A limacon with a dent symmetric to the polar axis, and points to the left. the left. A cardioid symmetric with respect to the polar axis, and points A convex limacon symmetric with respect to the n/2 - axis, and points to the A cardioid symmetric with respect to the n/2 - axis, and points to the left.

Q: 33. d dt 10+1

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Q: Let X = {6, 7, 8, 9) and let the relation R on X be given by R = {(x, y): 3 z e N₁ x + z = y}, where…

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Q: Define the following algebraic structures and provide one nontrivial example of each. (c) field (a)…

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Q: using Polar tics II, e the card Find the Q3) By using the polar find region enclosed by y = x² and y…

A: To use polar coordinates to find the region enclosed by the below equations. y=x2y=1

Q: In the use of RSA Cryptography, for the public key (11, 65), what is the decrypted original message…

A: Solution :-

Q: *** ***** x dx +ln(x) Sex 2ra

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Q: Suppose that 100 lottery tickets are given out in sequence to the first 100 guests to arrive at a…

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Q: (c) The figure shows two similar prisms, if the volume of Prism I is 40 cm³, find the volume of…

A: Solution :-

Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² +…

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Q: All statements below are false. Provide a counterexample of f and g each. (a) If f + g and fg are…

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Q: hi: Z12 → 26, i = 1,2 is the homomorphism of the circuits a 2xmod (6) = a) h1 (x) b) h2 (x) = xmod…

A: This is a question of abstract algebra.

Q: (B) Use Tabular integration f(t³-4t² to evaluate the following: - + 5t + 32) sin(t)dt

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Q: 4.In the mathematical Equation of Linear Regression y=a + a₁x+e₁ (ao,a₁) refers to a. (Y-intercept,…

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Q: 2. (a) How many lines of symmetry does a regular octagon have?

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Q: = 72. P(₁,1) and P(r2, 82) represent the same point in polar coordinates, then ri

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Q: 8. Answer the following questions. (a) Sketch the graph of f'(x) by using the given graph of y =…

A: Given, Graph of f(x).

Q: 2x - 3y = 6 6x - 9y = 10 Use substitution method

A: here We use substituion method

Q: Which of the following represents the area of the region bounded by y = 2, x = 0, y = 0, z = 0 and y…

A: Use the given information.

Q: 4. Using De Moivre's Theorem, show that sin (30) = = 3 sin 0 - 4 sin³ 0. Hence, by utilizing the…

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Q: (c) The figure shows two similar prisms, if the volume of Prism I is 40 cm³, find the volume of…

A: To find the volume of prism using formula  Volume V = BH where B is base area and H is height of…

Q: b) the volume of the solid B that lies above the cone z = √3x² + 3y2 and below the sphere x² + y² +…

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Q: On the plans for a treehouse, a beam represented by QR has endpoints Q9-6, 2) and R(-1,8). A…

A: Given endpoints of beam QR are -6,2 and (-1,8) and endpoints of beam ST are -3,6 and -8,5.

Q: Set up the triple integral that will give the following: (b) the volume of the solid B that lies…

A: Region B is bounded by the Red Colour graph.

Q: Prove that If G Her 3-9 IS is an open set dense in the denx. S nowhere me tric space (sid)

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Q: Evaluate ff F.n ds where F(x, y, z) = 12xi +24j+24x²k and is that portion of the paraboloid z = x² +…

A: We will find normal vector n and region of integral on xy plane to find value of integral .

Q: Brandon is on one side of a river that is 70 m wide and wants to reach a point 250 m downstream on…

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Q: 2 1. Given a space curve a:1= [0,2m] → R³, such that a ()= a(), then a(t) is... Curve A. a closed D.…

A: Solution : 1  Option ( B) is correct  Simple

Q: 5. The amount Q(t) measured in milligrams of a prescription medica t hours after ingestion is…

A: The amount of medicine in the body after time t hours is: Qt=5000.75t The general form of decay…

Q: what is the log trans formed. form of t

A: Given,         V=aPb

Q: 1. A = set containing elements of 2 where the 2nd and 3rd balls selected are blue

A: Please see the attachment

Q: The curve defined by any parametric equations X = f(t), y = g(t) is always a function.

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Q: 12. Given the differential equation x dx = 0 and one solution y₁ = A (constant), use reduction of…

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Q: A) Consider the vector-field F(x, y) = 2xy³i+ 3y²x²j. 1. Show that F is conservative. 2. Find a…

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Q: 2. (a) How many lines of symmetry does a regular octagon have?

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Q: F C

A: FEBAEFD is  a path  FBCCD is a path FEABFD is a path

Q: system of equations using Gauss Jordan method: 342 12 3 231 4 Solve the Assis following

A: We need to solve the given system of equation using Gauss Jorden method.

Q: B) let y 3sin5x - 2cos5x show that y + 25y = 0

A: Solution :

Q: Derive a three-point formula of order O(h²) to approximate f'(ro) that uses f(xo-h), f(ro), f(xo +…

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Q: Use direct proof to show, "If m + n and n + p are even integers (s and t), where m, n, and pare…

A: To answer the given questions we shall use the following definition  An integer n is said to be even…

Q: Let X = {6, 7, 8, 9) and let the relation R on X be given by R = {(x, y): 3 z e N, x + z = y}, where…

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Q: =2) Calculate & ydx + xz² dy - zy³ dz, where c is the circle x² + y² = 4, Z=3 (conterclockwise)…

A: We will use stokes theorem to find integral

Q: 2 3 4 5 6 7 8 8) and B = (1 3 8 7 6 5 2 4 Aut (Z20) is isomorphic to Compute (aß). A. Z20 B. Z4 Z5…

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Q: If we use the normal equation method to solve the linear least square (LS) problems Ax=b, where the…

A: Please see the attachment

Q: 7. Sara wants to show that (a × b) × ĉ ‡ â × (6 × č). Yasmina says that it is impossible and comes…

A: This question from vector calculus.

Q: a) Let R be the set of real numbers, C = (0, 10], D = (9, 15], E = {1, 2, 3} and F = (7, 10). Find:…

A: Given, sets C=(0,10], D=(9,15], E={1,2,3} and F=(7,10).

Q: 1 4. Given the functions f(x)= -()* and f₂(x)= 10 fi increases rapidly than f₂ fill in the blank…

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Q: Find the area of the Earth's surface which lies further north than the 45°N latitude. Assume the…

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Q: The points P(-1,0, 4), Q(1, 2, 4) and (0, -1, 3) are vertices of a right triangle.

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Q: 2x + y = 5 X - y = 1 Use substitution method

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Q: 2x + 6y = 4 5x + 15y = 10 Use the substitution method and show work.

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