Suppose that f'(x) = x*. Match the concavity for the curve y = on (1/5, 1/4) on (3/10, 2/5) on (3/5,4/5) Choose... Choose... Choose... + f(x) on the indicated intervals.

Q: 1. Suppose that y is defined implicitly as a function of r by the following equation: 3y² + 2xy + x²…

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Q: Let f(x,y) = 5xy4 + 5x²y. Find 224 ах = a²fa²fa²f 1 2' ахду' ax2' ay²' and 224 дудх

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Q: f(x) = x4−32x−12  Determine where the function is concave up and concave down. Enter your answers…

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Q: Simplify the following expression: O sin²(u) O 1 - sec²(u) O sin(u) O cos² (u) Ⓒ 1 - cos(u) cos(u)…

A: formula used is  secu=1cosusin2u+cos2u=1

Q: Find the slope of the function's graph at the given point. Then find an equation for the line…

A: Given query is to find the slope and the equation of the tangent.

Q: Find lim Le sin x] if the limit exists, where [-] denotes the greatest integer function. See page…

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Q: Question 8 Consider the indefinite integral U= du = x5 (x6 + 4)6 This can be transformed into a…

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Q: 4 n=1 What is the expansion of the series 4+1?

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Q: Evaluate the integral by making the appropriate substitution: u = f2¹ (25 - 4) 43³dz = dx 43 fz¹ª…

A: To evaluate the integral.

Q: Determine the x-coordinate(s) of any relative extrema and inflection points of the function y=x³ In…

A: Solution: y=x3lnx4 This can be written as y=x3(ln(x)-ln(4)) Then: for having any relative extrema…

Q: n-1 2)Let an = 2( 2 (²1) ¹²-¹ Write the first 5 terms of an. Σ ¹00 k=1 ak

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Q: (2/7/277) 2√2 4 Find the slope of the tangent line to the graph of y = arcsin(2x) at the point Round…

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Q: Evaluate the line integral, where C is the given curve. 2 xeyz ds, C is the line segment from (0, 0,…

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Q: Find the derivative of: 7 sin² ( – 2xº).

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 6. Σ. 5 7. = + = =+ = + - + 7.-+-+ 27 2k 3hti + ..

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Q: Solve: y (cosx)= (9+ y²)

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Q: the graph of the piece-wise defined function below, f(x), find the following -3 -2 ain: ge: 6 4 3 27…

A: Given query is to find domain,range and interval of increasing and decreasing.

Q: Consider the following. Find f'(t) and g'(t). f'(t) = g'(t) = f(t) = t sin(t) g(t) = 1 + t…

A: Let's find derivative of given function.

Q: Evaluate the integral 0 L 6x (x²+1)³/2 dx.

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Q: Use trigonometric substitution to evaluate the integral (a) arcsin(r)+C 9x 9 - x² √9-x² (b) 9x + C…

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Q: Suppose that an automobile's velocity starting from rest is v(t) = lecimal place. O 3.3 ft/sec2 O…

A: Acceleration

Q: Find the Taylor series (general form) of f(x): 1 X centered at x = 1.

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Q: Prove that for any positive integer n, 4 evenly divides 32 -1.

A: Let's prove that 4 evenly divides 3^(2n) - 1.

Q: Given the graph below, solve the following inequality: h(w) ≥ 0 +10 +n(w) 9 8+ 9 1 74 6 5 16 4+ 3 2…

A: Using root of quadratic equation

Q: 4 3. After an appropriate trigonometric substitution, the integral ²√²+4 dx becomes (c) / cot (d) S…

A: To evaluate the integral

Q: 14) y = Tan¹ (3); dy =?

A: 14) y = tan-1( x2 ) dydx = ?

Q: Using Laplace transform to solve the IVP: y" - 7y=e5t, y(0) = 0, y'(0) = 0, then, we have Select…

A: We know, L{y"}=s²L{y}-sy(0)-y'(0) L{y'}=sL{y}-y(0) L{eat}=1/(s-a)

Q: y = 12 - x², y = x² - 6

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Q: 32. The radius of a circle is increasing at a constant rate of meters per second. What is the rate…

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Q: Vector v is shown in the graph. पं احبه N T > 51 a 3 0 -1 N do O ||v|| = 9.220; e = 54.462° 2 Which…

A: To determine the magnitude and direction of given vector.

Q: Find the sum of the series 65+ 513 5/9 + LO 5 27 - 5 81 +

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Q: The volume of a sphere is increasing at a constant rate of 1827 cubic centimeters per second. At the…

A: To find the rate of change of surface area of sphere.

Q: Set up an integral which calculates the total distance traveled by the drone between t=1 and t=2?…

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Q: Consider the function f(x) = x + sin(2x) defined on the interval [0, 2x]. Verify that the mean value…

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Q: Identify the circle that has center (6,-3) and radius 3. Select the correct answer below: O (x+3)² +…

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Q: Find the area of the given region. Use a graphing utility to verify your result. y = 1 + In x³ X y 1…

A: We can find the area of the region .

Q: speed

A: We have to find the speed according to the given information

Q: Find dy/dx. x=tsin(t), y = t² + 5t

A: SOLUTION-

Q: A ladder 15 feet long is leaning against the wall of a house (see the figure below). The base of the…

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Q: 1 cm?

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Q: Differentiate the function. y' = y = In ( 16 = 3x²|)

A: we know that   dlnxdx=1xdxndx=nxn-1dconstantdx=0given  y=ln6-3x7

Q: ) If we would like to solve the following differential equation by variation of parameters 3x then…

A: We check whether the statement is correct or not .

Q: 14. Given g(x) = f(t². + 6t16) dt, find intervals on increasing / decreasing and concave up/ concave…

A: The given integral function is: g(x)=∫-22x t2+6t-16 dt

Q: Find the derivative of the function g(x) = g'(x)= = e² 4 - 2x

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Q: For a given commodity and pure competition, the number of units produced and the price per unit are…

A: Let's find consumer surplus and producer surplus.

Q: 1 1 If g'(4) = 4 and h'(4) = 18, find f'(4) for f(x) = 79(x) + 3h(x).

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Q: Consider F and C below. F(x, y, z) = yz i + xz j + (xy + 10z) k C is the line segment from (2, 0,…

A: Solve the following

Q: Consider the following curve. 1 + x 4 + ex Find y'(x). y'(x) = y = 1 Find an equation of the tangent…

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Q: Determine the values of constants a, b, c, and d so that f(x) = ax³ + bx² + Determine the values of…

A: Given,            fx=ax3+bx2+cx+d has a local maximum at the point 0,0 and a local minimum…

Q: 12) y = 2-X; dy 3x+1 A) -7 (3x+1) dy = ? ² B) 6X-5 (3XH) 2 c) (3x+1) D) = ¹ 3+2X

A: NOTE: Refresh your page if you can't see any equations. . take derivagive