Find the area between y = 3 sin a and y = 7 cos a over the interval [0, 7]. Sketch the curves if necessary. A =

Q: Q.3 - Evaluate |sec xtan.x dx.

A: As we know that ∫sextanxdx=secx+Cand dsecxdx=sectanx

Q: Convert the polar coordinates (2, 57) to Cartesian coordinates. O (1, -V3) O (-1, v3) O (-V3, 1)

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Q: ssignment : Determine the integral of the ff. functions 1. S- 6 dx 2. S 5 x4 dx 3. S ( 4 x7 + 7 ) dx

A: These questions are related indefinite integration, we will solve it using given information.

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Q: A clothing manufacturer has the marginal profit function MP(x) = 40 - 0.02x, Os xs 100 (in dollars…

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Q: Find the general solution of ydy/dx =2/(3x2). O a. y?/2 =-2x/3+ C O b. y/2=-2/3x + C O c. y?/2 =…

A: 1. ydydx=23x22. The slope of the curve is 2x+1, passes through the point -3,0

Q: 2. Jx2Vx3 – 27 dx -

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Express the polar coordinates (V2, -) as Cartesian coordinates. O (-2, -2) O (-1, -1)

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Q: Let F = (3y, -32) and let Crepresent the unit circle oriented counterclockwise. Calculate the…

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Q: 4.x 2x 7e lim 1- e4x

A: We have to find limx→∞ e4x-7e2x1-e4x.

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Q: What is the volume of the region R = ((x. y, z) e R'1 sxs 3:2 sy S 4:3 sz5 5)? %3D Select one: O…

A: Volume of the region R is given by volume=∫13∫24∫35dzdydx

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Q: ] Let D be the region bounded between x + y = 4 and x + y = 9 that lies within the second and the…

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Q: 1. ſ ev¤dx

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Find the indefinite integral. (Use C for the constant of integration.) 5t dt 1 – 25t4

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Q: Evaluate the integral. (Use C for the constant of integration.) (2x4 – 4x-2 + 3x + 4) dx

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Q: f (x) = x1.5 + 2x. We have Find the tangent line L(x) for f(x) near x = 4 and use the tangent line…

A: Consider a function f that is differentiable at a pointx=a.Recall that the tangent line to the graph…

Q: 7) A spherical balloon is to be deflated so that its radius decreases at a constant rate of 15…

A: Given: A spherical balloon is to deflated so that its radius decreases at a constant rate of 15…

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Q: Solve this problem algebraically, using your knowledge of derivatives. Do not solve by graphing.…

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Q: Find the indicated derivative. f (x) = x° sin x; find f(4)(x).

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Q: (7) If 4.5* = 97, an approximate value of x is (A)x = log(97) × 1.987 (C) x = In(97) z 4.575 (B)x =…

A: 7.    4.5x=97 Note:      Multiple questions are given, we are answer with only one question. if you…

Q: The dimensIons of awater tank are 13 cm, 10 cm and 70cm. If it is half-filled with water, cal-…

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Q: y3 r³ – 4x – 1 = 0 3 Find dy/dx and explain why dy/dx is always positive. Where on the interval [0,…

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Q: an onine SOcial group nad 3o0 miion Tme uently, new me m(t) = -3.3t2 + 14t + 230 million members per…

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Q: Find a formula for the total maintenance cost during the first x years. (Total maintenance should be…

A: Follow the procedure given below.

Q: Let 7(t) = (– 5t4 – 4, – 2e“, 2 sin(3t)) Find the unit tangent vector T (t) at the point t = 0 T (0)…

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Q: xy + y² dx dy Find the general solution of

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Sketch and use a double integral to find the area of the region R bounded by the lines: y = 0, y = x…

A: A detailed solution is given below.

Q: Find the length of the following curve. If you have a grapher, you may want to graph the curve to…

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Q: 3 2 3. Vxydydx = Vxdx Vydy Select one: O True O False

A: We will evaluate the Integral of left hand side and right hand side then we will compare them .

Q: Choose point which has the correct location for the polar coordinate (2, 7). 90° 2 WIN 135° 4 7…

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Q: Find the Volumes for the fallowing sollids whose theishts are de fined by ZCXyy) and bases are the…

A: Double integral

Q: Put 3s+4 (s-2)(s²+7) in partial fractions.

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Q: Direction: Find the integral of the following functions: 1. S(5 cos x + 7 sin x) dx 2. S(3tan2…

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Q: d太 2.

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Q: Use the graphs of f and g, shown below, to find the following. yA 4. ((2). If the derivative does…

A: Write the derivative of the form u/v then substitute the value of x at which we have to find the…

Q: 10) For y= Vx+8, use the differentialE dy to approximate Ay when x changes from x=1 to x=0.97

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Q: dy Find for the curve: x dx :4 cos t, y = 16 sin t, 0<t < 2T

A: We have to find dy/dx for the given function

Q: Solve Nonhomogeneous Equations - Undetermined Coefficients (D^2 + D − 2)y = 2x − 40cos2x

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Q: Is this statement true or false?

A: Given a continuous function f on a closed interval [a, b] and f(a) &gt; 0 and f(b) &lt; 0 or f(a)…

Q: e2" (x + 1) cx – e(x4 – 1)dy = 0 d Hint: 4 (arctan x) = dx 1+x*

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Q: 3) Given: f(x)=x* - 5x'+9x? a) Use a sign analysis to show the intervals where f(x) is increasing,…

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Q: Integral 1.

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Q: 1 y dydx %3D 0. Select one: O True O False 2.

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Q: 8. Let y(x) be the solution of the differential equation ry-y-Ina such that y(1) 1. Find y(2). A…

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Q: - CoS I 2. Find the indefinite integral / sin 2x e A 2e-sinz (sinI+1) + const B 2e-sin (sin I – 1) +…

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Q: Find dy for given Values OF x and AX y= 4x315x X=-3 and AX = 0.3

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Q: 3 Find the arc length of the astroid: x = cos t, y = sinº t, 0 <t < 2T

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