order differential equat neous equation: Solve +6y=x² I 127 dy ) 108 dx 0, y = 5 18

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: To sketch the region enclosed by the given curves. To decide whether to integrate with respect to .…

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Q: Consider the function below. (Round the answers to two decimal places. If you need to use -∞o or ∞,…

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Q: Hello i need help with this question. Find a cubic function f(x) = ax3 + bx2 + cx + d that has a…

A: The given function  ,the function local maximum value of 2 at x = −2 and a local minimum value of 0…

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Q: ↑ For the given function f(x) and values of L. c, and e> 0 find the largest open interval about c on…

A: We have  Then we have to answer the following...

Q: Determine whether the equation is exact. If it is, then solve it. 2t dy + (2 In y + 5)dt = 0 ....…

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Q: Calculate sin 0 with a line through it if a=5 and c=8. Answer options are 1. square root of 39 over…

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Q: 8. A point has horizontal and vertical displacements (in cm) of x = ³ - ² + 5t and y = 24- + t. Find…

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Q: Consider the following series. ∞ n = 1 6 n²+n³ Does the function f(x) 6 h* + = O Yes O No Evaluate…

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Q: Terms of Use 6 For the following graph of f (x), identify where f(x) is not differentiable and AY…

A: The graph of f(x) is given

Q: Find the equation of the tangent line to the curve f(x) = -x³ + 2x at x = 1. O T(x) = 1 + (-1)(x -…

A: The given function .The aim is to find the equation of the tangent line at the point .

Q: Find f'(x) in two ways: (1) using the product rule and (2) simplifying first. f(x) = x²(x8-9) Which…

A: Given that

Q: Evaluate the following indefinite integral √ 2² + √²-2 dz X

A: To evaluate the following indefinite integral.

Q: What values of a and b make f(x)=x^3+ax^2+bx have   Part 1 a. For a local maximum at x=−3 and a…

A: To find the values of  so that  have, (a) a local maximum at , and a local minimum at (b) a local…

Q: Find the domain and the range of the relation CELIB Find the domain [1,00) (If the solution is an…

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Q: Determine whether the series is convergent or divergent. n=1n² - 1 6n + 12 converges O diverges

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Q: 1 0.8 0.6- 0.4 0.2 3Q Use Newton's method to approximate a root of the equation cos Enter your root…

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Q: Which integral represents the volume of the solid obtained by rotating the region bounded by the…

A: Given that the region bounded by the curves To find:-The integral that represents the volume of the…

Q: Decide if the series diverges or converges. If it converges, find its sum. Make sure to show step by…

A: The given series is .The aim is to determine the given series is converges or diverges.

Q: (7) Let f(s) = √4-² be a function. For what value of x in the closed instantaneous rates of change…

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Q: The velocity function, in feet per second, is given for a particle moving along a straight line. 6…

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Q: Problems 19-20, use the table of values to determine whether f(x) is an exponential function.…

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Q: Find f'(x) in two ways: (1) using the product rule and (2) simplifying first. f(x) = x²(x8 - 9)…

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Q: Part 1: The production level that minimizes the average cost of making x items is x= _____ Part 2:…

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Q: True or false: If f(x) = 12 for all real numbers , then f"(x) = 0 for all real numbers .

A: The question is asking whether the second derivative of a constant function is zero for all real…

Q: 316. You are constructing a cardboard box with the dimensions 2m by 4m. You then cut equal-size…

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Q: Suppose that AABC is a right triangle with ZC = 90°. If AC = BC = 4, compute the following. (Enter…

A: Suppose that  is a right triangle with If , then to compute the following,

Q: 2-10x+10 -2 perform the division. Express your answer in the Division Algorithm.

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Q: Determine the vertex of the parabola without graphing. f(x)=2x²-12x+18

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Q: Write the quantity using sums, differences, and constant multiples of simpler logarithmic…

A: The objective of this question is to simplify the given logarithmic expressions using the properties…

Q: 6(x²-1) (x²+3)³ -2x 2. Let f(x) = The first two derivatives of f are f'(x) = and f"(x) = (x²+3)² 1…

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Q: On a typical day, the snow on a mountain melts at a rate modeled by the function M(t) = TU sin it 8…

A: As per our guidelines we can solve one question only or 1st three sub parts only. If you need more…

Q: QUESTION 5 Find the dimensions of the rectangular garden of greatest area that can be fenced off…

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Q: Evaluate the following limit using L'Hospital's rule. lim (x+7) In ((x+7)²) x→−7+ Provide your…

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Q: I was wondering what the horizontal asympotoe would be? I was having troubling figuring that part…

A: As per student demand answer of (d) Horizontal asymptotelimx−>oog(x)=l l is the horizontal…

Q: Determine whether the sequence defined by an = 9" 5+2 converges or diverges. If it converges, find…

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Q: 3. After a race, a runner's heart rate (in bpm) is modelled by the function R(t) = 120(0.85)¹ + 70,…

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Q: A pizza pan is removed at 1:00 PM from an oven whose temperature is fixed at 450°F into a room that…

A: By using Newton's law of cooling in the study of heat transfer:-

Q: Find possible values of a and b that make the statement true. 6 6 [₁ 1 ºf - [ ° F(x) dx = [₁ F(x) dx…

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Q: Questions No.3 and No.4 refer to the following: Let f(z)-5-2x. If g(z) is a functia with derivative…

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Q: g(x) Find the area enclosed between f(x) = 0.1x² + 9 and g(x) = x from x = -2 to x = 7.

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Q: 23) Use logarithmic differentiation to find the derivative of the function. y = (x + 2)²(x5+4)*

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Q: Find the area of the region bounded by the graphs of the given equations. y=3-x²₁ y=3-4x

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Q: True or false: At the point where x = , the tangent line to y = sin(x) is perpendicular to the…

A: We have to find, at the point where x=, the tangent line to y=sin(x) is perpendicular to the tangent…

Q: If g(x)= ((x^2)-4)/(-x-3) and h(x)= g(x), evaluate (integral^-4 with an index of -5) h(x) dx Answer…

A: If  and h(x) = g(x), then we have to evaluate the integral

Q: Find the solution to the initial value problem. z''(x) + z(x) = 9e¯ 4x: Z(0) = 0, z'(0) = 0 The…

A: To find the solution to the initial value problem.