Find the acute angle in radians between the planes 1x+z=1 and 1y+z=1. You may leave your answer in inverse trigonometric form.

Q: Determine the parametric equations of the path of a particle that travels the circle: (x-4)2 +…

A: We have to find the parametric equations.

Q: 4+4 n i) The sequence { ") is bounded by 3 n ii) The 11 th. element of this sequence is

A: We will the upper and lower bound of the sequence and the 11th element of the given sequence as…

Q: Tind the vudivs and interval of convergense of the powe Series, (-2)" (x+2)" San

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Q: Find the arc length of the parametric curve. x = e', y = e, z = /2t; 0<t<7 L=

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Q: 4. Sketch the function Ax) = 2xª – 16x², indicating any extrema, points of inflection,

A: follows the procedure given below.

Q: The number of concurrent users of a social networking site has increased dramatically since 2001. By…

A: The given question has been solved in detail

Q: sin 4x, + c sin32x. A. sin 2x- (sin 2x - m 2*) 3 + (х + 16 - 8. 16 16 3 sin3, sin x В. 8 sin x 16…

A: Expand (sinx)^6 into single power.

Q: Use the graph to identify the points on the interval (a,b] at which local and absolute extreme…

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Q: 4 csc" xdx 2.

A: We have to find out integral

Q: The graph of the function g(x) = sin (x) is shown. Use the graphing utility to sketch the graph of…

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Q: Suppose that f and h are integrable and that: frx) = -1 , , f(x) dx = 5 , ,h (x) dx = 4 ,Find: a. -2…

A: We have to find the given integrals.

Q: Locate the critical points of the following function. Then use the Second Derivative Test to…

A: We have to find the critical and extremum points of the function.

Q: 4. y = (8x*- 5x2 + 1)* 5. g(t) = -3V7t3 – 1

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Q: Of all rectangles of area 100, which has the smallest perimeter?

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Q: Find the derivative of each function defined as follows: 1. y (2x3 + 9x)5 2. f(x) = -7(3x* + 2)-3 3.…

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Q: 5. S(x): x +4 4 4 b. x2 + 16 a. (x + 4)2

A: We will find out the derivative.

Q: - Let R and S in the figure above be defined as follows: R is the region in the first and second…

A: Given y=3-x2 y=2x

Q: Find the vertex of the parabola, y=x²+4x+1 O a. (2,13) O b. (-2,-3) O c. None O d. (-4,0)

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Q: Find the critical points of the following function. 14x f(x) x2 + 49 Select the correct choice below…

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Q: Evaluate: (- Vy + + 10 )dx 10 5.) y4

A: Note: Since the student has made an typing error by writting "x" as integral variable but the…

Q: Line L is perpendicular to the line 5x+2y-4=0. Find the slope of line L O a. 5/2 O b. -2/5 O c. 2/5…

A: We will use the concept If y=mx+c  is equation of line. Than m is slop of line.   If m1 and m2 are…

Q: Find the x-intercept of the line x+3y-5=0 as a point O a. (0,5) O b. (5,0) O c. None O d. (0,5/3)

A: x intercept can be obtained by putting y=0 in the given equation.

Q: 1.) Evaluate: S(2 + y²)²dy

A: We have to find integral

Q: Find the area enclosed by the given parametric curve and the x-axis. x = 2 sin(t),  y = sin(t)…

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Q: Jcos'xsinx dx 2.

A: (2). Given: I=∫cos3xsinxdx   ...1   We know that, the Power rule; ∫xndx=xn+1n+1+C ; n≠-1

Q: Find the general solution of 2 4 4 X' = -1 -2 0 X. -1 -2

A: To solve the following problem

Q: 4V (7x – 5)5

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Q: Use logarithms to solve the equation for t. (Round your answer to two decimal places.) 20 = 10 1 +…

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Q: ( 3x2-3x-3, if x<3 f(x)=. | 2x² +5x+1, if x 23 Find the value of f(2)+f(3). O a. 32 O b. None О с.…

A: option (e) is correct see below the answer and calculation

Q: Find an equation of the plane through the three points given: P = (0,0, 5), Q = (-4, 2,2), R = (-1,…

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Q: Q2. Let a card be selected at random from an ordinary deck of 52 cards. Let A = [ the card is a…

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Q: 1.) Evaluate: S(2+ y²)²dy 2.) Evaluate: S 1+sinx xp-

A: To evaluate the indefinite integrals:

Q: What is the area of the region between the graphs of y = x – 1 and y : -X – 1

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Q: ) = (";')-G".) Show that: r-1,

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Q: Problem 2: Use trigonometric substitution to show that 1 dx becomes x?Vx? +4 X x´+4 +C 4х

A: Use trigonometric substitution method for solving such integral

Q: 1. Find the following derivatives: d E In (1 + In(t)) dt A P B = In (1 + In(t)) dt dr 1/a d E| In (1…

A: Given problem:-

Q: Use four rectangles to approximate the area of the planar region under the graph of f(x) = 0.3x –…

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Q: amplitude: period: phase shift: 6.

A: Follow the procedure given below.

Q: Perform the operation and write the result in standard form. 3 4 1+i 1-i 7. +

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Q: Match the expression in Column B to complete the statement in Column A. Input the letter that…

A: The given integration,      ∫3x+3xdx

Q: 3. Give the parametric and symmetric equations of the line that passes through he point (4, –3, 5)…

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Q: State sec(cosec÷) in terms of x. Hence solve the equation 1 sec(cos ec 1 2x

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Q: The x-intercept of f(x)=V2x+4 is: O a. There is no x-intercept O b. (4,0) O c. None O d. (-2,0) O e.…

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Q: dx is x V16x2-25 3.

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Q: Find an equation of the inverse relation. x°y= -7 3 ... Choose the correct equation below. O B. y= -…

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Q: Use the formula k(t) = r(t) × r"(t)|| ||r(t)||° to find k(t). r(t) = 7 cos(8t)i+7 sin(8t)j + tk K(t)…

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Q: Determine whether the series converges, and if so find its sum. 1 %3D (k + 5)(k + 6) k=1 (Enter DNE…

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Q: sẽ the point which shows the correct location for the polar coordinate (-2, 180°). 90° 2 4/2 135° 7…

A: point (-2,180) here -2 show radius of circle  180 is angle with x axis here one circle is 1 unit…

Q: If  ?⃗×?⃗ = ⟨−3,5,−4⟩ and ?⃗⋅?⃗ = 4, find tan(?), where ? is the angle between ?⃗ and ?⃗.

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Q: Determine dæ dy and of the parametric equations dy dæ? 1. x (t) = t2 – 4t and y (t) = 2t³ – 6t - -

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