Use the second derivative to determine the intervals on which the given function is concave up and concave down. g(x)=x^3−3x+2

Q: I"f'(x) 0. then which of the following is true? o f(x) is increasing and concave up o f(x) is…

A: If f'(x) < 0 and f''(x) > 0 Then , which of the following statement is true

Q: The one-to-one functions g and h are defined as follows. g= {(0, -3), (3, -9), (4, 3), (7, 2), (8,…

A: The objective of the question is evaluate the given function values.

Q: Find dy for dx a) y = xx+3 b) y = [ex(2x2−1)5] /  x2 √(2x+1)

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Q: (5x – 6) (2а — 5) (ӕ — 3) 5х — 6 - Let f(x) = 2x2 11x + 15 - - 1) The domain in interval notation is…

A: As per Bartleby guidelines rule we have to answer only 3 sub-part of a question.

Q: Find the value of k that will make the function f(c) continuous everywhere 2x + k, x -5 -4 13 O…

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Q: Solve (x2 + 1) + 2xy = dy 2 dx x²+1

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Q: Find T(t) and N(t) at the given point. r(t) = 2 cos(t)i +2 sin(t)j+ tk; t= TE) N || ||

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Q: 2" is convergent. The series 2 n=1 h+1

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Q: 1. The area of a circle decreases at a rate of 3 feet square a. If the circle starts at a radius of…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: ,2 Which of the following is true for the series e1/n n=1 Select one: O Converges to 0 O None of the…

A: We need to find the convergence of series  ∑n=1∞ e1n2

Q: A lacker 20 feet lon3 is Kanin3 azainst th Wall of a house, The base Of the ladder iS PUICA allay ot…

A: According to the question diagram will be as below Given: dxdt=3 ft/sec To find: dydt

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by y…

A: Suppose f is non-negative and continuous on the interval [a,b],then the volume V formed by rotating…

Q: Solve the following differential equations of (2x* +y)dx+(x'y-x)dy = 0

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Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = Va2 – x2 R…

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Q: 3. Find the dimensions and area of the largest rectangle having its two lower corners on the x- axis…

A: The given problem is solved below in detail.

Q: Given f(t) = 208e0.17t where 't' is in years, what is the continuous annual rate? Hint: Your answer…

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Q: Set-up the integral for the area A(R) of the region R bounded by the circles y2 + x² = 4, and y2 +…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Use the EraPh to fal evaluate te linit f(x) it

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

Q: A spring has a normal length of 10 inches. It has also been determined that its spring constant is…

A: Given that a spring has a normal length of 10 inches. It has also been determined that its spring…

Q: 2X

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Q: Determine whether the following series is convergent or divergente: (– 1)" n =1 n6 +7

A: The detailed solution is given below Thank you

Q: Question 4: Let T be defined as T (v1, v2, v3) = (vl1-v2+v3, v2-v3, v1+v2) a) Find the image of (1,…

A: The objective of the question is evaluate the pre image .

Q: in 5-- 2 34 6. Graph of f The graph of the function f is shown above. Which of the following…

A: here we can see than the f(x) is discontinue at 4  so if function is discontineous it means the…

Q: Find the gradient of the function at the given point. f(x, y) = 4x + 2y2 + 6, Vf(4, 2) = eBook

A: A detailed solution is given below

Q: For the continuous function f(x), if f’(-4) does not exist, then x=-4 is a critical point.

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Q: Just set up the integral. A spring has a natural length of 20 cm. A 40 Newton force is required to…

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Q: 1. Find D„f at P: f(x,y) = sin(8x – 5y); P (5,8)); u=((i)

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Q: Find the volume of the wedge-shaped region (Figure 1) contained in the cylinder r? + y? 64 and…

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Q: Find the volume of the solid formed by revolving the region bounded by y = x – x and the x-axis (0 <…

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Q: F(cotx + tanx)² dx

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Q: long is to be cut into two pieces, one A wire 28 m piece to form a square and the other to form a…

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Q: Consider the lines defined by the equations {3 : a – 3 = y – 5 = z – 6 and 4(s) = (-2 – 2s, –2s,6 –…

A: Given lines are: l3: x-3=y-5=z-6 l4→s: -2-2s, -2s, 6-2s   We compare l3: x-3=y-5=z-6 or l3:…

Q: (a) Find an equation of the tangent plane to the surface at the given point. x2 + y2 + z² = 26, (1,…

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Q: Find the devivatives of the following equation b Y= ln (x,4)-x fori CH/2)

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Q: Rewrite the polar equation r = 2 sin(0) as a Cartesian equation.

A: A detailed solution is given below

Q: 5. In antidifferentiation, the formula § x" dx + Cis valid if? %3D (n+1) А. nER В. п# 1,п€ R С. п€…

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Q: dy Solve dx (25 + x²)(49 + y²)

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Q: Set-up the integral for the area A(R) of the region R bounded by the circles y2 + x² = 4, and y2 +…

A: Region bounded by two circle in fourth quadrant

Q: Simplify arccot(). 3 3

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Q: Evaluate: 19 (20) 3i+1 i=0 2

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Q: Find the volume of the solid formed by revolving the region bounded by the graphs of y = x' + x + 1,…

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Q: What is the minimum product you can achieve from two real numbers, if one of them is three less than…

A: This question is based on application of derivative.

Q: Find the volume of the solid formed by revolving the region bounded by y = sin x and the x-axis from…

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Q: The one-to-one functions g and h are defined as follows. x+13 g(x) = 11 h={(-8, 5), (4, 9), (7, -2),…

A: Simplify the equation and solve for x for inverse function.

Q: 1 dx ((Va)² – 16 2 x² .

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Q: Evaluate the iterated integral by converting to polar coordinates. (x² + y?)3/2 dy dx dr de = Jo

A: Follow the procedure given below.

Q: 3. Ση-1 -1/m By the e n2 series test:

A: We will solve this problem by Abel's test for series

Q: cos³ x .3 S dx 1+ sinx

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Q: Sketch the region R of integration and switch the order of integration. IT rx, v) dx dy 3 У 2 3 3- 3…

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