If f(x) is continuous on the interval [a, b] and a

Q: Evaluate (2x – y) dx + (x + 9y) dy. C: x-axis from (o, 0) to (0, -9) and (0, -9) to (9, -9)

A: We will evaluate the given integral as shown below

Q: Consider the solid a drawn in the first octant, as shown below, which is formed by the surfaces y =…

A: We have to find the mass of the solid.

Q: Find the area enclosed by the given curves. Find the area between the curves y = In x and y = In 3x…

A: Solution:

Q: Determine the area of the region bounded by x = y2 – y -6 and x = 2y +4.

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Q: H.W: find the angle between the planes x + y = 1 and 2x + y- 2z = 2

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Q: Find the distance from the point S(0,0,12) to the line L: x = 4t , y=-2t z = 2t

A: Write the vector of the given line using x=4t, y=-2t, and z=2t. L→=xi→+yj→+zk→   =4ti→+-2tj→+2tk→…

Q: 2021.10.02 11:01 THe COHHmon Factors of 36 and 54 are1, What I Have Learned In finding the common…

A: Divisibility

Q: Clairaut's Theorem Let DCR be a disk containing the origin and assume that g: D→R is a function…

A: Given

Q: r(t) = 4 cos(t)i+4sin(t)j; t = 3 /3 1 2/2' 2/2 -V3 2/2' 2/2 1

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Q: Given the function below f(x) = V-80x + 144 Find the equation of the tangent line to the graph of…

A: Given :

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

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Q: Find the antiderivative of f(x) = 2 csc2 a given that f () = 1. 4.

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Q: Write the equation of a sine or cosine function to describe the graph.

A: We need to find equation of sine/cosine function.

Q: A street light is mounted at the top of a 15 ft tall pole. A man 6 ft tall walks away from the pole…

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A: Given query is to find the maximum profit.

Q: 2. Consider points O(0, 0, 0) and A(0, 0, 3). Show that the set of all points P such that 2|OP| =…

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Q: Calculate the derivative. y = 2 cosh (x) coth (x) (Give an exact answer. Use symbolic notation and…

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

A: We use the concept of derivatives to find the absolute minimum and absolute Maxima

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

A: Use limit concept

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

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Q: Provide an appropriate response. Find f(n) if f(t) dt x sin 8x.

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Q: Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round…

A: Solve the following

Q: The integral of the given function csc °x dx is equal to 3cos x-10stn²x cos>x-15sin"xcosx + C…

A: I=∫ csc6x dx =∫ (cot2x+1)2 csc2x dxu=cot xdu=-csc2x dx=∫ -(u2+1)2 du      =∫(-u4-2u2-1) du…

Q: Let y = tan(4x + 4). Find the differential dy when x = 4 and dæ 0.2 Find the differential dy when x…

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Q: Q7. A savings account has £25,000 invested for 4 years @ the rate of 6%. What is the value of the…

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. •3 ti + ti dt

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Q: 5. Find the critical numbers, and the intervals of increase/decrease for y=ln(4-x) %3D

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Q: A region Rxy, in the XY plane, is shown below: A) 1- JJRa 2r + 3y – 6 = 0 2r +3y+1 0 Rry %3D…

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Q: Ben is a fisherman with a boat in Rhyl harbour. This is part of a graph of the depth of water at the…

A: According to guidelines,  we must answer only three of the multipart questions given. Please…

Q: 2. Find the absolute minimum and the absolute maximum of the function f(x) = x - 4r +5 on the…

A: Steps to find the absolute maximum and minimum of a function f(x) on [a,b].  : Find the critical…

Q: Write the equation of a sine or cosine function to describe the graph.

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Q: Mark the critical points on the following graph. 교e-등, 98 980+ 882 784 686 588 490 392 294 196 98

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Q: sin sin ³ O de *と

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Q: Find c > 0 such that the area of the region enclosed by the parabolas y = x2 - c and y = c – x² is…

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Q: Consider the curve parameterized by x 3t2 15 and y 2t 15. Find equations for all tangent lines to…

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Q: 3 Dax has a banner that is 7 feet long and 5 feet wide. He wants to make a new banner that has the…

A: As per our guidelines we can help you in solving only first problem rest of the problems you have to…

Q: [1 1 3 3 1 3 3 0 2 1 1 1 1 2 0 1 2 1 0 1 1 3 6 2 1 4 2 3 2 1 2 4 2 1

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Q: Find the area of tge region bounded by the loop of y^2 = x(5-x)^2 -about plane area, complete…

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Q: After using Pythagorean identities to solve the integral of (sinx)^5*(cosx)^5, the next step would…

A: The given integral is; I=∫sinx5cosx5dx   We know that the Pythagoreans identity; sin2θ+cos2θ=1 The…

Q: dy 1. Find for the following: - dr f. 4x² - 9y² = 36 g. -+-=1 X y ... h. 3x°y+2xy² = 4 i. (3 - 2x) =…

A: f.4x2-9y2=36Differentiate w.r.t.x4×2x-9×2ydydx=08x-18ydydx=08x=18ydydxDivide18y on both…

Q: An object moves with velocity as given in the graph below (in ft/s How far did the object travel…

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Q: Evaluate (2x - y) dx + (x + 7y) dy. C: x-axis from x = 0 to x = 6

A: ∫c(2x-y)dx+(x+7y)dy x axis means y=0 dy=0 limit of x from x=0 to x=6

Q: B) Determine the net area for y on the interval %3D

A: Here is the solution:

Q: mZA = 70°, c= 26, a = 25 %3D %3D

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Q: 1 Let F be a vector field in IR whose components have continuous partial derivatives. Consider the…

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Q: Find the equation of the line tangent to the graph of fox)= (In x) at x=8 (Type your answer in…

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Q: dy 3. Use logarithmic differentiation to find dx for y= Vxe* (x' +1)"

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Q: The function f is given by f(x)=9.x^2/3+3x-6 has a relative minimum at x=? A. -8 B.-1 C.-1/8 D.0

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Q: Ben is a fisherman with a boat in Rhyl harbour. This is part of a graph of the depth of water at the…

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Q: 4. The path of a baseball relative to the ground can be modelled by the function dlt) = – f² + 8t +…

A: derivative