Shown below is a graph of a line in the Cartesian plane. What corresponding polar equation? 2 -1 -1 Select one: 4 2 sin 0 – cos 0 sin 0 – 4 cos 0 4 sin 0 – 2 cos 0 4 sin 0 – cos 0

Q: Use the mean value theorem to prove the inequality for all a and b: Isina – sinb| < |a - b|.

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Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = 10xe…

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Q: (a) Consider the system of equations 11x3 – 3x1 7x — бх2 — 5хз x2 +2x3 – 2x1 = yi = y2 - Уз Rewrite…

A: To write the system of equations in matrix form

Q: From the graph below which statement is true? (A) not a function (B) function; domain: R (C)…

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Q: 16. بين ما اذا كانت تقع النقطة N على المستقيم AB ام خارجه N=( 2,1.5,3 ), B ( 0,1,2), A ( 4,2,4)…

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Q: "If a function is continuous at some point then it must be differentiable at that point". Do you…

A: To show whether the given statement is true or false .

Q: 37. v = (60, 11}

A: Unit vector n→ in the direction of a vector v→ is given by, n→=v→v→, where v→ is the length of the…

Q: 14x + 1250 The average cost for a company to produce x units of a product is given by the function…

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Q: A conical surface is defined as 0 = 30°,0 < y< 2n,0<r< 2, the lateral surface area is what?

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Q: Graph the function and find its average value over the given interval. f(x) = x + 2 on [0,2]

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Q: What is the probability you draw two cards of the same color from a standard 52 card deck you are…

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Q: Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 20. Explain Mathematical Ideas (1)(G) Explain why the radius of a regular polygon is greater than…

A: The radius of a regular polygon is the distance from the center to a vertex. The apothem is the…

Q: The general solution of the D.E.  ( x + y)dx + (x-y)dy = 0.

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Q: Use the properties to evaluate the integrals. 1. S; (1 + ) dx

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Q: Find all the derivatives of f, given f(x) = x3 - 5x' + 4x6 – Tx* + 3x3 + 11.

A: This is a basic derivative problem

Q: dz. x + 2 Evaluate -1

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Find dy/dx: rsinx 1. у %3D Sm* 3t2 dt

A: I am attaching image so that you understand each and every step.

Q: What are all values ofk for which x'dx = 0?

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Q: Q(x) = Jx + Vx + x + ..

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Q: 1. / 2dx 3D 0 + С %3D С 2. Sx²dx = 2x + C %3D 3. S 5x*dx = x5 1 4. Sdx = + С 2(х2-5) x2-5 5. ſ tan x…

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Q: a) 2 B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card…

A: Probability

Q: Conics Find the equation of a parabola that has focus at (-4,0) and directrix x= 2

A: A detailed solution is given below

Q: A MANUFACTURER NEEDS TO MAKE A CYLINDRICAL CAN THAT WILL HOLD 1.5LITRES OF LIQUID. Determine the…

A: Follow the procedure given below.

Q: Find dy/dx: 1. у %3D Vu du

A: Given: y=∫0t4udu

Q: In(x² + 1)dx

A: We can solve the integration as below.

Q: 2x2+14x-16 Let f be the function given by f(x) For what values of x does fhave a removable…

A: Given the function is  f(x) = 2x2+14x-16x2-9x+8.

Q: determine which statement is true h(x) = (4x – 1)/ (9 – x) (A) not a function (B) function;…

A: h(x) is function and is not defined at x= 9.

Q: ||r'(t) × r"(t)|| ||r'(t)||³ Use the formula k(t) = to find k(t). r(t) = t²i + t5j 390 t14 K(t) = 3…

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Q: Fina the integral (2x-1) (x+3) a. In 7 (2x-1) + C x+3 b. In 6 (2x-1) + C x+3 3 (2x-1) c. In + C x+3…

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Q: 1) Evaluate lim 10 VX-5 X-25 x25

A: We can find the limit as below.

Q: Vector Calculus Given, A = 2? zi – 2y32j+ x} zk. Find divA at the point (1, –1, 1).

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Q: 1. Use mathematical induction to prove the given statements below. 2 3+2 32+....+ 2· 3n-1 = 3" – 3…

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Q: , The equation y2(y? – 4) = x²(x² – 5) is known as the devil's curve. Give an equation for the…

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Q: If the function is continious at x c, then the right limit at x= c is equal to f(c). Select one: O…

A: To verify if the given statement is true or false.

Q: determine which statement is true   x + 2y^2 + 20 = 0 (A) not a function (B) function; domain: R…

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Q: a²z Determine a²z if z = tan- r - r r2+92°

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Q: Graph the function and find its average value over the given interval. g(x) = |x| – 1 on [-1,1]

A: We have to draw the graph and average value.

Q: 3-A coin is tossed 3 times the probability that all 3 tosses are tail equal a) b); c); d) 9.

A: Our Aim is to calculate the probability of flipping a coin three times andgettiing 3 tails.

Q: 4. Find the arc length of r = cos? (0/2), 0 s 0 s 2n.

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Q: Find the n-th Taylor polynomials for 1 about x = 3 and express it in f(x) = x+ 2 sigma notation.

A: Taylor polynomial of nth degree of f(x) centered at 'a' :          f(x) = f(a)…

Q: 3. Which of the following is always true for any real numbers x, y? For real e > 0, if x-yl se, then…

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Q: Find the inverse Laplace transform of 5s + 1 F(s) = s2 – 7s + 12

A: F(s)=5s+1s2-7s+12       =5s+1s2-3s-4s+12       =5s+1s(s-3)-4(s-3)       =21(s-3)-16(s-4)(s-3)(s-4)…

Q: Let u =, v = where A and B are some constants. Given that ú + 90 = find the value of the product…

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Q: Verify Green's Theorem by evaluating both integrals ƏN y2 dx + x² dy dA ay for the given path. C:…

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Q: Use power series to show that sinh(z) + cosh(x)= e".

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Q: Derivative of f(t) = 8^t[(2t+1)^2+t] using Chain Rule

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Q: Suppose that , g(t) dt = v2 g(t) dt 1. g(u) du 2.

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Q: Q1 - A coin throw three times find: 1. Sample space 2. Probability at least head appear twice…

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Q: 3. Find the integral * dx a² -2 x+1 a.-x - - x - In(x + 1) + C 2 b.x2 – x – In(x + 1) + C c.x2 – x +…

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