Find the area of region bounded by the curve y= 2x3+ 8x2-10x, the x-axis and the lines x = -2 and x=1

Q: Find an equation of the tangent line to the graph of the function at the point (-1, 4). y = 4 x y =

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Q: > Read over Example 4 carefully. Then show how you decompose the following rational expression into…

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Q: Suppose z = x² sin y, x = −5s² + 3t², y = -6st. A. Use the chain rule to find 53 33 and as functions…

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Q: -1 tan¹ n n

A: NOTE: Refresh your page if you can't see any equations. . find the limit of the sequence

Q: Find a formula for the function graphed. 2) -8-6-4-2 2 4 6 8 x

A: This is a graph of a piece wise function.see below the equation of function

Q: BOTTOM LINE QUESTION Find the exact area under the curve f(x)=x²e* from x=0 to x=2. Show your work…

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

Q: Find the linearization L(x,y) of the function f(x,y)=2x cos (5y) at the points (0,0) and The…

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Q: x y April 1 1 122 April 7 7 356 April 15 15 1108 April 30 30 3562 May 5 35 4212 May 10 40 4979

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Q: Let Y represent the profit (or loss) for a certain company X years after 1975. Based on the data…

A: We have given model Y=-0.68X+21.75 To get profit in 1993 Put, X=1993-1975 =18 So, Y=-0.68×18+21.75…

Q: Find the absolute maximum and absolute minimum of the function f(x) = Provide your answer below:…

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Q: A 9-ft ladder leans against the side of a house. How far is the bottom of the ladder from the side…

A: Consider  the figure

Q: 12. D(x): = 1800 Vx+1 S(x) = 2√x + 1

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Q: 1. The distance travelled by a model train over a bridge is described using the formula: t² 8 d(t) =…

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Q: Evaluate the series or state that it diverges. Σ (3) 8 k=2 8 3k Select the correct choice below and,…

A: The given series is (3/8)3k, k from 2 to infinity. Repost the next question.

Q: Find the area of the region included between the parabola py2 = x and the line x + y = p.

A: The solution is given below

Q: The following table gives the monthly premiums for an insurance policy on people of various ages. a.…

A: NOTE: Refresh your page if you can't see any equations. . x=age y=monthly premium x y 35 120…

Q: For the right triangle below, find the measure of the angle. Please show your answer to one decimal…

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Q: dx dt Please give an exact answer. If z³ = x³ + y², = dy -2, = dt dz dt Provide your answer below:…

A: To find derivative.

Q: If / (7-4) (x + 8) 12 O 4 dx Adx - A+B 4 Bdx x+8' , then A+B =

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Q: A rectangular box has a width of 7 cm and a length of 1 cm. The volume of the box is decreasing at a…

A: Topic = Volume

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

A: we will find the required.

Q: 4x² - y² = 9 nd y' by implicit differentiation. 4x y = olve the equation explicitly for y and…

A: Topic:- application of derivatives

Q: If g(x) = 5 +x+2e², find g-¹(7) = 1

A: NOTE: Refresh your page if you can't see any equations. . here we need to solve this equation using…

Q: A particle moves along the x-axis so that at time t≥ 0 its velocity is given by v(t) = 6t² − 24t +…

A: We have to determine the intervals when particle is moving right.

Q: How do we call a function that is not a polynomial?

A: Topic = Function

Q: 5 Invert the matrix A 8/1+10/2+713 = 0 511 + 912+4/3 = -9 = 1. 91+11/2+8/3 8 10 7 594 9 11 8 and…

A: Please see the below picture for detailed solution.

Q: = Find a and b so that f(x) is continuous if f (x) = O O a = ¹/2 b 11 a = EE O a= b = 60 7 a = - 96…

A: A function if said to be continuous if its graph has no break on its domain of definition.

Q: dz ds A. Use the chain rule to find dz მყ dz Ot || dz Ot Suppose z = =x² sin y, x = = (-5,5) = and…

A: Please see the below picture for detailed solution.

Q: A function f (x) is continuous at x = a if: 1.a is in the domain of f (x) II. lim f(x) exists x→a…

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Q: Find the absolute extrema of the function defined by x² + y² ≤ 36. Round answers to 3 decimals or…

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Q: Suppose that you can calculate the derivative of a function using the formula f′(x)=4f(x)+5x. If the…

A: Using derivative

Q: Find x. Round your answer to the nearest tenth of a degree. 44 X 24 -0° x =

A: We have given a right angle triangle  From given triangle  Perpendicular (p) = 44 Base(b) = 24 Using…

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: Find the vector equation that represents the curve of intersection of the paraboloid z = surface y =…

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Q: S Using the integration by parts method, 10x ex dx =

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Q: 1. What is the length of the latus rectum of a parabola x² - 8x - 20y + 56 = 0?

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the…

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Q: What is the result of multiplying out (2x − 7)(Ax² + Bx + C)? • Your answers should contain capital…

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Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. 7 r…

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Q: Find equations of the tangent plane and normal line to the surface z + 16 Tangent Plane: (make the…

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Q: Suppose f ¹ is the inverse function of a differentiable function f and f(2)=9, f'(2) = }, then (f…

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Q: Find the derivative of the function. 14 logg(t) t g' (t) = g(t) =

A: Topic = Derivative

Q: An initial investment of $30,000 is made in an account where interest is compounded continuously. If…

A: An initial investment of $30,000 is made in an account where interest is compounded continuously. If…

Q: Between 2000 and 2010, the use of opioids was exploding in the USA. We use MME (Morphine Milligram…

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Q: 32. A kite 100 ft above the ground moves horizontally at a speed of 8 ft/s. At what rate is the…

A: So this involves right triangles. The height is always 100. Let the horizontal be x and the length…

Q: Find y" by implicit differentiation. 2x² + y² = 9 y" = x

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Q: a. Determine all values of x that satisfy the equation: 3x-2 = 27x+5 b. Use the properties of…

A: Topic - Equations We are given a. Determine all values of x that satisfy the equation: 3x-2 = 27x+5…

Q: Select all the true statements. 4 limx→0 ³ (2+3) lim.→-4 3x 2x+8 lim-0 2x² 5x+3 lima→-2 = ∞ x-1…

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Q: 2 x² dx √4-x² 2

A: Let's solve given integration.

Q: Provide the complete sign analysis using a table to clearly indicate the behavior of the function…

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