Given that cos A =-9/41 and that angle theta terminates in quadrant II, then what is the value of sin f

Q: Employ trapezoidal rule to approximate value of the integral f(x) dx using the table given below. x…

A: This question can be solved using the concept of trapezoidal rule for n=4. Here we have taken…

Q: C) = ("; ')-,",) + Q1. Show that :

A: We have to prove the given expression.

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: Choose the point which shows the correct location for the polar coordinate (1, ). 90° 412 135° 7…

A: To choose the point which shows the correct location for the polar coordinate 1, 5π6.

Q: Choose the point which shows the correct location for the polar coordinate (-2, - ). 90° 2 W// 135°…

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Q: Of all rectangles with a perimeter of 33, which one has the maximum area? (Give the dimensions.) The…

A: perimeter of rectangle = 2(l+b) = 33 l+b = 33/2 l = 33/2 - b area of rectangle = l*b (33/2 -b)(b)…

Q: If the slope of the tangent to f(x)= a(x-1) + bx at the point (2, determine the values of the…

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Q: Convert the Cartesian equation x 2 + y 2 - 6x = 0 to a polar equation.  r² = 6cosθ r = 6sinθ r =…

A: The given Cartesian equation x 2 + y 2 - 6x = 0 ................................... (1)

Q: Suppose g is a function which has continuous derivatives, and that g(8) =-2, g(8) = 3. g"(8) =-4,…

A: Taylor polynomial:g(x)=∑n=0∞ gn(a)n!(x-a)n  a=8g(x)=g(8)0!(x-8)0+g'(8)1!(x-8)1…

Q: Find the exact length of the curve. x = 2/3t3,  y = t2 − 2,  0 ≤ t ≤ 2

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Q: Solve cos(3 – 5z) =1. Solve the equation for æ without evaluating the inverse function. (Your answer…

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Q: TT sin 5. Approximate dx by Simpson's rule with seventh ordinates?

A: Simpson's Rule:    ∫abf(x)dx=∆x3f(x0)+4f(x1)+2f(x2)+...+2f(xn-2)+4(fn-1)+f(xn) Where, ∆x=b-an We…

Q: Consider the following. u = i + 6j, v = 7i - j Find the angle between u and v to the nearest…

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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: . Identify and sketch the graph of the following equations (a) a2 + 2y? + z² – 8x + 12y – 2z + 35 =…

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Q: Using the identity sin? 0 + cos² 0 = 1, find the value of tan 0, to the nearest 2 hundredth, if sin…

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Q: The area of a circle increases at a rate of 6 cm /s. a. How fast is the radius changing when the…

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Q: Find the horizontal and vertical components of the vector with the given length and direction, and…

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Q: Select the answer option that corresponds with polar coordinates (1, -). 90° W/2 150° 45 1 7 radians…

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Q: Use the formula for the sum of a geometric series to find the sum or state that the series diverges…

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Q: Select the answer option that corresponds with polar coordinates (4,-120\degree). 90° 2 W/2 150° 45…

A: Option

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: Find (a) the general solution and (b) the particular solution for the given initial condition. y' =…

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Q: C) = ("; ')-(,".) ')-(,",) +: n . Show that : .r.

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Q: Find the total differential and total derivative. For the total derivative it is with respect m (or…

A: The objective of the question is determine the total differential and total derivative of the given…

Q: x =r +1, y=r -1 c) Find an equation of the tangent to the curve at the point corresponding to t = 1.…

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Q: Find the horizontal and vertical components of the vector with the given length and direction, and…

A: For a vector v with magnitude M in the direction of θ.The Horizontal comonent is given by…

Q: Suppose z = x? sin y, x = –2s² + 2tť², y = 2st. A. Use the chain rule to find and dz as functions of…

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Q: (sint – cos t)? =1- sin (2t)

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Q: d. Without doing any computations, what do you expect to be the instantaneous velocity of the ball…

A: Since   s(t) = 64 - 16(t - 1)² As we can see that at t = 1 , the above quadratic equation has its…

Q: Find all the antiderivatives of the following function. Check your work by taking the derivative.…

A: We have to find the antiderivative of the given function.

Q: find (a) f• g, (b) g•f, and (c) f • f. (i) f(x) = x*, g(x) = x - 1 %3D

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Q: If f(x, y) 3x+7y af then is given by: (3x–7y) 21y (За — 7у)? 21y (3x–7y)² - 42y (За — 7у)2 42y…

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Q: Absorption of Drugs The concentration of a drug in an organ at any time t (in seconds) is given by…

A: We have to find the concentration at given time t.

Q: Find an equation of the tangent plane to the surface z = læ? + 2y² + 2x + 1y +3 at the point (2, 4,…

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Q: 7)S ) dx 8)S; dx 1+3e* 9) S 3x3. e-2x* dx

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others…

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: Select the answer option that corresponds with polar coordinates (3, 7). 90° 2 45° TI -7 radians…

A: Given query is to find the correct option for the cordinate.

Q: Given D (4, 2) = 5, fwm (4, 2) = 8, we know that (4,2) is a minimum we cannot tell O saddle point…

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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: The region is bounded by the curve y = 6x – x² and y = x² – 2x –

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

Q: H.W 1. Test the convergence and divergence of the foll convergent series. a) L b) 3"51-n

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Q: dx

A: We will use substitute method to solve this integrate

Q: A Ferris wheel has a radius of 30 m, makes a full rotation in 3 minutes, and the axle stands 35 m…

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Q: 2. Let A = (1,0, 2) and B = (6, –2, 3). Solve for projĄB.

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Q: Y= 3xé

A: Given query is to find the derivative of the expression.

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

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Q: x In y dy dx -1J

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Q: a.) S dx/x²+4x+5 b.) S(cscx – tanx)²dx

A: topic - indefinite integral

Q: Find the equation of the plane that passes through the point (2, 1, 1) and is tangent to the surface…

A: We have to find the equation of the tangent plane.