer.)

A:

Q: Solve the initial value problem dy = (x - 7)(y – 9), y(0) = 6. -7x dx y = Зе 2 +9

A: