Evaluate the following: 1. S sin³ 4xcos³4xdx

Q: Activity 1. What's My Extrema? Identify the extrema (both minimum and maximum) of the given graphs b...

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Q: Examine the benefits and drawbacks of decomposition-based integration.

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Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x? + ...

A: Given equations are:  x2+y2-2ax=0x+y=2a   The bounded region is rotating about the line x=0.

Q: The rate of change of the population of Calcville can be modeled by the function P'(t) = 13.4e0.04 w...

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Q: Find the vector component of v = (4, 7) along b = (2, 6, –9) and the vector component of v orthogona...

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Q: Solve for the projection of the vector P = (3,4, 4) onto Q = (0, -2, –5). What is the exact measure ...

A: Given, P = <3, 4, 4> and Q = <0, -2, -5>  

Q: Ja 1. Suppose a < b< c, solve: i. (x) - g(x)]dx ii. (x)dx

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Q: view Policies Current Attempt in Progress An open box is to be made from a 33 ft by 88 ft rectangula...

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Q: Find the points of discontinuity for 3(x+2)2 x3 + 4x2 + x – 6 a) h(x) = 6х— х2 b) f(x) = 9 – x2

A: we will find domain in second question and then find discontinuos  point.

Q: Express the integral in terms of the variable u, but do not evaluate it. 7x/10 – x? d; u = 10 – x² N...

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Q: Use the given graph of f over the interval (0, 6) to find the following. y -1 1 (a) The open interva...

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Q: Find the point on the graph of the function that is closest to the given point. (х) 3 (x - 1)2, (-5,...

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Q: 5. Suppuze that.the..are..a.regian.is 2 SinG 3T/4 rdrd@..sketch. the.vego.and. T/4 find the.al.RMa.

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Q: Find the volume of the solid generated by revolving the area bounded by x² – 2kx – 3ky + k² = 0 and ...

A: Given curves are:  x2-2kx-3ky+k2=0 3x-3y+k=0 The area bounded by them is revolving about the line x=...

Q: 0. You are constructing a cardboard box with the dimensions 50 m by 20 m (see the figure below). You...

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

Q: Use the Root Test to determine if the series converges or diverges (-1)"2* (-1)"2ñ zuć en? (2n2 – 1)...

A: Given problem:-

Q: Evaluate the function y = - for x = 3 to x = 5 in steps of 0.5. Write the complete x+ code

A: % Matlab Code% defining the range for xx = 3:0.5:5;y = (x) ./ (x+(1./x.^2))

Q: 11. Which model seems most appropriate for this scatter plot? a. linear b. quadratic c. exponential ...

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Q: G Coshx dg G Sahr teンdx Anri y Ceshx = c

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Average Rates of Change Use each graph to estimate the average rate of change of the percentage of n...

A: We need to find the average rate of change for the given graphs.  

Q: Find the area of the region that is enclosed between the curves a = y and x= y - 2 integrating with ...

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Q: Let f(x) = 2x² 11a + 4 - The slope of the tangent line to the graph of f(x) at the point (2, 10) is ...

A: This is a problem related to derivative of the function. Please follow the procedure given below.

Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² + ...

A:   ---------------------------------------------------------------- x2+y2-6ax=0                     ...

Q: Consider the following. y = 5x2 - 10x + 4 (a) Find the interval(s) of increase. O (1, o) O (2, 0) ㅇ(...

A: Given query is to find interval of increasing , decreasing and maximum, minimum.

Q: Find the differential dy of the given function. y = arctan(x - 2) dy dx

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Q: Find the area of the parallelogram that has u = 2i – 3j + 2k and 2j +k as adjacent sides. NOTE: Ente...

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Q: Activity 2: Determine the absolute extrema of the function f(x) = x - 12x on [0, 4]. %3D Show comple...

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Q: A farmer builds a rectangular grid of pens with 1 row and 5 columns using 550 feet of fencing. What ...

A: Given problem:- A farmer builds a rectangular grid of pens with 1 row and 5 columns using 550 feet o...

Q: 3 2 1+ X 1 Let R be the region in the first quadrant enclosed by the graphs of y = 10e- sin x and th...

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Q: Find the area of the triangle with vertices P(1, 4, -4), Q(0,0,0) and R(4, 6, 1). NOTE: Enter the ex...

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Q: If a cars position on a straight road is given by p(t)=t^3-6t^2+8t find the inflection point for the...

A: Given query is to find inflection points.

Q: Use polar coordinates to find the volume of the given solid. Above the cone z = (x2+y2)1/2 and belo...

A: We have to determine volumes of given solid

Q: "iew Policies Current Attempt in Progress Find the vector component of v = 2i – j+ 3k along b = 6i +...

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Q: etermine whether the functions y, and y, are linearly dependent on the interval (0,1). y, =2 cos t-1...

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Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² + ...

A: Given equations are:  x2+y2-6ax=0x+y=6a The small bounded region is rotating about the line x=0.

Q: Use differentials to approximate the value of the expression. Compare your answer with that of a cal...

A: The given expression,        3.993

Q: (8. e Sin y Ausi Sin 2

A: Solution is written in below steps.

Q: Use differentials and the graph of f to approximate the following. (Round your answers to two decima...

A: The graph of f is linear near the point (6, 4) and approximately coincides with the line passing thr...

Q: Find the total value TV of the given income stream and also find its present value PV (at the beginn...

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Q: If the infinite curve y = e-*, x > 0, is rotated about the x-axis, find the area of the resulting su...

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: A street light is at the top of a 16 ft tall pole. A woman 6 ft tall walks away from the pole with a...

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Q: find an equation for the tangent line to the graph of y=(5-2x)^2 at (3,1).

A: Explanation of the answer is as follows

Q: Current Attempt in Progress Verify that the hypotheses of the Mean-Value Theorem are satisfied for f...

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Q: A boat is being pulled toward a dock as shown in the figure to the right. If the rope is being pulle...

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

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Q: 2. Determine f'(-1) for the function f(æ) = (x" – 2r° + 1)(x³ + æ -- 2). 8 (B) 12 (C) 14 (D) -4 (E) ...

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Q: 6. Given f(x) =x° and g(x) = x, sketch h(x) = f(g(x)).

A: As you mention question no. 6 solved

Q: У7-"(10т — 1)" —п n=0

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