Solve the equation for 0 <0 < 2n cos? 0 – sin? 0 = -2 – 3 cos 0 |

Q: Let f(x) = x sin(2 x). Find its average value for 0sxs/2.

A: Given the query is to find the average value of function over the interval [0,π/2].

Q: Let t be a real number and let V3 be the point on the unit 1 2 circle that corresponds to t. (a) Fin...

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Q: Compute the derivative of f(1) = In(x In(x² In(r³))).

A: The given function f(x)=lnx lnx2 lnx3

Q: Find the values of a and b that make f continuous everywhere. x2 – 4 - 4 if x < 2 X - 2 f(x) = ax2 -...

A: Here, we need to find the values of a and b. We are given that f is continuous everywhere.  So,     ...

Q: sinxtanx/cosx+1

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Q: a. f(x) = 6 Select the correct choice below and fill in the answer box if necessary. C A. The deriva...

A: NOTE: Refresh your page if you can't see any equations. . take derivative the derivative is 

Q: e is an angle in standard position with T(-20, -21) on its terminal ray. Find cote O 21/20 O -20/21 ...

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Q: Convert the following integral to polar coordinates. Do not evaluate the integral. 1 V1-x2 (x + y)dy...

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Q: 4. Determine the constant m such that f(x) = {x2 + m, if x ≥ 3                                      ...

A: Given that: f(x)=x2+m, if x≥32x-m, if x&lt;3

Q: e2x dx 4 + e4x 13.

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

Q: Given the function P(n)=(n−7)(n+6)(n−3): the coordinates of its P-intercept are  the coordinates o...

A: To find out the coordinates of P- intercepts and n-intercepts.  

Q: For problems 1e $ 19. logarithmic use differentiation to Find dy 3x ų = (sin 4x)"

A: 18)y=(sinx)3x

Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros: 5-...

A: Find your answer below 

Q: 7. Consider the indefinite integral J Then the integrand has partial fractions decomposition 6x+6x²+...

A: Given problem:-

Q: Suppose that the per capita growth rate of a population is 3%; that is, if N(t) denotes the populati...

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Q: Direction: Find the derivative of the function. y=- -z+ 2e Select one: O y' = 4x? – 1+ 2e" O y' = 4x...

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Q: 11. In a sine wave: a) At what angle, or angles, is the amplitude increasing at its fastest rate? b)...

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Q: 3. The vectors i and y are each vectors of length 3 units, i.e., = | = 3. If + = V17, determine – j....

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Q: A is launched into the air with an upward velocity of 38 feet per second. The height of the after t ...

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Q: A cylinder is inscribed in a right circular cone of height 12 cm and base radius of 4 cm. Find the l...

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Q: . Find the domain of the inverse of the function f(x) = −3√4− x  + 5.

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Q: Find the first derivative for the following function. Do not simplify. a) f(x) = (2x² + 4)(x* – 3x)

A: Given: (1)     f(x) = 2x3+4x4-3x (2)     f(x) = 1+cotx  2cosx

Q: (c) y = e* sin 7x + In(cos(x)) (d) y= xarcsin x+ V1-x²

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Q: Air is pumped into a spherical balloon so that its volume increases at a rate of 100 cm /s. How fast...

A: d[r^n]/dr = n r^(n-1)

Q: 3. Find the domain and the range for the following functions: g(x) = 2 sqaure root x − 3  − 4

A: Topic = Functions

Q: Suppose that R is the finite region bounded by f(x) = VT and g(z) 4 Find the exact value of the volu...

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Q: a) Find the divergence and the curl of the vector field F × G, where F(x,y,z) = 2x²yi – y³z²j – 2z²k...

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Q: Which represents the Period? (B) (C) (D) (A)- A D でビ

A: Topic = Functions

Q: Write out the form of the partial fraction decomposition of the function (as in this example). Do no...

A: Given :    

Q: A is an angle in standard position with T(-20, -21) on its terminal ray. Find csca 29/20 -29/21 -29/...

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Q: Given the parametric equations, x = 2t + 5 and y = 3t2 - 1, find the point on the graph at time, t =...

A: We can find the point as below

Q: Estimate the slope (slope = rise/run) of the tangent line to the curve. Ay 10- dp 4 -> -1 0 1 2 3 4 ...

A: slope of the line passing through the points x1,y1 and x2,y2 , m =y2-y1x2-x1.

Q: #37

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Q: Evaluate the following indefinite integral. -x-2 (a) dx dx (b) cos 0 sin Od0

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Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=5 and a root of multiplicity 11 ...

A: Given the query is to find the polynomial from the data provided.

Q: Estimate the slope of the tangent line to the curve at the given point (x.y). The slope of the tange...

A: NOTE: Refresh your page if you can't see any equations. . choose any two points from the tangent lin...

Q: Which represents the Midline? (B) (C) (D) (A)- O A O c D

A: Topic = Functions

Q: Find the value x=a where the function is discontinuous. For the point of discontinuity, give (a) f(a...

A: Given the query is to find the point of discontinuity and find indicated limits.

Q: s Vã(4 – x)dx

A: Given: I=∫19x4-xdx We know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C ; n≠-1 And ∫c·fxdx=c·∫fxdx, ...

Q: A farmer buys a new tractor for $156,000 and assumes that it will have a trade-in value of $84,000 a...

A: The depreciation rate is the percentage rate at which asset is depreciated across the estimated prod...

Q: (x – 1)*(r+2)³ r8(x – 3)² the natural log of both sides, using log rules to expand the log of the ra...

A: The given function,    y=x-13x+25x8x-32

Q: Determine whether the given differential equation is separable. dy ye 3x +3y メ+4 2 dx Is the differe...

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Q: Prove that the tangent lines to the curves 5y – 2x +y³ – x²y = 0 and 2y + 5x +x* – x³y2 = 0 intersec...

A: Given: - The statement is, The tangent lines to the curves 5y-2x+y3-x2y=0and 2y+5x+x4-x3y2=0 interse...

Q: Evaluate f sin'y cosy dy. 2

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Q: The displacement (in meters) of a particle moving in a straight line is given by s = t - 9t + 19, wh...

A: Given: s=t2-9t+19 For (a), (i) [3, 4] Average velocity = s(4)-s(3)4-3=-1-11=-2. (ii) [3.5, 4] Averag...

Q: 152 CHAPTER 2 LIMITS AND DERIVATIVES temperature is 75°F. The graph shows how the temperature of the...

A: To find the rate of the change of the temperature after an hour.

Q: Direction: Find the derivative of the function. S(p) = VP – 1 VP +1 Select one: 1. f'(p)

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Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros: -2...

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Q: Below is a value of cosh x. Use the definitions for hyperbolic functions and the identity coshx- sin...

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Q: f(x) g(x) = 3x – 5 Зх — X + 5'

A: Solution