Please find the area of a triangle with vertices (1,0), (2,2), (3,1) using integration Using this formula: A=(bh)/2

Q: Use the Theorem of Pappus to find the volume of the torus formed by revolving the circular region…

A: Given expression: x-92+y2=9       ..........(1)

Q: Given f'(x)=x²-x 2 and its graph, use the graph to determine the following. f'(x) 10 X = 2' -4 -3 -2…

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Q: 10 Find the derivative off with respect to x of f(x) = In x¹0. 10 The derivative off with respect to…

A: Given query is to find the derivative.

Q: Solve the following differential equations. 2y dx + x [ x2ln(y) - 1] dy = 0

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Q: Write the product as a sum: 18 cos(35u) cos(12u) =

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Q: 27. In each case, determine whether or not the lines have a single point of intersection. If they…

A: The objective is to solve the above question.

Q: A company introduces a new product for which the number of units sold S is given by the equation…

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Q: Question Using the limit comparison test with a comparison series of 1 determine if the series below…

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Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer…

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Q: 3 a. Find an equation for the line perpendicular to the tangent to the curve y = x - 16x + 4 at the…

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Q: Find the arc length of the graph of the function over the indicated interval. 3 2 (x² + 1)² [0,1] 2…

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Q: or the given graphs, determine the intervals where the graph is increasing, decreasing, and/o…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Calculate R8 for f(x) = 9 - x over [3, 5]. R8

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Q: Using the Gauss-Jordan method solve the following system of equations. x – y + z = 2   7x + y – z…

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Q: verify that the two planes are parallel, and find the distance between the planes. (Round your…

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Q: Question дz Find for z = e9ry dy Provide your answer below: Ple Əy

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Q: A conical tank has height 3 m and radius 2 m at the top. Water level is rising at a rate of 1.3…

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Q: A mathematical model for world population growth over short intervals is given by P = Poet, where Po…

A: Given the model P=P0ert , here P0=population at time t=0, r is continuous rate of growth, t is time…

Q: Simplify completely: -5√45x + 10√125x

A: We have to simplify the given expression.

Q: 10. Refer to the figure and find the volume generated by rotating the given region about the…

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Q: (8,-2) please find 6 trigonometric functions

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Q: dy Solve the following implicit partial derivative dx and select the correct answer: n√√x² + y² +…

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: inflection point =[2π,0] concave up= [2π,4π] concave down=[0,2π]

Q: Mrs. Smith switches back and forth between her normal self, Alice, and her intimidate alternate…

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Q: If √x + √√y = 12 and y(9) 81, find y' (9) by implicit differentiation. =

A: Given, x+y=12y(9)=81   Aim: Find y'(9)

Q: x²y² lim (x,y)-(0,0) x++y*

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Q: Use Implicit Differentiation to find equations of the vertical and horizontal tangents to the curve…

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Q: Find an equation of the tangent plane to the given surface at the specified point. z = ln(x − 8y),…

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Q: If-xy² + x² x² - 4 4 = -y³ and it is known 2 y² - 2x -2xy+3y², find all coordinate points on the…

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Q: Determine whether the function f(x) is concave up or concave down at the indicated points. (a) x =…

A: We need to determine concavity.

Q: 1. g(x)= 3tan 3x 2. y=x sin¹2x+cot¹ √x 3. f(x)=sin ¹. ¹ 4. y = (arc csc 2x) 5. G(x) = 5x Cos ¹2x 6.…

A: Let's find derivative.

Q: Let H(x)=F(G(x)) and J(x)=F(x)/G(x) Suppose F(3)=4, F′(3)=−7 G(3)=3, G′(3)=−4 G(8)=3, G′(8)=−5 then…

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Q: Calculate the third derivative of the function: f(x) = 11 (x + 2)³

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Q: 2 The curve y = ax + bx+c passes through the point (1,8) and is tangent to the line y = 5x at the…

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Q: Gina is analyzing a population of zigga-zoos that follows the following gompertz differential…

A: See the details solution in below

Q: 2 dx га =

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Q: Find the derivative of y with respect to t: y = sec¯¹ (9t5 + 8). dy dt

A: Given; y=sec-1(9t5+8).

Q: Simplify. State the values excluded from the domain, if any. p²-6p+8 p²-8p+12 P-4 P-6P 6 and p = 2…

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Q: +6. Consider the function f(x) = 3x + Enter the number of critical points/numbers of f(x). 2…

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Q: Suppose a is a positive integer. Simplify the expression a Σ((n + 2)³ + n³ − 2(n+1)³). n=1

A: We need to evaluate∑n=1a((n+2)3+n3-2(n+1)3)

Q: 1. Use transformations to sketch a graph of the function below. Draw each transformation separately,…

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Q: Find the radius and center of the sphere. [Hin 2x² + 2y² + 2z² +4x-16z = - 18

A: The given equation is  2x2+2y2+2z2+4x-16z=-18  Find the radius and center.

Q: Consider the surface defined by z = f(x, y), where f(x, y) = (x + 1)² + (y - 1)² + 4 (a) Draw the…

A: We can draw level curves.

Q: evious Problem Math134 03 BasicDerivatives: Problem 11 (1 point) Find an equation for the line…

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

Q: Design a differential equation whose fundamental solutions are y₁ (t) = e-t/2 and y2(t) = e-2t.

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Q: y varies jointly as x and z and inversely as w, and y=3/2 when x = 2,z = 3 and w = 4. Please explain…

A: Given,y varies jointly as x and z and inversely as w,  y=xzw

Q: The length of a rectangle is increasing at a rate of 3 cm/s and its width is increasing at a rate of…

A: The length of a rectangle is increasing at a rate of 3 cm/sand its width is increasing at a rate of…

Q: A company introduces a new product for which the number of units sold S is given by the equation…

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Q: Use the disk method or the shell method to find the volumes of the solids generated by revolving the…

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Q: Suppose that the monthly cost in dollars of mining a certain ore is related to the number of pieces…

A: Suppose that the monthly cost in dollars of mining a certain ore is related to the number of pieces…