Given f(x) = e* sin x, for what values of a does the graph of f have a horizontal tangent lin

Q: Suppose that the functions s and t are defined for all real numbers x as follows. s(x)=2x-4 t(x) =…

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Q: If f(x) = ln(x) where x € [1,3] is rotated about the y-axis, then the area of the resulting surface…

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Q: Differentiate the function L(x) = -9e¹(cscx + 2cotx). Answer L'(x) = Keyb

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Q: Two airplanes are flying in the air at the same height. Airplane A is flying east at 400 mi/h and…

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Q: It is known that f(-5) = 15, ƒ'( – 5) = f''(-5) = 15, -10, - - - f(3) (-5) = 5, and ƒ(4) (-5) = -2.…

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Q: 1. (√xy-y)dx - xdy = 0

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Q: A tank holds 100 gallons of water, which drains from a leak at the bottom, causing the tank to empty…

A: A tank holds 100 gallons of water, which drains from a leak at the bottom, causing the tank to empty…

Q: Use the method of cylindrical shells to find the volume of the solid formed by rotating the region…

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Q: Question 6 What is the (A) ℗ B O D af dy of f(x, y) = tan (x²y³ + 2xy)? 2 [sec ² (x²y³ + 2xy] (3x²y²…

A: Given, f(x,y)= tan(x2y3+2xy)   Formula: ∂∂xtanx = sec2x

Q: Simplify sec(t) - cos(t) tan(t) to a single trig function.

A: Topic - Trigonometry We are given, sec(t)-cos(t)tan(t)we know…

Q: For each function below, choose the correct description of its graph. (a) g(x)=x+4 (b) k(x)=4x²-x-4…

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Q: sec(x) sin(x) cos(x) dx [sec(x)=+C

A: Given query is to find the integral.

Q: Solve 12 sin²(a) - 11 cos(x) - 14 = 0 for all solutions 0 < x < 2 Give your answers accurate to 2…

A: Put cos2x = 1-sin2x, then we will get quadratic equation in terms of cos(x). Solve the obtained…

Q: Use linear approximation, i.e. the tangent line, to approximate √81.1 as follows: Let f(x)=√x. Find…

A: Topic -Linear approximation We are given, f(x)=x,x=81equation of tangent line at x=a…

Q: Find the instantaneous slope of y=at z = 2.

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Q: Find the equation of the line normal to the graph of f(x) = x² + 3x at x = 1. Please give your…

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Q: Consider the ODE (a) The general solution y(t) of the corresponding homogenous ODE is Yh(t) Osin(at)…

A: NOTE: Refresh your page if you can't see any equations. . the given DE is

Q: Suppose an arrow is shot upward on a certain planet with an intial height of 1.7 meters and an…

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Q: Suppose that the function y = f(x) is not differentiable at x = π. Which of the following statements…

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Q: Use the quotient rule to show the trigonometric derivative of csc x = -csc x cot x (rewrite csc x in…

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Q: Find all solutions of the equation 2 cos 3x The answer is #1 = Submit Question with 1 < x2 < x3. 1…

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Q: 1a. Let f(x, y) = 3ln(xy²) - 4x. Find the value of f* (-2, 1) and (-2, 1). 1b. Find the value of f"…

A: As per the rules we can answer only the first question and rest others can be chain rule.

Q: The area of a square is decreasing at a rate of 174 square meters per second. At the time when the…

A: We have to find the rate of change of perimeter.

Q: The equation for the tangent line to the curve x² + y = 4 when x = 6 is y = X + i

A: To determine the equation for the tangent line to the curve x2+y=4 when x=6.

Q: lle Associate Degree You have a $50 coupon from the manufacturer that is good for the purchase of a…

A: Topic -functions  We are given, f(x)=0.7x g(x)=x-50

Q: olve the following differenti dy dx I (1+x)y + xy² X

A: Let's solve given diffential equation.

Q: The area covered by a marsh, A, starts at 130 acres and drops by a factor of 14 each year for n…

A: See the answer below

Q: For the first equation, does 10 represent a and 53 represent b in the function f(x)ab^x? For the…

A: After seeing the previous solution, we observe that there is improper explanation to understand the…

Q: Find the equation of the line normal to the graph of f(x) = -2x³ + 3x - 3 at x = -1. Please give…

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Q: Question Find (f-¹)'(a) for f(x) = 5x + 1 when a = 1. Enter an exact answer. Provide your answer…

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Q: Write the sum as a product: cos(19.3v) cos(8.9v) = Question Help: Video Submit Question

A: Given query is to rewrite as product.

Q: 3 2 n n=1

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Q: I. II. III. IV. y² = t² - 2t and x = t + 2 is Ellipse Circle Parabola Hyperbola

A: Topic = Coordinate geometry Correct Option = IV

Q: The total amount of rainfall, in centimeters, as a function of time, in days, is modeled by the…

A: The total amount of rainfall in centimetres,as a function of time in days where g is a…

Q: Suppose that the functions g and h are defined as follows. g(x) = (x + 1)(x+3) h(x)=-5x-1 (a) Find…

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Q: Sketch the region enclosed by the curves y = 2x and y = 4x². List the points of intersection of…

A: To sketch the region enclosed by the curves y=2x and y=4x2.To list the points of intersection of…

Q: When food is left out at room temperature for a long period of time, mold begins to grow on it. For…

A: When food is left out at room temperature for a long period,mold begins to grow on it.For…

Q: A typical cup of coffee contains about 80 mg of caffeine and every hour approximately 16% is…

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Q: The area of a square is decreasing at a rate of 174 square meters per second. At the time when the…

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Q: A patient needs to keep their blood sugar levels within 7 milligrams per deciliter of 95 milligrams…

A: A patient needs to keep their blood sugar levels within 7 milligrams per deciliter of 95 milligrams…

Q: Sunset Lake is stocked with 2000 rainbow trout and after 1 year the population has grown to 5200.…

A: I am attaching image so that you understand each and every step.

Q: a. b. C. lim 3-5 (YOU MAY USE ANY TECHNIQUE COV x-1-√√3x +1 x-5 1-x lim x-6 (x-6)² (A TABLE OF…

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Q: MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the…

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Q: Graph the functions including the labels of 2 key points and any asymptotes ON the graph. 1. y = 2…

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Q: Graph the solution to the following system of inequalities. 3x+4y2-16 -2x+3y<-6 Then give the…

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Q: Solve for x: log(x)+log(x+2)=8

A: Here we have solve for x

Q: In 2010, the population of a country was 53 million and growing at a rate of 1.7% per year. Assuming…

A: Given query is to find the population function with time.

Q: 3. Consider the curve defined by xy² - 2x³ = 2 for y ≥ 0. a. Find dy Write an equation for the line…

A: Topic:- application of derivatives

Q: -Improper Integrals if we want to integrate a rational function using partial fraction…

A: We have given  To find integration using partial fraction decomposition  Let,  I =∫pxqx dx If degree…

Q: The differentiable function f is shown below on the domain (-9, 9). Determine which statement is…

A: Option second is correct f'(-3)&lt;f'(7)&lt;f'(2)