Differentiate f(x) = seca 1+tan For what values of x does the graph of f have a horizontal tangent?

Q: Find the equation of the line using the point-slope formula. Write the final equation using slope-…

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Q: Compute A-1, if it exists, using the method of Example 1. (If an answer does not exist, enter DNE.)…

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Q: derivative Example 6: Find the absolute extrema ● f(x) = √4x²; [-1, 2]

A: The objective of the question is determine the absolute extremal.

Q: Find the two x-intercepts of the function f and show that f '(x) = 0 at some point between the two…

A: The function is given by fx = x2-2x-8 To evaluate: the x-intercepts of the function fx and the value…

Q: Consider the following series. 9 Σ n In(n) n = 2 Does the function f(x) Yes No = 9 x In(x) 9 x In(x)…

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Q: Given the demand function D(p) 100-4p², Find the Elasticity of Demand at a price of $1 -0.083 At…

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Q: QUESTION 1 Let f (x,y) = (x²+2y) 3 be a given function. Find f (x,y) at the point (1,2) xy 120 100…

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Q: B. Solve the problems related to the application of First Order Differential Equations. 2.…

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Q: Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.) lim…

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Q: Identify the vertex by writing the equation in the standard form of a quadratic function. p(x)=…

A: The equation is p(x)=47x2+5

Q: Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the…

A: NOTE: Refresh your page if you can't see any equations. . answers for Part(a), part(b) marginal cost…

Q: P1 Find an equation for the curve that passes through the point (1,0) and whose slope at (x, y) is…

A: GIVEN POINT IS (1,1)   GIVEN SLPOE IS    xey   formula for slope is   dydx

Q: Example 4: A right triangle whose hypotenuse is √48 inches long is revolved about one of its legs to…

A: We can answer only the first question as per the rules.

Q: Find dy: 5x³ =-3xy + 2 dx ****

A: To find the derivative

Q: The population of a particular type of bacteria is known to triple in 18 days. What is the daily…

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Q: Given that f'(x) = 4(x + 2)(x + 5), The graph of f(x) at x = 3 is [Select an answer

A: Concept let a function f(x)  and its derivative is f'(x) at x = a if f'(a) >0   ---- then at x =…

Q: What is true about the line tangent to the graph of f(x)=x at (0,0)? Choose the correct answer…

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Q: Set up an integral that represents the area of the surface obtained by rotating the given curve…

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Q: The graph of y= 2a +5 looks like: -10 10 1,0 We should notice that our line's y-values may change…

A: given graph of y=2x+5

Q: 3. (a) Suppose that f'(x)=√(12-5x), and ƒ(4) = 3. Find f(x). Show all work. (b) If g"(t) = 3 cos(t)…

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Q: Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select…

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Q: In this question, give all answers correct to two decimal places nivoliol srit bali Sam invests…

A: we need to find out the amount that Sam will have after 10 years.

Q: Consider these tables of cell means. Which one shows a possible interaction, and which one does not…

A: The given table is: Table 1   B1 B2 A1 10 15 A2 20 25 Table 2   B1 B2 A1 10 25 A2…

Q: Determine the amount f money that must be invested now (time 0) at 7% nominal interest, compounded…

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Q: Consider the function f(x) = 2 − 6x², - 4 ≤ x ≤ 1. The absolute maximum value is 2 and this occurs…

A: for critical points    f'(x)=0                   dxndx=nxn-1…

Q: ӘР Find and дх w = exy. ӘР when x = 0, y = 2 if P = √u² + v2 + w², u = xey, v = yex, and ду

A: Given x=0y=2P=u2+v2+w2u=xeyv=yexw=exy

Q: Find the first order partial derivative z of the function y z = 4x² - 8x³y³ +6y4+10 at the x = 2 and…

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Q: 4. (a) If fi f(x) dx = 5 and ₁ g(x) dx = -12, what is fi(5f(x) — 2g(x)) dx? (b) If 4f(x) +7 dx = 37,…

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

Q: Choose the graph that best matches to the information provided below. f'(2) = 0 and f "(2) < 0 and f…

A: f'(2)=0f''(2)&lt;0f'(6)=0

Q: Scientists are calculating how the mass of a potato changes in a particular solution, due to water…

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Q: Find Ln, R₁, and their average for the definite integral below using the indicated value of n. 5 f…

A: Given integral:- ∫15x2+4dx

Q: $ 29moosd 3 nedì,0 A(r) = √√√r. er²+1 W DCO OW

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Q: Explain why Rolle's Theorem does not apply to the function even though there exist a and b such that…

A: Function is    f(x) = cot(x/2)   interval is [п, 5π]   For Rolle's theorem, function must be…

Q: 2. Graph examples of functions y = f(x) (separate functions for each part) such that: (a) f(x) is…

A: (d) The tangent line to y = f(x) at the point (1,2) intersect the graph of f(x) at exactly three…

Q: Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs…

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Q: an = sin Nπ 2

A: Let's find given sequence is converges or diverges.

Q: Solve each equation on the interval [0, 2π]. 5. sin 2x = cos x 7. sin 2x csc x = 1

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Q: For the following multivariable function f(x,y) = (3x-2) 2 (5y + 4) which of the following partial…

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Q: 7. Given f(x)=√x+3 and g(x)=√√x-6, find (f g)(x) and state its domain.

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Q: Evaluate the iterated integrals to compute the double integral over the rectangle R:0≤x≤π,  0≤y≤1…

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Q: 2. Evaluate the following indefinite integrals: (a) f(3ex-2 cos x + 5 sin x) dx (b) (2x + 1) (3x −…

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Q: Find the area of the surface obtained by rotating the curve about the x-axis. 1 x=—=— (y²+2) ³/², X=…

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Q: Example 11: Evaluate lim x→1+ (六) In x

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Q: Let f(x) = 9xe-² Find all critical numbers and inflection points of f (x). Enter the largest x value…

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Q: Find the volume over the cone z = x² + y² and under the sphere x² + y² + z² = 1

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Q: Evaluate e fff e√x² + y² +2²dV where R is inside the sphere x² + y² + z² = 9 in the first octant R

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Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

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Q: Explain why Rolle's Theorem does not apply to the function even though there exist a and b such that…

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Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. 元…

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Q: 3. Continuous Compound Interest If $150 is deposited in bank that pays 5% annual interest compounded…

A: If $150 is deposited in bank that pays 5.5% annual interest compounded continuously. Find the value…