5 [²₁x² - 4x +31 dx

Q: 1 How large should n be to guarantee that the Simpson's Rule approximation to [²₁ n> 10 X Se+2 dx is…

A: Solving the following problem

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Q: S dx 2√x+3+3

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Q: Consider the following function. 864 X g(x) = 2x² + + 12

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Q: Find the local maxima and minima for the function. Find the intervals on which it is increasing and…

A: Given that : y= 1/3 x3 - x2 +x +5 , x belong to R. We find local maxima and minima and also find…

Q: Which of the following graphs exhibit ALL of the listed properties: lim f(x) = -2, I X lim f(x)= ∞0₁…

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Q: Let f be a differentiable function. We are given the following values of f and f': xƒ(x) ƒ'(x) 6 2…

A: g(x)=f(x2)h(x)=f∘f(x)k(x)=-4(f(x))3-2(f(x))2  d dx(xn)=nxn-1

Q: For the quadratic function f(x)=x²-2x-8, answer parts (a) through (c).

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Q: Find the local maxima and minima for the function. Find the intervals on which it is increasing and…

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Q: Linear DE of order One the steps are in the picture solve the following differential equation…

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Q: The solution of the differential equation subject to the initial conditions y(0) = 0 and y'(0) y(x)…

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Q: Complete the parametric equations of the line through the point (0,-8,7) and perpendicular to the…

A: Note : according to our guidelines i can solve only first question please reroute the remaining one.…

Q: Consider the following function: 1 +4x³+1 Step 3 of 4: Determine where the function is concave up…

A: Given that : f(x) =  x4/2 + 4x3 + 1.  We determined the  concavity of this given function.     Here…

Q: Consider the function f(x) = = e (z-20)² 8 f(x) has two inflection points at x = C and x = D with C…

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Q: (4) Suppose a population initially grows, but is then exposed to an environmental toxin that causes…

A: The model is given as , Pt=50t1000-2t2

Q: Evaluate cosh -1(3).

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Q: 6. Find the volume of the solid under the surface (of the paraboloid) z = xy and above the triangle…

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Q: Consider the graph of Cx + Ay = B where A, B, and C are all positive consta (a) Find the coordinates…

A: Given: Cx+Ay=B

Q: Find the inverse function of f(x) = 3 − 4x3

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Q: (a) Find all the x-values of the critical points and inflection points of the function f(x) = x¹ −…

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Q: North West Northwest Southeast Possible answers 125° 90° No Answers Chosen No Answers Chosen No…

A: For the following problem We have to sort the given angles based on general direction. Since we have…

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Q: The manager of a 141-unit apartment complex finds that all units are rented at a price of $2025 per…

A: We have to find the revenue and number of units.

Q: Assume that the below integral is finite, use Laplace transform techniques to determine its exact…

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Q: Find the dimensions of a rectangle with a perimeter of 160 ft that has the largest possible area.…

A: We know formula for rectanglePerimeter of a rectangle=2l+bArea of a rectangle=length×breadthGiven:…

Q: My friend Matt needs help studying the behavior of the function f(x) = (6 + x)² Please use Calculus…

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Q: Determine where the function is concave upward and where it is concave downward. Enter the answer…

A: Given that, The function changes concavity at the inflection point. To find inflection point, solve…

Q: Determine if f is continuous at all possible points of discontinuity. Classify each discontinuity as…

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Q: sinh(4ln(4x))

A: Given query is to simplify the expression.

Q: The sales of a plastic widget were estimated to be: P(t)  =  6000 t e−0.1t where t is in weeks,…

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Q: My friend Liliana needs help studying the behavior of the function f(x) = (4-3x)7 Please use…

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Q: 2 An object is moving with a uniform acceleration a = 2ms-², determine the functions for: a)…

A: We will find the required.

Q: e marginal profit for a certain style of hiking boots is given by P'(x) = 45 - 0.83x dollars per…

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Q: From the properties of exponential functions, the graph of f(x)=ax always passes through the point…

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Q: lim 818 9x³ + 8x - 4 3 3 – 5x + r

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Q: Consider the following function. h(t) = t t - 8

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Q: Consider the following function: Step 4 of 4: Enter the x-values of any relative minima, maxima, and…

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Q: 01) Let v(t) = 36-6t - 6t² be the velocity function of an object in rectilinear motion for t≥ 0.…

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Q: Simplify. Express your answer using positive expor (r^(3)s^(0)t^(-1))/(r^(-1)st*r^(2)st^(-1))

A: Given: (r^(3)s^(0)t^(-1))/(r^(-1)st*r^(2)st^(-1))

Q: Use the first derivative test and the second derivative test to determine where each function is…

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Q: The circumference of a sphere was measured to be 78 cm with a possible error of 0.5 cm. Use linear…

A: Solution: C = 2πr & SA = 4πr2 = C2/π. i.e. surface area as a function of the circumference is…

Q: cx+4 if x 2 d if x=2 Find values of c, d that make f(x) continuos at x = 2. C and d =

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Q: Find where the function is concave upward and concave downward. f(x)= 3x^4 - 30x^3 +x -3

A: Given query is to find the interval where function is concave up and down.

Q: Find the local maxima and minima for the function. Find the intervals on which it is increasing and…

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Q: Find the limit by rewriting the fraction first. xy-y-2x + 2 X-1 lim (x,y) →(1,9) x #1

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Q: Let y = tan(5x + 8). Find the differential dy when x = 4 and dx = 0.1 Find the differential day when…

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Q: y = esx

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Q: Paramount Electronics has an annual profit given by P = −100,000 + 5,000q − 0.25q2 dollars, where q…

A: The given data is: P=-100000+5000q-0.25q2q=30n+0.01n2  Use the chain rule to find dPdn at n=20

Q: On what intervals is the function f(x)=x2-9x8 both decreasing and concave up? interval(s) = Cine…

A: Given :fx=x9-9x8