Find the exact value of the indicated trigonometric function of 0, if 0 is an angle in standard position whose terminal side contains the given point. (3, V10); find sin 0

Q: Evaluate the integral: -dz 1372 (A) Which trig substitution is correct for this integral? Oz = 64 se...

A: Given: As we know from the trigonometric identities: 1). sin2θ+cos2θ=12). cotθ=cosθsinθ3). csc2θ=1+c...

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Q: rectangle is formed by the vectors (4,1) (1,3) and (3,3). Determine the area of the rectangle, expla...

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Q: dy If y = (t + 2t + 5) (7Ł² + 3), find dt dy dt

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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: Determine whether the Existence and Uniqueness of Solution Theorem implies that the given initial va...

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Q: #9 all

A: 1)Find the tangent of the curve y= 3+4x2-2x3 at x=a. 2) find the equation of tangent line at point (...

Q: Find the limit. Select the correct choice below and, if necessary, fill in the answer box within you...

A: Given that: limx→-9x3+729x+9

Q: The orthogonal trajectory for x^ 2 =ce^ x^ 2 +y^ 2 is

A: Orthogonal trajectory

Q: 4. Sketch a graph with the following sets of properties. 10 8 f(5) = 3 f(-1) = -3 4 lim f(x) = 2 2 x...

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Q: (4 points) Suppose the position (in feet) of an object moving horizontally at time t (in seconds) is...

A: As per the guidelines we are supposed to answer only three Questions , 

Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of int...

A: The given integral is: I=∫x3x2+36dx

Q: #23

A: NOTE: Refresh your page if you can't see any equations. . take derivative here we have x=1, ther...

Q: (c) At what time do they have the same velocity? 13. If a ball is thrown into the air with a velocit...

A: Given query is to find the velocity of the ball. We will use derivative to find the velocity.

Q: sinxtanx/cosx+1

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Q: Parabolic Two-way Tunnel Dimensions of the Tunnel: 18 feet by 38 feet Find the standard form and g...

A: NOTE: Refresh your page if you can't see any equations. . the equation of a parabola is given by as...

Q: dz az C. Find ax and 4. 5x*y?z-y cos xz = 2x°+y

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Q: x2 dx 25 - x2

A: Here we use the trigonometric subsitution method to solve the given Integral.

Q: Dur heroine is trapped in a rectangular room that is 10 feet by 16 feet, with a ceiling that is 9 ee...

A: Given query is to find the rate of change of height of water in the room.

Q: What is the point of the intersection of the angle of the unit circle pi/2? (show full solution)

A: Given the query is to find the point of intersection of π/2 on unit circle.

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

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

Q: Solve the initial value problem. dy y = 7x e*, y(1) = 7 e - 7 %3D - dx The solution is y(x) =

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with   so here we have

Q: Find the volume of the solid Formed by revolving the bounded by the graphs oF fox) =v9-X, y-axis %3D...

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Q: Sketch and shade the region enclosed between the curves y = cos x , y = sin x , x = 0, and x = π. Dr...

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Q: Use log differentiation to find derivative of y with respect to the given independent variable

A: Topic = Derivative

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: Choose a correct equation for the graph shown below. O A. y = 5 sin (3x) B. y = 10 sin C. y = 5 cos ...

A: We have to choose the equation for the graph .   

Q: Find the extrema and inflection points of f(p) = 900 p - 30 p2 using derivatives.

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Q: Let y – 8y + x² = 8. Use implicit differentiation to find the derivative. Find the tangent line at (...

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Q: Given the polynomial P(z) = -9z - 9z² – 5z – 20 and divisor d(z) = -3z + 2, find the quotient Q(z) a...

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Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.3 cm/min....

A: topic - application of derivatives

Q: Slope of a tangent line at t1 = 6.0 and y = at?

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Q: What is the period of y = 4 sin 3x? 3 pi 2 pi /3 pi/3

A: Given: - The equation is, y=4sin(3x) To find: - The period of the given equation.

Q: Given the parametric equations, x = 5i and y = t - 2, eliminate the parameter. %3D 2 V = 2 25 V = y ...

A: First find value of t using x  then put that value in y

Q: 44. г(t) 3 (2t%)/2, t3), for 0 < t<2 %3D

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Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of int...

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Q: Palt A: IS fex) continuous at x= -2? (xx1 K7-2 fcx)=C2x+7x6-2 Xニー2 Justify answer. part B: EXPlain w...

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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: Solve the initial value problem. dy = 5 e -t sec? (5x e), y(In 4) = 4 / r 3D5 e - t dt y%3D (Type an...

A: The detailed solution is given below Thank you 

Q: (1 point) Use the given graph of the function f to find the folloW 1.(-4) = 2. (-3) = 3. f (0) = %3D...

A: 1) f-1(- 4) = - 1

Q: II. Differentiate the following functions. Use any applicable method unless otherwise specified. 3) ...

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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: 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 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: In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the f...

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Q: #37

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Q: dy 4x 29. dx 4x + %3D V16 - x2

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Q: Rewrite the following expression in terms of exponentials and simplify the result. (cosh 3x + sinh 3...

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Q: Let lim f(x)= 11 and lim g(x)=9. Use the limit rules to find the following limit. X-9 lim [f(x)- g(x...

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