Evaluate ftan a x sec4 xdx. +C

Q: Given that sin Find cot 0.

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Q: 6. As blood circulates through our bodies, at any given time we have some volume of blood within…

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Q: Evaluate the integral. [cx (2+ = (2+ =) dz (2) 0.7 csc O O csc (2+7+ C CSC O-ESC (2 + + 7) + C +C…

A: cscx=1sinxcotx=cosxsinxdsinxdx=cosx∫xndx=xn+1n+1+c

Q: Sketch the graph of the following ellipse. Plot the coordinates of the vertices and foci, and find…

A: We need to interpret ellipse.

Q: Find lim X→∞ lim X→∞ 1 √x 1 √x X dt dt √√₁

A: ∫tndt=tn+1n+1+clet  A=limx→∞1x∫1x1tdt

Q: 2. Suppose that f(x) = ((.x² + x·5).5 +.r.5).5 when x ≥ 0. Find df(x)/dx. •5 (@ï¥2³ )² +x²)+…

A: The answer is given in step 2

Q: 16) Analyze the following graph of f(x). Find the intervals over which the function is concave up.…

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Q: If we would like to solve the following differential equation by variation of parameters then…

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Q: Evaluate lim f(x) where f(x) = x-5+ 07 05 0 0 O Limit does not exist 06 x + 7 2 7 x² - 15x + 55 if x…

A: To find the right hand limit of f (x) at x=5 , substitute x=5 in  f(x) = x2-15x+55

Q: f(x) = ex/³; [1₁3]

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Q: 24) Find the area, in square units, bounded by f(x) = x² - 4 and y = 0 over the interval [-2, 2].

A: To find the area of the region

Q: Using terms like "secant line" and "tangent line", explain how evaluating lim h-0 gives the value of…

A: We have to explain how evaluating the given expression gives the derivative of f(x).

Q: 5) 14. If an object is moving in space with a velocity function of v(t)= t²-2t -8 where t is in…

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Q: 1. Consider the function f(x): = 1 x² 1 (x - 2)² (a) Find all the zeros of f, if any exit. (b) Find…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: Find d dx [(5x³ - 2x) ¹] 3 4(5x³ - 2x) ³ 4(5x³ - 2x)³ (5x³ - 2x) (15x² − 2) 4x³ (15x² − 2) 3 4(5x³ –…

A: The given problem is solved below in detail.

Q: Determine the limit. If it doesn't exist, tell me why. lim f(x) (A) x-3 X1 2.9 2.99 2.999 2.9999 3…

A: Table of values and graph of the function is given, we have to find the required limits.

Q: Use integration by parts to evaluate the integral: f21²edt = [ Submit Question

A: Given query is to find the integral.

Q: Find the most general antiderivative. + dx .. O = + 2% + C O. 3/% + C + O 2•lk j + C 2-√√xx o c

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Q: Find the interest rate r needed for an investment of $5,000 to grow to $8,000 in 3 years if interest…

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Q: = The demand for a particular item is given by the function D(x) = equilibrium price of a unit $5.…

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

Q: We an apply the short-cut differentiation rule for Exponential Functions to which of the functions…

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Q: If where f(x) = c is a real number, then which statements are true? Select all that apply. O f'(x)=0…

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Q: The rabbit population at the city park increases by 15% per year. If there are intially 164 rabbits…

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Q: If 15 11 O True f(x) dx = 9 then False 11 S." 5 3 f(x) dx = 27.

A:

Q: Determine the limit, if it exists, at the specified value of a by completing the tables. Round table…

A: To determine the limit, if it exists, at the specified value of x by completing the tables.limx→∞…

Q: A manufacturer believes the function C(x) = 0.25x² - 19x + 930 where 0 ≤ x ≤ 100 approximates the…

A: Given query is to find marginal cost and level which minimize the production cost.

Q: Find d da [e³²2²] dx 6xe ³x² e ³x² 6x e ³x² 6x (eª) (e³²²) (3x²) (6x)

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Q: Devise the exponential growth function that fits the given data, then answer the accompanying…

A: we need to find out the exponential growth function and also the cost of the groceries in 2013.

Q: S=4+² -2t³, t = -1

A:

Q: rr

A: The expression is given as log3(2x+27) = 5

Q: From a group of 8 people, you randomly select 5 of them. What is the probability that they are the 5…

A: given  group of 8 people randomly selected  5 of them

Q: Find an equation of the tangent plane and an equation of the normal line to the level surface of…

A: Given surface: f(x,y,z)=x-y3+ez Passing points (x1,y1,z1)=(1,1,0)

Q: If 6 what is H (x) = f(g(x)) H'(x) H'(x) = f'(x) g'(x) (x') H'(x) = f'(g(x)) None of these H'(x) =…

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Q: An economy has three industries, farming, building, and clothing. For every dollar of food produced,…

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Q: Evaluate the integral. ㅇ뿡 111 349 15 으뜸 dx

A: The answer is given in step 2.

Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral…

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Q: (a) f(x)=2x+3x²-36x (b) f(x)=x+√l-x (1) Find the intervals on which f(x) is increasing or decreas…

A: first derivative 2nd derivative

Q: 17. Find the Maclaurin Series for the following function: coshx (Hint: we did sinh(x) in class)

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Q: Given the triangle 22/ X = 37° 16° answer to 4 decimal places. X 3 find the length of side using the…

A: To use the law of sines and find the value of x

Q: Student grades on a chemistry exam were: 77.78.73, 81, 87, 51, 79, 82, 84:91 Select the…

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Q: What is ? d de (cot 0)

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Q: After 2 minutes, a submarine had descended to -420 feet. After 9 minutes, the submarine had…

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Q: Solve the following rational equation for x: 4 x²+2x-3 x-1¹ x+3

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Q: pln x • ² [d ("" (e² - 4) dt)] da dx dx π Evaluate

A: To evaluate the given integral

Q: Consider the following. y 2- directrix 1.5- 1- 0.5 -0.5- Find an equation of the parabola. Find the…

A: Parabola

Q: For f(x) = {2-cosxx find /(-2) + f(0).

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Q: y"-2y'+5y=10x²-3x-3

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Q: Let g(x) = [*r(1) = = = f(t) dt, where f is the function whose graph is shown. = y 6 + 2 (a)…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: etermine the interval(s) for which the function shown below is decreasing. y rovide your answer…

A: Given query is to find the interval where function is decreasing.

Q: Inverse Laplace transform of 4 s-4 s²+36 f(t) = 4cos(6t) - F(s)= Select one: O True O False 4 +1000…

A: