How many numbers are there in the set {1,2,3,...,200} which are divisible by either 7 or 9 but not both?

Q: You borrow 150000 DHS from your dad and promise to pay back 176550 DHS in thirty-six (36) months.…

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Q: Problem 1: Determine whether graphs G and H are planar or not. To show planarity, give a planar…

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Q: x' + x + y = et x"+x+y=y=t

A: This is a question of the system of the differential equations.

Q: Which of the following y(t) is the solution to the Initial Value Problem (y")² + (y)² = 1 y (0) = -1…

A: Solve the differential equations, using substitution method

Q: 10. Find the area of the surface generated by reloving the curve -2²+1 ≤ 2 ≤ 2 around the 2-axis. y=

A: The given problem is to find the area of surface generated by revolving the curve y=x2/6 +1/2x ,…

Q: (b) Use the alternating test to study the convergence of the series x 2" Σ(-1)" n! n=1 Remember to…

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Q: Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the…

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Q: Q2- Find I = 8(sin x)

A: Given that I=δsinx

Q: Find the work done by F over the curve in the direction of F = 2xyi + 2yj-yzk r(t) = ti+t²j+ tk,…

A: Formula for work done is  W=∫abF.r'dt Where F=F(r(t))  We have  F=2xyi+2yj-yzkr(t)=ti+t2j+tk, 0≤t≤1…

Q: Use a parametrization to express the area of the surface as a double integral. Then evaluate the…

A: Given surface is: Portion of cone z=4x2+y2 between the planes z = 12 and z = 14. We have to use a…

Q: To obtain some idea of the possible dangers of small errors in the initial conditions, such as those…

A: We can solve the given differential equations.

Q: dy For the differential equation = (y - 3) (+2) there is equilibrium solutions. The positive…

A: The given differential equation is: dydx=y-3y2+2. To find: The positive and negative equilibrium…

Q: f(t)= { -t t -75t 50 °<t <=

A: Since you have posted multiple questions, we will solve the first question for you. If you want any…

Q: - √ ² (² (x - t)u(t)dt 0 12. u(x) = 1 - - 54

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Q: Suppose the vector field v(x, y, z) = (x − 2) i + (−y − 2) j+ (3x − 3) k represents the velocity…

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Q: vely. The circle on AB as diamet hrough two fixed points, the between which is 20 Find the

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Q: sin' (t) -√√² x→0 xm t integer m. With such m, find the limit. Round your answer to 2 decimal…

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Q: = For what values of k does the graph of f(x) a) k > 64 b) * 4 d) k < 64 x² + 16x + k x² + 7x have…

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Q: Consider the system: |x₁x3 + x₂x² = 0 |x₁x³+x²x² = 0 1. Can we solve for x3 and x4 as functions of ₁…

A: Implicit function theorem for system of equations:  Consider a system of equations:…

Q: II. A. Decrypt the following cipher text, having 12 shifts to the RIGHT. ABCDEFGHIJKLMNOPQRSTUVWXY…

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Q: Find the values of p for which the integral convergesand evaluate the integral for those values of…

A: We have given a integral ∫e∞1xln xpdx. To find the given integral is convergent or not. We know that…

Q: with the curve Find the equation of the plane that has three point contact at the origin x = A - 1,…

A: We find the equation of the plane that has three point contact at the origin with the curve x=…

Q: For what interval is the graph of the rational function decreasing? 8 8 4 c) -0 4 -8 a) for no…

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Q: (p-1)(q-1) 4 = (−1)|

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Q: State the equation of f(x) if D = {x = R | x*} and the y-intercept is (0, 2). a) f(x)= x-1 3x - 2 O…

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Q: Using the appropriate annunity formula calculate the monthly payment amount for a $44,010.54 truck.…

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Q: Use the graphs of f(x): = 4 4 119 0 2 4 H f(x)= I i x x-2 4 x-2 20 x² 6 X 4 -00 8 48 to solve the…

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Q: Prove that n²¹ +n²+1 n = 0(n³).

A: To Prove: n4+n2+1n=Θ(n3).

Q: Determine the fractal dimension of the following fractal, called the Cantor dust: O log 3 log 2 O…

A: A Cantor dust is given in a 2D shape.We need to find the fractal dimension of the given fractal.

Q: 213. Find the entries of the following matrices: (a) the 2 x 2 matrix M for the reflection across…

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Q: You borrow 150000 DHS from your dad and promise to pay back 176550 DHS in thirty-six (36) months.…

A: We use the following:

Q: Prove that if p and q are distinct odd primes

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Q: 4. Sketch the graph and identify the location of the vertices and the foci of (x-3)² = 8(y+1)² +1

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Q: 5. Let R be an equivalence relation on a set A. Prove that for all a, b E A, a R biff [a] = [b].

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Q: the ellipsoid Show that the tangent at any point of the curve of the intersection of + = 1 and the…

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Q: Q1- 1 = √² x² √a² — x² dx 0

A: I=∫0ax4a2-x2dx

Q: Use the series solution method to solve the Volterra integral equations: 8. u(x) = 1 + 2 sin r So…

A: Solution of volterra integral equation by using Laplace transformation

Q: Calculate ffs f(x, y, z) dS For Js f(x, y, z) ds = y=5-2², 0≤x, z ≤ 5; f(x, y, z) = z

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Q: A biased coin is flipped 7 times. In a single flip of the coin, the probability of heads is 1/3 and…

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Q: Show that the osculating plane at P has three point contact in general contact of second order) with…

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Q: e following systems, the origin is the equilibrium point. dž Write each system in matrix form = Ax.…

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Q: Let y = O -2 5 and u 3 -8 Find the (2,1)-entry of the orthogonal projection of y onto L = Span{u},…

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Q: Show that Ris not standard tupology but s Cufnite to pulogy, compact for the Compact for the

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Q: QUESTION 14 If the equation of a plane is given by 2x - 10y + 11z = 30 What is the distance from the…

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Q: (c) For every positive integer n, prove that the number of positive integers c with n<√e+ √e< n + 1…

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Q: Find P(dogs). The probability that someone likes dogs. o Write your answer in decimal form. Round to…

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Q: Define f: R → R by f(x) = x 2 + x + 1. What is f[R]? What is f[R +]?

A: Kindly refer to Step 2 for the solution.

Q: F(x, y, z) = (4x, 3y, z), S is a surface bounded by the paraboloid z = x² + y² and z = 9. Evaluate…

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Q: In January 2020 an apartment was priced at 2,450,000 DHS. In May 2020 the price of this apartment…

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Q: Evaluate S xy dx + (x + y)dy along the curve y = 2x² from ( − 3,18) to (-2,8). с Sxy dx + xy dx + (x…

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