7. Express the Cartesian coordinates in polar coordinates in two different ways. (2,0) b. (-1, √3) a.

Q: Write the product as a sum: 12 cos(43c)sin (23c)

A:

Q: Rewrite sin55° in terms of the appropriate cofunction.

A: Consider  sin(55°)

Q: Use logarithmic differentiation to find dy/dx. x² - 64 x² + 64 dy dx y = X>8 128x (x² - 64 ) ( ² )…

A:

Q: Consider the following limit: lim [(1-tan(x)). sec(2x)] --, 1-tan(x) → (a) As x → (b) As x→ x→-,…

A: limx→π4-1-tanx.sec2x

Q: llowing fractions and express in fully redu (-8)/(3x^(2))+(9)/(3x^(2))

A: Consider the following  -83x2+93x2

Q: A function has a left-hand limit if f(x) approaches Las x approaches a where xa. The two sided limit…

A: Limit of the function f(x).

Q: Find the indefinite integral. (Use C for the constant of integration.) 1 9 arctan(5x) +C 45 1 + 25x²…

A:

Q: A collector of antique motorcycles is planning to enclose an exhibit in the shape shown below. The…

A: The sides with length x will use a material that costs $5 per foot while the sides with length y…

Q: Using the graph of the function H(x) below, find the following. 10+ -10 -10+ 5 Š SH(x) dx = -7.6…

A: By using the graph of the function Hx, below to find the following. To evaluate ∫-7.65Hx dx.

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

A:

Q: Find the average value of the function over the given interval. f(x) = ex/4 on [0, 4] Find the…

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Q: Find the circulation and the flux of the field F=-yi+xj around and across the following curves. a.…

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Q: We know that a= 23 sin' (ax) cos(ax) dx = sin³ (ax) b Find b + C

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Q: 5. Find the formula for the nth term of the sequence: Summing arithmetic sequence (S_n = (a_0+…

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Q: [3] Solve the differential equation dy-6% +8y-cos³x. de

A: The given differential equation is;  d2y/dx2 -6dy/dx +8y =cos2x

Q: 6. a) Determine the slope of the tangent to the curve (shown in the picture) at the point whose…

A: Given curve is g(x) = 5x.

Q: Suppose a product's revenue function is given by R(q) = −8q² + 200q. Find an expression for the…

A:

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

A:

Q: 1. A tower is 500 m tall. A ball is thrown downward at an initial velocity of 2 m/s. The height of…

A:

Q: f(x) = √100 – x². Express with interval notation, using U for the union of sets and inf for ∞.…

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Q: Suppose that x² + y ² dy dx (1) Use the method of implicit differentiation to dy find dx = = . 82.…

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Q: Find the distance traveled by a particle with position (x, y) as t varies in the given time…

A: We have to find the distance travelled and length of curve. First let us find the derivatives of x…

Q: f(g(x)) = 6(x5 + 5)6 and g(x) = x5 + 5, find f(x). f(x) = help (formulas)

A:

Q: Taking into account identical letters, how many ways are there to arrange the word PARVAMONSTRA that…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: Evaluate the following integral. Sxxdx x-8 X √₁₂dx=+c x-8 (Type an exact answer.) +C

A: We have to slove above integral

Q: For the function, do the following. f(x) = 2x from a = 4 to b = 5 (a) Approximate the area under the…

A: The given function is: f(x)=2x   from a=4  to  b=5

Q: QUESTION 5 Describe the level curve f(x,y)= In[y (x4-5x3-lnx+1)]=9

A: By the answering guidelines of Bartleby, We can answer only first question from multiple question,…

Q: f(x, y) = Ax² - Bxy + Cy² + x - y

A: f(x, y) = Ax2 - Bxy + Cy2 + x - y A = 4B = 4C = 2X0 = (x0, y0) = (5, 6) α = 1

Q: Find the graph of y=5 secx over a one-period interval. Choose the correct graph. COA 40- 440 OC. M…

A:

Q: Find the gradient field of the function, g(x,y,z)=3z-In (2x²+2y²). The gradient field is Vg=₁+₁

A: We need to calculate the gradient of the given function: g(x, y, z)=e3z-ln2x2+2y2. This can be…

Q: 320(1.6)* for x using logs. X =

A: We need to find value of x.

Q: Find the directional derivative of the function at the point P(2,1) in the following direction:…

A: The given function is:f(x,y)=3x2y-2xy2+y3-9P=(2, 1)Direction vector:  v=3i-5j

Q: X = x = 83 logg 4-logg 9 Note: Your answer must be exact and in simplest form.

A:

Q: 320(1.6)* for x using logs. x =

A: We need to find value of x.

Q: dy Use the Fundamental Theorem of Calculus to find where dx dy dx || cos (1x) ⁹ + sin x 1x…

A:

Q: K For the following composite function, find an inner function u = g(x) and an outer function y = f…

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Q: Use polar coordinates to find the volume of the given solid. Bounded by the paraboloids z = = 6x² +…

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Q: Let A(z) represent the area bounded by the graph, the horizontal axis, and the vertical lines at t =…

A: Given: A(x) represent the area bounded by the graph, the horizontal axis, and the vertical lines at…

Q: Name Period 4. Find all angles, 0 ≤0 < 360°, that satisfy the equation below, to the nearest soth of…

A: Here given that :- Sin(θ) = √(3) /4. We find all angles , 0&lt;=θ&lt;360°

Q: Let C be the positively oriented square with vertices (0, 0), (3, 0), (3, 3), (0, 3). Use Green's…

A: C is the positively oriented square with vertices (0,0),(3,0),(3,3), and (0,3). Line Integral…

Q: Determine the dual problem. Solve either the original problem or its dual by the simplex method, and…

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Q: f(x,y) = x² y¹ e¹² + yz² ln(2x+1) + 2xyz² a. fx 7. b. fxy C, fxyz Find

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Q: How would you obtain the real and imaginary part of the following function: F(z) = e²?

A: Real &amp; Imaginary part of the function, F(z) = ez.

Q: Decide from the graph whether each limit exists. If a limit exists, estimate its value. (b) lim F(x)…

A:

Q: The Cartesian coordinates of a point are given. (a) (5√3,5) (b) (i) Find polar coordinates (r, 8) of…

A: The given points, a) 53, 5 b) 1, -2 We have to find the polar coordinates of the points.

Q: Let ƒ(x) = (3 – 2x)6 - f(x) has one critical value at A = For x A, f(x) is [Select an answer ✓

A: fx=3-2x6

Q: Evaluate the following definite integral. Express your answer in terms of logarithms. €² dx 2 1…

A:

Q: Looking for someone to verify my problem solving. I graphed a region bound by y=1 and y=x^3. If I…

A: The given region is bounded by the curves:y=1    and    y=x3

Q: (3) Sketch the graph and find its area of the region between the curves y = sinx, y = cos x over the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find and dx exist, enter DNE.) dy- 11 d²y || d²y and find the slope and concavity (if possible) at…

A: