Solve the nonlinear inequality. Express the solution using interval notation. 3 + x ≥ 1 3-x Graph the solution set. Use the tools to enter your answer. -10 -8 -2 O 2 00 10

Q: |x (t) - X So, dF(t) dt = 28(t + 2) — 28(t − 2) — rect(+¹) +rect (¹¹) 2 (+)........ + = F₁ (t) + F₂…

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Q: Name sets with cardinality (a) 365, (b) 12, (c) 7, (d) 11.5, (e) 0, (f) 1024.  

A: Given: The cardinalities, (a) 365, (b) 12, (c) 7, (d) 11.5, (e) 0, (f) 1024. To name: The sets with…

Q: 4. Let f(x, y, z) = cos(zy) - e²². (a) (b) (c) Find an equation of the tangent plane to the level…

A: Disclaimer: Since, you have asked to solve part (A) and (B), the two parts have been solved. Please…

Q: a) Let y = 1*. Then 1x=0.5= dy dx dy |x=0.5 g'(0.5) = dx b) Let g(x) be the linear function so that…

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Q: 5) Form a DE by eliminating the arbitrary constants from the equation y = asin(4x + 1).

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Q: i) How many people can speak both Hindi and E- i) How many people can speak Hindi only?

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Q: 4 Find the F.T. of the following Signals using differentiation. pro X(t) = 2 S (t+2) - 2 S(t-2)…

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Q: Express (2-1) in partial fractions. If sin A=, prove that tan A+ sec A = 3, when A is an acute…

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Q: Suppose that blood chloride concentration (mmol/L) has a normal distribution with mean 107 and…

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Q: 03/: Find the area over the region R that lies inside the cardioid r=1+cose and outside the circle…

A: The given problem is to find area of region R that lies inside the cardioid and outside the circle…

Q: Apply Fourier transform, jw F(w) = F₁ (w) + F₂ (w)...... equation 2 F₁ (t) = −6(t + 2) +…

A: What is Dirac Delta Function: The unit impulse, sometimes referred to as the Dirac delta…

Q: Explain Theorem of Solutions of Nonhomogeneous Systems?

A: To Explain: The theorem of Solutions of Nonhomogeneous Systems.

Q: In a group of 500 people, 350 speak Hindi and 300 speak English. It is given that each person speaks…

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Q: Find. F.T the rect(t) vec ) دا t+1

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Q: Transform the below system into the simpler upper triangular form? a11x1 + a12x2 +. . .   + a1nxn =…

A: Given system is a11x1+a12x2+...+a1nxn=b1a21x1+a22x2+...+a2nxn=b2⋮an1x1+an2x2+...+annxn=bn Using…

Q: 2. If the edge of a cube is 1.75 m, then how many square centimeters are there in its entire…

A: Sol:- Edge of Cube = a = 1.75m Entire surface area = 6a2

Q: Express f(x) = cos wx, - <x<n, as a Fourier series. Hence prove that 2w 2w coton = 2w + 12)(a)²-22)…

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Q: Let Ω be a set and A = {A ⊂ Ω : A is finite or Ac is finite }

A: given that Ω is a set and also given A ⊂Ω if Ω contains n elements  then A contains (n-1) elements…

Q: Find the differential equations of the following primitives by eliminating the arbitrary constants.…

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Q: Suppose you have 3 people: Alice, Bob, and Carol. • Each person is Helpful or Unhelpful. • A Helpful…

A: We consider 3 cases.  Case - 1: Suppose Alice is unhelpful.  =&gt; Alice is lying =&gt; Bob is not…

Q: f(x) = x^2-12=0 has a root near x=3.Apply 4 iterations of the secant method with initial…

A: Given: f(x)=x2-12, x1=2 and x2=3. To find: Four iterations of secant method and determine the number…

Q: for the binary system if the entropy =0.9710, so the probabilities are: O a. 0.3 and 0.7 b. 0.2 and…

A: Sol

Q: The set of functions {Po, P1,..., Pn} in [a, b] is called a set of orthonormal functions, with…

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Q: The integers from 1 to 37 are written down, in some order, in one long row. Prove that it is…

A: Definition of increasing order - A list of elements say { a1,a2,...,an} is called in increasing…

Q: 9. Two dice (black and white) are rolled. Test if the following events are independent: A: Black die…

A: In independent  case we know that  P(A intersection B ) = P(A) x P(B)  So A and B are independent .…

Q: Q2:/ Sketch the region (R) of integration ſſ x² dydx and evaluate the integration. Then reverse the…

A: What is Double Integral: We use iterated integral when a function that depends on two independent…

Q: Find point D where D is a point on AB where AD 1 CD. Then compute A = |AB||CD|

A: Find the steps below.

Q: Solve the system 21 12 23 || -10 1 0 -9 -10 1 0 +s 0 1 0 1 +t 1 0 4x1 -3x2 -I1 +12 -212 +3x2 3x1…

A: The given system of linear equation…

Q: Apply Fourier transform, jw F(w) = F₁ (w) + F₂ (w)...... equation 2 |F₁(t) = −8(t + 2) +…

A: Sol

Q: 3- Determine the type of the singularity of f(z) sin (z) (Z-TC) 3x 4- Determine a such that the…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: dy -y- dx 2x, given that when y=0, x=+2

A: We need to solve the given differential equation with its initial conditions. As the equation is of…

Q: Let f(x) = x³ + x + 1 and P(x) be a cubic polynomial such that P (0) = -1 and roots of P (x) = 0 are…

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Q: Show that the differential equation x¹y³ + x(1+y¹)y' = 0 is not exact, but becomes exact when…

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Q: Let 2 be the rectangle [0, a] x [0,b] in R². Find all possible product solutions satisfying u(x,…

A: Separation of variables.

Q: In this worksheet, you will be defining 30 unique matrices denoted by the letters of the alphabet.…

A: A matrix is said to be of the order 2×5 if there are 2 rows and 5 columns .  Now we define three 2×5…

Q: Letf(x) be a polynomial with integral coefficients. Iff(1) and f(2) both are odd integers, prove…

A: Let us assume that  f(x)=0 for some integer x=k, then x-k divides f(x). therefore  f(x)=(x-k)g(x) ;…

Q: Needed to be solved B part only By hand solution needed

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Q: A rectangle piece of metal is 10 in longer than it is wide. Squares with sides 2 in long are cut…

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Q: Q4) Find the complete solution of the following equations: a) y" +3y' = sin x + 2 cos x (15)

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Q: A rectangular field is to have an area of 700 m². a. Write the perimeter, P, of the field as a…

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Q: Prove that if a polynomial function p(x)= a + ax + ₂x² is zero for x=-1, x-0, and x-1, then a - a₂…

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Q: Determine the right most digit of 10000 the number 2 7x 137

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Q: Find sun alpha and tan alpha if the terminal side of alpha lies along the line y=-8x in Q2

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Q: What is the number of integers with (a) at most n (decimal) digits; (b) exactly n digits…

A: What is the number of integers with (a) at most n (decimal) digits; (b) exactly n digits (don’t…

Q: Explain how you could rewrite a statement with 4 negations without any negations.

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Q: Verify that the Legendre polynomise P(x) = (35x³ 30x² + 3)/8 satisfies the Legendre equation when…

A: The Legendre polynomial P4(x) is 1835x4-30x2+3, the highest power of x is 4, not 3 as given in the…

Q: 2.) 98-8 s² +248

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Q: a) Solve the following first-order differential equations: dy = -y 2x, given that when y=0, x=+2 dx

A: We have given  -y dy/dx = 2x when y = 0 and x = +-2

Q: Find the F. T of the following Signals X(t)=28(t + 2) — 28(t-2)-rect(²¹)+rect(²¹)

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Q: If f(x) = at a + √a 2n-1 "I 2f ( 217 ) Σ r=1 (a) 1 (a > 0), then the value of (b) 2n

A: (x)+f(1-x)=1