Find the area of the region enclosed by the rose r= 20 cos 30. NOTE: Enter the exact answer. A %3D

Q: 6. (9x-6x'+7x²-Sx+15 dx 3x

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Q: 3. Is the function f(x) = csc2 + sec x- cosr even, odd, or neither? Show algebraically. %3D 4. Write…

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Q: Find the value of m for which the equation x' + y? – 2y + 4x –m = 0 represent a point. O NONE OF…

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Q: Find the component form and magnitude of the vector v with the given initial and terminal points.…

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Q: 1. Consider the graph of the function f(x) = 1.a. Is the function f (x) continuous at x = 1? Justify…

A: We need to find if the function is continuous or not in given interval.

Q: 3) The straight line l passes through the points (0,1,5) and (2, –2, 1). Find the y - and z…

A: Using Cartesian equation.

Q: (b) Find the distance from D to the plane containing A, B, and C. NOTE: Enter the ezact answer.…

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Q: 4- x2 Evaluate lim x+2 3- (x2+5)Z 5 3 O NONE OF THESE O 4

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Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. CSC x…

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Q: Find the derivative of the function described. (Rx5) 3x-1 2. f (x) = 2x+4

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Q: 12. The next iterative value of the root of x² – 4 = 0 using secant method, if the initial guesses…

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Q: Find the arc length of the parametric curve. x = 8 cos(t), y = 8 sin(t), z = 6t; 0 <t< T L = %3D

A: To find the arc length of the parametric curve.x=8 cost, y=8 sint, z=6t; 0≤t≤π

Q: Consider the following. u = 3i - j- k, v = -i + 5j + 7k %3D (a) Find the projection of u onto v. (b)…

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Q: Question Use the First Derivative Test to find the location of all local extrema for the function…

A: The given function is;  f(x)=-6x/(6x2+8).

Q: y y=x+1 x= 4 y = 0

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Q: 3- x 3) dx → S2xe* dx

A: To evaluate the given integrals.

Q: 6. Rewrite the following as a single trigonometric function: sin? x COS x + COS x (Hint: Use the…

A: Topic = Trigonometry

Q: 10. xy' + 2y = 6x²/y

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Q: 15.lf f(x)=Vx f(x)-f(16) The lim x→16 x-16

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Q: V9x2-12x +11 Evaluate lim x-1/3 3.x-1 -2 O NONE OF THESE O O o O O

A: To evaluate the following limit.limx→-13-9x2-12x+113x-1

Q: Question For the function f(x), whose graph is shown below in blue, find lim f(x). The red vertical…

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Q: Question A vertical cylinder is leaking water at a rate of 8 m³/sec. If the cylinder has a height of…

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Q: Find the vector component of v = (4, – 1, 7) along b = (4, 4, -7) and the vector component of v…

A: Given,            V= &lt;4,-1,7&gt;            b =&lt; 4,4,-7 &gt;

Q: F(x)=-2x2 - 2x - 2 find the absolute maximum value over the interval (0,6)

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Q: determine if it converges or diverges   a) cionverges by series p b) diverges by series p…

A: To solve the following problem

Q: a) Compute the area of the shaded region by "counting" the squares on the grid in the given region.…

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Q: Verify that the two planes are parallel. -x + 6y + 2z = 7 %3! +3y +z 8 Find the normal vector, n,,…

A: We have to check whether the given plans are parallel or not or we have to find distance between the…

Q: Consider the following. u = 3i - j - k, v = -i + 5j + 7k (a) Find the projection of u onto v. (b)…

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Q: integral all of this and show your solution: 1.  ꭍx^(-2)dx 2.  ꭍ√(x^2 ) dx 3.ꭍdx/xlnx

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

Q: (a) Graph the equations in the system. (b) Solve the system by using the substitution method. (x+3)°…

A: Using substitution method.

Q: nd the component form and magnitude of the vector v with the given initial and terminal points. Then…

A: We can solve this as follows:

Q: (a) u v (b) n.n (c) v||? (d) (u v)v (e) u (3v)

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Q: 2. Determine if the given sequence converges or diverges. If it converges, what is its limit? (a) {…

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Q: CURRENT OBJECTIVE Determine the limit at infinity of a polynomial function Question For the…

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Q: Find the general solution of the DE below. Show the method on how you get the roots, not by…

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Q: Consider the following. u = 3i -j-k, v = -i + 5j + 7k (a) Find the projection of u onto v. (b) Find…

A: Given: u=3i-j-k, v=-i+5j+7k The expression for the vector projection of u onto v is: projvu=u·vv2v…

Q: 1. ſ e*sinx dx

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Q: d d Calculate ri(t)·r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly…

A: In the given problem first we differentiate the product directly &amp; then we use the formula for…

Q: 2. If f(x)=sqrt(x), which of the following is the simplified form of the difference quotient? *

A: Function f(x)=x

Q: Consider the following. u = (-9, -6, 4), v = (6, -7, 0) %3D (a) Find the projection of u onto v. (b)…

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Q: An integral is given that can be evaluated using integration by parts. Write expressions for u, du,…

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Q: Consider the following function. f(t) = 4t + 5 Find its average rate of change over the interval [1,…

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Q: Evaluate the integral. 9 17 1+ x2 dx V1- x2 +C

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Q: 2. Consider the graph of the function f(x) = va – 2 where x 2 2. 2.a. Identify whether the function…

A: We have to check continuity of the function

Q: 5) (x3 cos 9x dx

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Q: Profit. Suppose the profit of a product is modelled by the function f(x) = 2x3 – 30x² + 126x + 3 The…

A: First we find critical points then check absolute maximum values.  Answer is maximum value is 165 at…

Q: Jx + 2x f(x)=- 7х — 4х? 8.

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Q: Sx² cos (x3 + 3) Van (x3• 3) dx + 3) Vsin (x3+ 3) dx 1)

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Q: p(x, Y, z) 4 – x2 – y²

A: Given problem:-

Q: Use a change of variables (and the Jacobian) to find the volume of the solid region lying below the…

A: Let's find.