00 01 0.00 o。 lim x→0 x*+(sinx)* 2₁

Q: Be sure to show and explain all steps. Determine lim X→C 2f(x) - 3h(x) (g(x))+ (h(x))* lim _f(x) = 8…

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Q: r(theta)=1+2cos(theta) find the tangent line at theta=(pi/4)

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Q: Find the solution of the differential equation that satisfies the given initial condition. y'(x) =…

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Q: DEMAND FOR HYBRID CARS A car dealer determines that if gasoline-electric hybrid automobiles are sold…

A: Selling price of car: x dollars apiece, where Cost of gasoline: y cents per gallonFunction to…

Q: Use the Fundamental Theorem of Calculus to find the "area under the curve" of -x² + 10x between x 3…

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Q: Determine whether the improper integral is convergent or divergent, and find its value if it is…

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Q: Find -2 (2x5+ 3x¹) dx

A: Given that a integration and we solve this integration by using general property of integral.

Q: The stock market investment is loosing its value. The equation is given by 38 A(t) = ²({ ½)¹, where…

A: Equation: , where P is the principal, in dollars, A is the amount of investment, in dollars after t…

Q: Find the local maximum and minimum values of the function f(x) = -x 36 using the Second Derivative…

A: To find the local maximum and minimum values of the function  by using Second Derivative Test.

Q: Consider the function f(x) = 8√x+5 on the interval [4, 8]. Find the average or mean slope of the…

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Q: Find the critical points of ƒ(x) = −12x² + 4x² − 3 and apply the Second Derivative Test (if…

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Q: Q5 ven x x=ex (a+b+c) y=(a + c) x (c+d) (a) Restructure the expressions by using coarse-level…

A: Coarse Level Restructuring of Expressions: Coarse level restructuring involves simplifying or…

Q: The perimeter of a triangle is 52 in. The shortest side is 7 in. less than the longest side. The…

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Q: 59. a. Find the equation of the line tangent to the following curve at the given value of x. b. Use…

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Q: Evaluate the integral using the following values. 6 [x3 dx = 260, x dx = 10, dx = 2 [²x x³ dx

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Q: Figure out the area of the part of the surface 2y + 4z - x^2 = 6 that lies above a triangle with the…

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Q: 9. Suppose two graphs G and H have the same vertex set V. (a) Provide an example where deg, (v) =…

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Q: y=x²² - 2x+1 2 y=5-x²

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Q: The limx→2 f(x) does not exist for the following function, f(x). O true O false

A: To determine whether the following statement is true or false.The  does not exist for the following…

Q: Find the indicated partial derivatives of: at the point (x, y) = (2, 4). of (2,4)= ?x af dy (2, 4) =…

A: The given function is

Q: Choose the correct answer by changing the order of integration of the following iterated integral SS…

A: We need to change the order of integration.

Q: A tank is shaped like a prism whose faces are semicircles of radius 3m, as in the figure to the…

A: The prism can be separated into various thin cuboids whose bases are rectangles and have a very…

Q: A particle moves in a straight line with velocity 12 - 4t ft/s. Find the total displacement and…

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Q: R O 4 O -1 02 О о 3. Consider the piecewise function f(x) = 0 x < -1 x², -1≤x≤2 -1, x ≥2 What is the…

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Q: Evaluate the triple iterated integral. 255 2 2 X 4 xyz³ dx dy dz

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Q: Sketch a graph of the function f(0) = 2 cos(-40 — -Зл -5л/2 -2л -3/2 -7 +3 -л/2 4 3 2 1 -4 -2 -3 -4…

A: f() = 2cos [ -4 - (π/2) ] + 3Drawing the graph

Q: 3. For which x value(s) is f(x) = sin 2x continuous? Explain why.

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Q: y = x³+4x-15 y = x² cos x y=tan(x/3) at x =0 at x=0.4. at x = 3

A: Since you have posted multipart question  i have solved the first three question as per our company…

Q: Find the limit of f(x, y) = 4 2 x² - y² as (x, y) → (0,0) or show that it does not exist. x² + y² .4…

A: To find the limit of  as  or to show that it does not exist.

Q: Consider the function f(x) = 5-3x², -5 ≤ x ≤1 Find the absolute maximum, absolute minimum and where…

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Q: 3. Sketch the graph, using limits, of y= 3x (x-4)(x+2) Be sure to show all work and your coordinate…

A: The given function is

Q: In Fig 26, Match the graphs of the functions with those of their derivatives. Functions f A B C > V…

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Q: Water flows into an empty reservoir at a rate of 3800 + 25t gal/hour. What is the quantity of water…

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Q: Express the integral as a limit of Riemann sums using right endpoints. Do not evaluate the limit. dx…

A: We can convert integration as a limit of sum as following

Q: Please show steps

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Q: The terminal side of the angle 0 in standard position lies on the given line in the given quadrant.…

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Q: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure…

A: The volume  of an ideal gas varies directly with the temperature  and inversely with the pressure .…

Q: the present value of the amo continuously. in the future and invested at interest rate R-3%, comp

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Q: If f(x,t) = ²√ke-² dy, then prove that kfxx = ft.

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Q: Given f'(x) = x³ - 3x² and its graph, use the graph to determine the following. f'(x) -4 x = -2 4…

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Q: What is the maturity value of a 2-year term deposit of $8123.14 at 6.8% compounded quarterly? How…

A: The amount based on compound interest after t years isHereA is the amount after t years, r is the…

Q: This doesn't quite answer the question of whether it's true or not.

A: This doesn't quite answer the question of whether it's true or not.

Q: dz Given z³ - xy + yz + y³ −2 = 0, find Әх and Oz ду at the point (1,1,1).

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

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Q: Speedometer readings for a motorcycle at 12-second intervals are given in the table. 12 24 36 48 60…

A: Using Riemann sum, we can find the required sum.

Q: Determine if the improper integral is convergent or divergent, and calculate its value if it is…

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Q: A rectangular closed box is to be built at minimum cost to hold 729 cubic inches. Since the cost…

A: To find the dimensions that will minimize the surface area of the rectangular closed box, we'll use…

Q: Determine the intervals on which f is increasing or decreasing, assuming that given figure is the…

A: Let a function f( x ) If then function is increasing If then function is decreasing

Q: x² (x³ – 6)³ This can be transformed into a basic integral by letting Consider the indefinite…

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Q: Find the average of the function over the given interval. f(x) = x3 − x over [0, 1]

A: The given function is