1 (2 + -4 (x - 2)² + 2x + 1 x² +9 dx

Q: 16 Find the critical points of the function h (x) = x + and classify them as either local maxima or…

A: h(x)=x+16xfor critical points put h'(x)=0d dx(xn)=nxn-1if h''(x)<0, than maximumif h''(x)>0,…

Q: Derivatives inverse thank you

A: Here we have to find the tangent line.

Q: Gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. It forms a shape…

A: Given Data: The rate of volume of gravel dumped is: dVdt=10ft3/min The relation between the base…

Q: Use linear approximation, i.e. the tangent line, to approximate 8.2 as follows: Let f(x) = x. The…

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Q: Find the work required to move an object in the force field F = (1,1,2) along the straight line from…

A: Solution is given below:

Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

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Q: Evaluate the limit using L'Hôpital's Rule. 8 0-2 HIL lim x 0 4(e- e *) sin(2x)

A: To evaluate the limit of the function

Q: Find f'(-2) (This slope should match the tangent line you drew above.) Find f'(0) Find f'(1)

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Q: The Sumeru Akademiya wants to manufacture Canned Knowledge in literal cylindrical cans that could…

A: Solution: a. The cost of production C can be modeled as: C(r,h)=2πr2(0.02)+2πrh(0.01) Where the…

Q: In Exercises 21 and 22, determine a formula for the exponential function whose graph is shown in the…

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Q: An inverted pyramid is being filled with water at a constant rate of 35 cubic centimeters per…

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Q: Suppose that f(x, y) = y√ x³ + 1 on the domain D = {(x, y) | 0 ≤ y ≤ x ≤ 2}. Then the double…

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Q: Find dy/dx by implicit differentiation. x sin(y) + y sin(x) = 5 y' =

A: As per our guidelines we are supposed to answer only one question. Kindly repost others questions as…

Q: Find the absolute maximum and minimum values of the function, if they exist, over the indicated…

A: If x=c is a critical point of the function f(x) if f(c) exists and if either f'(c) =0 or f'(c) does…

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

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

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: A lighthouse stands 500 m off a straight shore and the focused beam of its light revolves four times…

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Q: Free Response 11 The function is defined by the power series f(x) = 1 + (x+1)+ (x + 1)² ++ (x + 1)²…

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Q: 7. Set up the integral for the total fluid pressure of on the plate submerged in water in the…

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Q: Minimizing Construction Costs The management of the UNICO department store has decided to enclose an…

A: let  x= length of steel fence        y= length of one side of pine boards   given:  xy=842 y=842x…

Q: Find the surface area of the part of the plane z = 3+ 7x + 6y that lies above the rectangle [1, 6] ×…

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Q: Let f(x)=x² + 5x + 1 and (t) = n(t) + et. Use your calculator to evaluate the following valuesounded…

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Q: The Sumeru Akademiya wants to manufacture Canned Knowledge in literal cylindrical cans that could…

A: a. The cost of production C can be modeled as: C(r, h) = 2πr^2(0.02) + 2πrh(0.01) Where the first…

Q: The graph of y=f(x) (solid) and its tangent line at (0, 2) (dashed) is shown. 10-9-8-7-6-5 10- 9 8 7…

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Q: Find the centroid of the region bounded by the given curves. x + y = 2, x = y2

A: According to question,Given curves,x+y =2,x = y2

Q: 42. √(x + (x + 4) ² dx

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Q: Make a table of values and sketch the graph of the equation. x + y² = 9 y

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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: Find: U(x1, x2) = 2X1X2 O X1X2 2x1 2 2x2

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Q: (x + 4)² dx

A: 42. The given integral ∫x+42dx. We have to find the integral.

Q: S dx 2√x+3+3

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: Find the slope of the tangent line to the ellip x² y² + 25 4 slope = = 1 at the point (x, y).

A: given ellipse equation is :-x225+y24=1  then we have to find slope  of the tangent  line to ellipse…

Q: Find (5 cos(x) + 6 sec²(x)) dx (5 cos(x) + 6 sec²(x)) dx = +C

A: Integration

Q: Find the complex zeros of the quadratic function. Graph the function. f(x)=x²+36 x= (Simplify your…

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Q: Use Green's Theorem to evaluate the line integral. Assume the curve is oriented counterclockwise.…

A: Green's Theorem: ∫CMdx+Ndy=∫∫R∂N∂x-∂M∂ydA And use the equation of the line when it passes through…

Q: Enclosing the Largest Area The owner of the Rancho Grande has 3,044 yd of fencing with which to…

A: Let x (in yd)  be the length of the side of land along the river and y(in yd) be the length of…

Q: ((x+2)−2/3) + (x+2)¹/3 4. f(x) = x (1²(x+2)-2/3). Note: This is the form that the first derivative…

A: We need to find out the intervals where function is negative and where function is positive.

Q: Change the order of integration by integrating first with respect to z, then x, then y. LET* -2 JO 6…

A: Here we have to change the order of the triple integral.

Q: A graphing calculator is recommended. Graph the function in each of the given viewing rectangles.…

A: The given function is: kx=x432-x2+2

Q: Find (x + 2)(x-7)dx (x + 2)(x − 7)dx= + C

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Q: Determine the volume of the solid whose base is the region R in the xy -plane that is bounded by the…

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Q: An object is moving with velocity (in ft/sec) v(t) = t² – 3t+4. At t = 0, the object has a position…

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Q: [6 sin [6 sin(8x) dx = [ Find 6 sin(8x) dx +C

A: To find the integral of 6sin(8x).

Q: Find and sketch the domain of the function. f(x,y)=√y-x-3

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Q: Find the center and radius of the circle with the given equation. x² + (y - 3)2 = 16 (x, y) = (0,3…

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Q: Find the inflection points of f (x) = x² + x³ = 30x²2 +9. Enter the exact answers in increasing…

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Q: Suppose an unknown radioactive substance produces 7200 counts per minute on a Geiger counter at a…

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Q: Find the minimum cost of a rectangular box of volume 190 cm³ whose top and bottom cost 4 cents per…

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Q: Solve equation (10) from Section 7.4 + ["i(t) dr = E(t) (10) L+Ri(t) + dt subject to i(0) = 0 with…

A: The given differential equation is: Ldidt+Ri(t)+1C∫0t i(τ) dτ=E(t)