Question 4 sin'x cos'x dx Evaluate: (1– sinx)²(1+ sinx)? Can't be evaluated sin"x sin 10% +C 10 sin sin 10, +C 10 None

Q: Solve 8 sin (6x) = 3 for the two smallest positive solutions A and B , with A

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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: Evaluate: J 1+sinx -dx

A: To evaluate the given integral.

Q: The Cartesian equation, x = 4, is equivalent to the polar equation, 1 4 cose 4 cose 43 r = cose Or2…

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Q: #10-The maxgmad cost of a produt is madeled by T when x:3, C40. Find the cost furction.

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Q: Given the area of the region enclosed by y = 2 – x´ and y =-x, identify the integral that represents…

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Q: Find the radius of convergence and interval of convergencE of the power series. (2х — 1)" 26. E 5"…

A: Use ratio test for checking the radius of convergence  and interval of convergence .

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: 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: 19 Convert the Cartesian equation x - 5 = 0 to a polar equation. r = 5cscθ r = 5cosθ r = 5secθ

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Q: 12

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Q: Find T(t) and N(t) at the given point. r(t) = 2 cos(t)i + 2 sin(t)j + tk; t = 2 T -25 i + 15 k NE) =…

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Q: 9 Given that tan 0 and that angle 0 40 terminates in quadrant II, then what is the value of sin 0?

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Q: The rate of change in the number of urban transit vehicles such as buses and light-rail trains, in…

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Q: 3.) Evaluate: S (G++ 2) dx 4.) Evaluate: S(3sinx – 2sec²x)dx

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Q: Which one of the following equations is in the slope- intercept form? O a. 2x+3y-6+0 O b. 2x+3y= 3

A: The equation of line in slope intercept is giveny by:y=mx+cwhere, m=slope c=y-intercept

Q: () If h(x) = | cosxdx and h =4, then h (0) is equal to 4 A None B -4 C) - 3 D 4 E

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Q: 1) lim Ax) = -2 x- 5 2) f'(5) = DNE

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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: If $21.000 is invested in a savings account offering 4.5% per vear, compounded semiannually, how…

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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…

A: total card = 52 A = card is black face = 6  B = card is black = 26 P(A) = 6/52 = 3/26 P(B) = 26/52 =…

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: Question 3 x+6 is divided by x-1 4x+24 The restrictions on X, when can be written in the form 2x2…

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Q: 1 6. cos-xdx cos* xdx xprt.

A: We need to solve the integral.

Q: 30+y 25+ 20 6, 18) 15+ 10 Find the area of the shaded region enclosed by f(x) = x3 + x2 - 6x and…

A: Explanation of the answer is as follows

Q: f (#) = 2x-3 and g () = ; then (f – g) (z) = %3D %3D Das- 9) (z) = 2 5 | b(f- 9) (x) = 2x2-3x-2 2x…

A: Given query is to find the value of indicated function.

Q: Which expression gives the length of the curve y = 4x from x=1 to x = 4 ? 4 (A) [ 4x°dx (B) |V1+4x…

A: Given query is to find the expression for length of the curve.

Q: Which of the following is one of the correctIconvenient steps to evaluate| cot-4dx_which will yield…

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Q: Find the absolute maximum and minimum of the function f(x,y) = 7y + 64x - 3 over the closed region…

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Q: Use cross products to find the area of the triangle in the xy-plane defined by (1,2), (3,4), and…

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

A: To solve the following problem

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: The result of the integral in 0 given |V y²– 25 -dy is 5 tane – 50 +C, y (A) True (B) False

A: To solve the following integral

Q: Write the expression as a logarithm of a single quantity. In(8) + In(x + 5) - 4 In(1 + Vx)

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Q: Find an equation of the inverse relation. x=y² - - 7y Choose the correct equation below. O B. y=x -7…

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

A: Consider the function  f(y)=-24y25

Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A: Given problem:- D(x) is the price, in dollars per unit, that consumers are willing to pay for x…

Q: find (a) (f + g)(x), (b) (f - g)(x), (c) (fg)(x), and (d) (f /g)(x). What is the domain of f /g? i.…

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Q: #12- Fnd the indefinite integral of the follaung funchon and check the result by differentionion.

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Q: Take the derivative of the following: Dy= 3xe y = e (3) e y = @y= In () 10 Y=ln (In x)

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Q: Determine if the following series is convergent or divergent: 3n 7n – 2 - n=1 O Convergent O…

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Q: Determine whether the function is one-to-one. If it is, find a formula for its inverse. f(x) = x +7…

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Q: Use Mean-Value theorem to find c X +2x-1 ; [o,i] xj[3,5] Use L'Hôspital vule to find the wmit lime…

A: We will solve the Problem on limits and mean value theorem.

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: Find the vector PQ × PR if P = (2, 1,0), О %3D (1,5, 2), R = (-1, 13,6) (Give your answer using…

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Q: Find the linearization of the function f(x, y) 155 – 2x2 – 5y² at the point (5, 4). L(x, y) = Use…

A: Given:      f(x,y) = √ (155 - 2x2 - 5y2 )     Point : ( 5 , 4 )  Now     Linear approximation f (…

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

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Q: Convert the polar coordinates (- 3, -4) to Cartesian coordinates. O (3/2/2, -3V2/2) (-3v2/2, 3V2/2)…

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Q: Find the amplitude, period, and phase shift of y = 4 cos (2x). (Express numbers in exact form. Use…

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Q: sing reciprocal substitution *= the integral - dx reduces t I dz -1) 13 -dz (z?– 1) 1/3 zp- D dz

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