(11) 11. Prove by induction that 1 1 1+ + + 22 3² + - <2 - 17/1 n² n Vn > 2.

Q: WORK PROBLEMS (6 Question 1 a) i b) c) s): You must provide a clear and detailed solution for each…

A:

Q: 4. Find the slope of f(x) = hundredth. -3x-1 at (2,-1.65). Use a graphing utility and round to the…

A:

Q: 10 Show that (pVg) ^ (p Vr) → (q Vr) is a tautology. (construct the truth table)

A: The given statement is (p∨q)∧(¬∨r)→(q∨r) To check if it is a tautology draw the truth table

Q: Find the flux of the field F(x,y,z)=z¹ i+xj- 6z k outward through the surface cut from the parabolic…

A:

Q: Find linearly independent functions that are annihilated by the given differential operator. (Give…

A:

Q: Suppose that sin(a) = 4/6 and cos(b) =1/6 define in the first quadrant, determine sin(a-b). (round…

A:

Q: (3) If {f} converges uniformly converges uniformly on [a, b]. on (a, b) and {fn(a)} and {fn(b)}…

A:

Q: Find the general solution for the differential equation. - y(x) = (C₁ + C3x) cos(x) + (c₂ +…

A:

Q: 8. A person on a high-protein, low-carbohydrate diet requires at least 100 units of protein and at…

A: Given: A person requires at least 100 units of protein and at most 24 units of carbohydrates. To…

Q: Write the form of a particular solution to y(³) + y" C₁ out determining the coefficients, given that…

A:

Q: Find a single matrix for the transformation that is equivalent to doing the following four…

A:

Q: 4.6.11. Prove the following identities. n+2 2n (a) n i=1 =2- (for n ≥ 1).

A:

Q: EXTRA CREDIT Find the total area between the graph of f(x) = x² – 11x + 24 and the x-axis on the…

A:

Q: The sum of infinite number of terms in G.P. is 20 and the sum of their squares is 100. Then find…

A:

Q: To find a particular solution for the differential equation 3y"-24 y' +36 y=e10x with the variation…

A:

Q: Since f'(x) is a function, f'(x) has its own graph, one that is based on the behavior of f(x). O…

A:

Q: (1 point) Let [] Use the Gram-Schmidt process to determine an orthonormal basis for the subspace of…

A:

Q: 2. Show that 27 | (5²² – 4).

A:

Q: Find the volume of the solid bounded by the cylinders x² + z² = 1 and y² + z² = 1.

A: The given problem is to find the volume of the solid bounded by the given cylinders x2+z2=1 and…

Q: Find the Fourier series of the following function, from the series estimate the value of x= 0175…

A:

Q: (c) Find a power series representation for fx arctan(x) dx. You can use the sigma notation or the…

A: Here we use series for arctan x. Also in the last question we use Taylor error approximation.

Q: Show that 1 3+2 4+3.5++ n(n+2) = 1.3= 1(1+1)[2(1)+7] 6 Simplify S₁ on the right. 3= 3 Is S₁ a true…

A: Given that the statement is Sn: 1.3 + 2.4 + 3.5 + … + n. (n + 2) = [n(n + 1)(2n + 7)]/6 Now let us…

Q: determine terms up to and including x5 in two linearly independent power series solutions of the…

A:

Q: n=1 11" (x − 4)"(n+1) n+ 11

A:

Q: circle, and extends to the points (-2,18) and (-5,10) (these points are on the diameter of this…

A:

Q: SOLVE STEP BY STEP IN MAT Determine the equations of the lines tangent and normal to the curve…

A:

Q: Let S = {−9t²+2t −7, mt-45t²-35} be a set of 2 polynomials in P, 2° Choose m such that the set S is…

A: The given set S=-9t2+2t-7, mt-45t2-35 of P2. We have to find the value of m such that S is linearly…

Q: Ifx +2y+32 = x2 + 2y2 + 3z2 = x² + 2y3 + 3z3 = 2, and xx +2y2y3 +3z₂Z3 = x3x₁ +2y3v₁ +3Z3Z1 = x₁x₂ +…

A:

Q: Find the surface integral of the field F(x,y,z)=yi-xj+5 k across the portion of the sphere x² + y² +…

A:

Q: QUESTION 37 Find the length of the conjugate axis of the hyperbola. A. 5 B. 6 C.7 D.8 QUESTION 38…

A:

Q: √4-x² 1²₂ S +*² S-14-x²-y² x dzdxdy

A: As per the question we are given a triple integral and we will evaluate it by changing it from…

Q: Solve the area bounded by the parabola y2 = 4x and the line y = 2x - 4 in two ways. Answer: 2 sq.…

A:

Q: Strontium-90 is a radioactive material that decays according to the function A(t) = Age-0.0244t,…

A:

Q: 1 √x y³+1 2 Sőt. S²/E 0 dydx

A: We are given an integral. Our aim is to evaluate the integral ∫04∫x21y3+1dydx.

Q: If bc + qr = ca + rp = ab + pq = -1, then prove that ap a P bq b cr C 9 = 0. r

A:

Q: Question 2 ( a) Evaluate L{eot} b) Evaluate C{(t−2)² + sin 6t + cos 7t} c) Use the Laplace transform…

A:

Q: 5. Given the region R on the right, use vertical strip, SET UP the double integral that will solve…

A:

Q: Q2. Evaluate Sdx using Simpson's rule with N = 4 and hence find the 1+x³ approximate value of In 2

A: The given problem is to evaluate the given integral by using Simpsons rule and find the approximate…

Q: Q 3: Solve the following differential equations: A) (x + y 1)dx + (2x + 2y + 1)dy = 0. B) (x² +…

A:

Q: |x₁ + 2x₂ + 3x₂ =¬ Solve the linear equation systems 2x, +5x₂+2x, = -8 by using Crout method, where…

A:

Q: Determine whether the integral is convergent or divergent. Evaluate if it is convergent. f^b a…

A:

Q: Find all solutions of the congruence x^2 = 208 (mod 7368787).

A: As per the question we are given the following quadratic congruence equation : x2 ≡ 208 (mod…

Q: Limit calculations. For each real-valued sequence, explain whether it is convergent, divergent to…

A: The given sequences are, c) sn=-2n·n-12n·n2-2n+1 d) sn=2 sin nn2+2. We have to check the convergence…

Q: Use annihilators to solve "-6y +9y=e5t

A:

Q: numbers The summ e of i'm finite of terms in Gy.p. is 20, and the sum of their squars is loo, the…

A: We have to solve given Questions.

Q: The polar equation rsin²0 -∞ < t < ∞ represent exactly the same curve. = 2 cos 0, 0 <0 ≤ /2 and the…

A:

Q: Sports Authority marks up New Balance sneakers $30 and sells them for $109. Markup is on cost. What…

A:

Q: (D² − 1)y=e*(x² + 1)

A: THE HOMOGENOUS EQUATION IS , D2-1y=0 SO, THE AUXILLARY EQUATION IS, D2-1=0⇒D=1,-1 THE HOMOGENOUS…

Q: Use the Generalized Principle of Inclusion and Exclusion to find the number nonnegative integer…

A: Given: The given equation is x1+x2+x3+x4+x5=28. To find: We have to find the number of non-negative…

Q: * Differentiate wo.r.t x. ↑ 介 x² + 5x²y² + y² = 2 =) 2x + 2x + (5x+1). 25 dy da + 1/[(522² +1) 8²] =…

A: