Show algebraically where the tangent line of the function r=1+cos theta is vertical and where the tangent is horizontal on the interval (0,2pi). What are the theta values?

Q: Calculate the test-statistic, t with the following information. n₁ = 45, x1 = 2.52, s₁ = 0.57 n2 =…

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Q: 2) Differentiate each function below. Be sure to use proper notation to distinguish between a…

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Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region 9 bounded on…

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Q: . Consider the differential Question equation : y cost + 2te" + (sint + t²e" - 1)y' = 0. a) Show…

A: The given differential equation: ycost+2tey+sint+t2ey-1y'=0.The given differential equation can be…

Q: 1 Describe how the graph of y = log| − 1 relates to the graph of y= log(x). 3

A: NOTE: Refresh your page if you can't see any equations. . now let the function g(x) is given by If…

Q: dy Use implicit differentiation to determine given the equation xy + x² = y². da dy dx =

A: We can find the derivative by using the implicit differentiation.

Q: Use spherical coordinates. •JJJ* Evaluate te+² y² + z² dv, where E is the portion of the unit ball…

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Q: calculate [_²["²|3x³y²|dydx.

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Q: 1101010100112 + 110001001012 = ?16

A: Topic:- binary numbers system

Q: 2) a) Differentiate each function below. Be sure to use proper distinguish between a function and…

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

Q: i) Given the functions below, solve for the following = f (x) = x+1 and g(x) = X-³33 a] (gof)(x) and…

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Q: 11. Consider the region bounded by f(x)=x² and the x-axis over the interval [0, 2]. Suppose the area…

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Q: A commercial cherry grower estimates from past records that is 21 trees are planted per acre, then…

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Q: Consider a continuous mas critical points at x = 3. The function f(x). The function -2, x = 2, and x…

A: If f ′(x) changes sign from positive to negative as x increases through c, then c is a point of…

Q: lim In (x) In XX x+1 2 x+1

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Q: ㅍ 2 Evaluate the definite integral 1 0 +1 24 ○ㅠ-1 T3 O² +1 + C 24 0 1 +1 ○ T3 24 - 1 x² + cos(x) dx.

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Q: A rectangle has a fixed perimeter of 12. Find the dimensions of the rectangle so that its area is…

A: NOTE: Refresh your page if you can't see any equations. . l=length of the rectangle w=width of the…

Q: Use integration by parts to evaluate the following integral. 1 12 S 0 x In 12x dx

A: To evaluate the given integral

Q: 2) c) Differentiate each function below. Be sure to use proper notation to distinguish between a…

A: We will find the required derivative.

Q: Find the point(s) on the curve y www 10 closest to the point (0,9). The point(s) are separated by…

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Q: Solve the initial value problem for r as a vector function of t. dr Differential equation:…

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Q: 46. If y=xcos(x) then : d²y dx² -= ? -2sin(x) - x cos(x) - sin(x) -2sin(x) + x cos(x) sin(x) إذا…

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Q: You are constructing an open top box for your cat to sleep in. The plush material for the square…

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Q: Make a sign diagram for the derivative of the rational function. 12x - 60 4x + 20 f(x) =

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Q: Find the intervals on which the graph of f is c f(x)=x³ - 15x²+2x+6 For what interval(s) of x is the…

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Q: Use the First Derivative Test to find the location of al local extrema for the function given below.…

A: Topic = Functions

Q: For the function f(x) given below, evaluate lim f(x) X18 and lim f(x). 8118 f(x) = −4x² + 2x + 4 sin…

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Q: Graph f(x) = −5+2 + 2. First drag the two (blue) points on graph to the correct points that f(x)…

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Q: Set up and integrate the expression to compute the area outside the rose and inside the circle on a…

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Q: Find an equation of the tangent plane to the parametric surface x = 1r cos 0, y = 4r sin 6 the point…

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Q: Determine all real roots of x4 +0.9x³-2.3x²+3.6x-25.2=0

A: We need to find all the real roots of :

Q: Assume that now | X = R. Show that x.x=0 [Hint: Differentiate constion't ev]. Deduce that I is a…

A: (e) It is given that:  X⇀=R  so, X→2=R2

Q: 3) a) b) Suppose N(t) = (3067) (1.1) shows the number of inquiries received by the Undergraduate…

A: Given :- Nt=30671.1t Nt=Number of inquiries received by undergraduate office of a certain college…

Q: b) Find value of x i) 9 2x-1= 27x+2

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is…

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Q: Continuing with the same problem as above: Suppose L(x)= What is h'(2) ? 0 1 -5 not enough info to…

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Q: The fox population in a certain region has an annual growth rate of 2% per year. In the year counted…

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Q: 2. y"+3y"+4y+2y=0; y(0) = 4; y'(0)=-4; y"(0)=1 a. y=e** (4+sin x) b. y = 4e* cos x c. y=e*(1+3 cos…

A: We need to solve D.E.

Q: 15. A person in a rowboat two miles from the nearest point on a straight shoreline wishes to reach a…

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Q: Calculate lim x →0 sinh(2) — x3 X

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Q: estion Consider ta linear differential equation xy' + 3y = 2x³. (a) Find the integrating factor of…

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Q: Given z = f(x, y), x= x(u, v), y = y(u, v), with x(−1, 1) = 1 and y(−1, 1) = 2, calculate z(-1, 1)…

A: see below the answer and calculation

Q: dG dx If g=- which of the following is equal to d dx -tanG?

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Q: For the function 1-cos.x 1-cosy + -=C, where C is a real constant, which of the following is equal…

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Q: If f(x) = x*e*, then ƒ"'(x) = A 12x²e* (в e²(x²+4x³) Ⓒe²(x²+4x³+ 12x²) De²(x²+ 8x³+ 12x²)

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Q: Calculate the double integral. x sec²(y) dA, = {(x, y) 10 ≤x≤ 2,0 ≤ y ≤ }

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Q: Find an equation of the slant asymptote of the curve 4x³10x² 11x + 1 x² – 3x y = =

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Q: dy 1. Find for the implicit function y² = dx x² xy-4 at the point (4,2).

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Q: Calculate / cot cot³(x) csc³(x) dx. Your answer should be in terms of x.

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Q: The region bounded by f(x) = 0, and y = 0 is rotated about the y-axis. Find the volume of the solid…

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