* Evalute by use taylor series. ) lim ê-(I+x) メーラ。 x² 3 lim sin ひ→。 --X 2) lim メー→ e - e os

Q: Confirm that summation d/36 ϕ(d) = 36 and summation d/36 (-1)^(36/d) ϕ(d) = 0

A: We have to confirm that ∑d/36φ(d)=36 and ∑d/36(-1)36/dφ(d)=0.

Q: Calculate whether it is convergent or divergent. (4x)2* x=1

A: Given series is ∑x=1∞(4x)2xexx2x

Q: Let f(x) = find f(") (x). 2z O a. (-1)"i"(n+2)! O b. (n+2)! Oc. (-1)"(n+2)! 6z13 O d. (-1)"(n+2)! O…

A: The given function is  f(x) = 12x3

Q: A- L [ Sin2t + cos2+] ² 2 B 32 3-2 [37-² + cost's *] 3 2

A:

Q: Let f(x, y) = 5e*" and c(t) = (2r², r³). Calculate (f • c)(t). Use the first special case of the…

A:

Q: d of undetermined coefficients/annihilators, but can be

A:

Q: Evaluate cos(x) – 1 + lim 2 12a4 Hint: Using power series.

A:

Q: The solutions of cosh(2x) = 8sinhx - 5 are a) x = ln (4+ √17) and x = ln (1 + in (1 + √2) b) x = ln…

A:

Q: If g(t) = £? (e-35-*), a farmula for L (e* g14) is? -8t +8 a) ede+25 b) e 3e+17

A: Given g(t)=ℒ-1e-3s-7

Q: 0. Reciprocal Substitution (x´ - x')"3

A:

Q: For &) r 0x xi روا show that ܕܕܥ in the region where #0

A: Given that .We need to show that (a) , and (b)  in the region, where  in .We know that .

Q: d. (6j-7) / (3j-12) е. (8e/4)(Зе/8) f. (2230)/ (4260) 12ejs g. 34 h. (2ei*)(2/4) i. (5(cos(20) +…

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

Q: Write the first three terms of the Taylor series for f(x) =Vx at a = 1. Show your reasoning

A:

Q: 16 2){-1 ls(s² + 4)²,

A:

Q: Find the factor of x'+4x +5x+2. .a O (x-1) .b O (x-2) .c O None of these .d O (x+1)

A: Let f(x) = x3+4x2+5x+2 Then (x-a) is a factor of f(x) if and only if f(a) = 0   For option (a)  To…

Q: Find the coefficient of the term containing x' in the expansion of (2x-y)°.

A: Binomial theorem

Q: 1. Suppose that X ~ B(10, 0.12). Calculate: (b) P(X= 6) (е) Е(X) (а) Р(Х — 3) (d) P(X>7) (c) P(X<2)…

A: As per our guidelines we are suppose to answerthree sub parts.Given,A random variable X~B(10 ,…

Q: Find Solution of Homogeneous linear ODE s (D°, 60 +131 Jy

A:

Q: 12 y' (12x +5) (4y* +3)° b. If y* +3y-4x' = 5x+1, then prove that y"(4y +3) = 24.x--

A:

Q: 2020-21 Algeb.► Briana Berisha - Topics8H Q4-2 - 20-21.pdf Simplify 2x 4 19. 2x + 8 a. ズー2 C. X + 4…

A: To simplify the given expression.

Q: xdx x² - 4x (x+2XX-2

A:

Q: (4x*) for all x#0? Show the manipulations that lead to your 5. Which of the following is equivalent…

A: Explanation of the answer is as follows

Q: a rational number y=10.01 b) Assume an integer, b=2 from 111 to 9 I assume from the range (0, ³/25).…

A: Given, X~Uniformx-32, x+32

Q: 를 + 2 I→-5 5-+x

A:

Q: te the Taylor series for f(x) = S

A:

Q: Evaluate: (교2 + 4)- (A) None of the above (22 + 4) tan- (E) + x +C 16 (a2 + 4) B f (x) = %3D © f (x)…

A: The objective of the question is evaluate the indefinite integral and choose the correct option.

Q: Show by two methods one algebraic and one combinatorial that: ΣΗ (E) (-) = (m*") -k=0

A:

Q: X2 4 3) lim メーや2 3-Jx2ょ5 it

A: We will find the solution of this problem.  Here,  we will use L.HOSPITAL. RULE.

Q: 2x³y' = y(2x² - y²)

A: We have to solve the given ordinary differential equation.

Q: 1 Let F,= (,1]. 00 Then U.Fn %3D n=1 [0,1) .A O (0,1).B O (0,00).co (0,1].D O

A: Option D is correct.

Q: O Evaluate : r (응)r(용)

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Which of the following is the ODE of the equation Iny = C1e* + 2? Select one: O yy" + y²y' +lny =…

A: Given: lny=C1ex+C2ex To Find: Which one of the option is correct:…