y=1/x²₁ y = 8x₁ y=x/8

Q: y = 2x-3 2 x² + 4

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Q: Evaluate. Then interpret the result in terms of the area above and/or below the x-axis. [(x²-3x) dx…

A: Here, we have given a definite integral and we have to evaluate it we have to find what amount of…

Q: Equation Conversion from Polar to Rectangular Coordinates r² = x² + y² r cos 0 = x 2. Convert each…

A: As per Bartleby guidelines rule I am answering only first three questions.

Q: Find the first three derivatives of the function h(x) = 3 + 4x³ −3+7

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Q: D. Graph each of the given functions and solve for the area of the region that they enclose. 1. f(x)…

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Q: where y is considered to be a function of . In this exercise, you will determine whether or not y =…

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Q: Let R be the region bounded by the functions f(x) = -4x² - x and g(x) = -5x as shown in the diagram…

A: This question can be solved using the concept of area bounded by two curves.

Q: The graph of r = -2+3 cos is symmetric with respect to the O x-axis and origin origin only

A: given r=-2+3cos∅   it is the equation of limacon.

Q: A farmer wants to fence a rectangular field with an area of 1.5 million ft2. Then he will divide it…

A: Given:             Area of rectangular field A=x·y                                        1.5×106=xy…

Q: Evaluate the limit using L'Hopital's rule. Answer should be expressed as a whole number value, no…

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Q: 2. Find an equation for the plane that passes through the points P = (2,-1,3), Q = (0,0,5) and…

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Q: Verify that * / II 21 ?х ду 224 ду ох - for f(x, y) = 4x4y3 - 6xy5.

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Q: INSTRUCTION: Please box your final answer. Find the Laplace transform of the following: 1. y" + 2y'…

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Q: A drug is injected into the body in such a way that the concentration, C, in the blood at time t…

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Q: II. INDETERMINATE FORMS tan 2x-2 sin x 4. lim x3 x →0

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Q: A plane flies at a speed 580 km/hr at a constant height of 12 km. How rapidly is the angle of…

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Q: (1) / 25 5 + 7x dx √x T/3 1+(cos0)² de (cos 0)² √3/³ 1 + (3) √x-4\dx

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Q: Instructions: Evaluate the following integrals involving the powers of secant, tangent, cosecant,…

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Q: 2. Find an equation for the plane that passes through the points P=(2,-1,3), Q = (0,0,5) and…

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Q: Find the slope of the line if it is defined. Through (6,10) and (6,-3) Select the correct choice…

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Q: Obtain a formula that expresses the integral [cos". cos" x dx

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Q: Given f and g are continuous functions and f(x) dx = -3 and g(x) dx = 5. What is [3f(x) + 2g(x)] dx…

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Q: 1) x² + y² + 18x - 26y +246 = 0 3) x² + y² + 16x +10y + 80 = 0 5) x² + y² - 22x+26y +254 = 0 7) x² +…

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Q: The height and radius, respectively, of a cylindrical tank is 5 m and 2 m. If the tank is full of…

A: Given that: Height = 5 m Radius = 2 m We take a slice of height △x at a height x So the volume of…

Q: 2 2) x² + y² - 16x + 18y + 96 = U 0 4) x² + y² + 28x + 28y +376 = 0 2 6) x² + y² - 16x-20y+128 = 0 0…

A: Solution is here

Q: 2 1) x² + y² + 18x - 26y +246=0

A: Topic = Equations Only question 1 is answered , As per asked by student.

Q: The region is bounded by y = x³, y = 2x + 4 and y = -1. The x-coordinate of the centroid of the…

A: We first sketch the given region using a graphing calculator.  We will consider the graphs about…

Q: 5x+√x 3.y=(x²+1)² 4. Using y = 5x + 3x² + 1, find all the derivatives and evaluate f"(2) f(3) (-2).…

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Q: 1. Consider a point in Cartesian coordinates given by (3√//3, -3,-8). (a) Find a corresponding…

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Q: A farmer finds that if she plants 75 trees per acre, each tree will yield 50 bushels of fruit. She…

A: Given this problem we find how many trees should she plant per acre to maximize her harvest.   Here…

Q: ¹ (²³) 4- If f(r) = cot-1 + tan-¹ prove that f'(r) = r²+4

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Q: dx Consider the integral S (x - 2)³/21 (a) Why is this an improper integral? (b) Determine if the…

A: ∫ 241x-232dx

Q: Write a linear cost function for the situation. Identify all variables used. A parking garage…

A: Given query is to find the cost function.

Q: Use the intermediate value theorem to find the value of c such that f(c) = M. f(x) = = x² - x + 1 on…

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Q: ff. W Ex] Let f(x) = 4x²+2x²+x+3 and :f(x), g(x) € 75[x] f(x). g(x). g(x) = 3x² + 3x²³² + 3x² + x…

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Q: Let zy Find dx dt dy dt 3 and when I 2. 2.

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Q: An inner city revitalization zone is a rectangle that is twice as long as it is wide. The width of…

A: here lets assume width of rectangle is b length of rectangle is 2b width change is db/dt = 43 m /…

Q: -1/2 Find the gradient of f(x,y,z) = (x² + y² +2²) −1/² + In (xyz) at the point (1,2,2). Vfl…

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Q: The region is bounded by y = x² - 9 and y = x + 3, find the area.

A: Solve the following

Q: Find the limits analytically. Show all work and use proper limit notation. √x² +8-3 1. lim X-1 x+1

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Q: Find the area bounded by x²y = x² - 4 and x-axis, from x = 2 to x = 4.

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Q: Let f(x) = x + 5 and let g(x) = x^2 + 5x. Specify the domain of f(x)/g(x).

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Q: In 1991, there were 41,144 shopping centers in a certain country. In 2001, there were 48,157. (a)…

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Q: 3. A rectangular plate is submerged in water as shown below. The top of the blue region is the…

A: Given

Q: Q1/ From the following table of values, find the approximate value of f '(1.5)? X 1.0 1.5 2.0 3.0…

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Q: хра (q

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Q: 2. Solve for the volume of solid of revolution formed by rotating the area bounded by y = x² + 2, x…

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Q: Estimate the slope of the line given to the right. Select the correct choice below and, if…

A: slope of line = (y2 -y1)/(x2 -x1 ) here y2 = 5 y1 = 0         x2 = 1    x1 = 0 slope = (5-0)/(1-0)…

Q: dx √81+16x² S

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Q: Where is f(a) not continuous? JAROMEN M 0 :-2 SE 4 O 0 02 O nowhere O-2 and 2 O-2 0 2

A: here in graph we see that function is not contineous at 2 and -2 value there is not contineous graph…