V312-x2 31 dydx = %3D 1+x2+y2 Jo int062) ○ 푸n(31) 2 O In(962) O TIn(962) O 2nln(31)

Q: a) Determine whether the series 11n? + 8n + 32 is n³ + 3n² – 7n+ 1 n=1 convergent or divergent. b)…

A: !) The given series is: ∑n=1∞11n2+8n+32n3+3n2-7n+1 Let, an=11n2+8n+32n3+3n2-7n+1; n≥1& bn=1n;…

Q: Using linear approximation formula, approximate ln(1.02) 0.02 O 1.02 O In (1.02) O In (0.02)

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Q: a) [. :l: Determine whether the following series (-1)"5"-1n . 42n+1 n=1 is convergent or divergent.…

A: As per policy only first question is answered. Please refer to the image below

Q: Sider tne two 00 6n (a) 2 5n + 39 n=1 00 (b) 2 n2 In n n=1 Which of the following statements is true…

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Q: Evaluate the integral of sinº x dx from o to n/2. А. П/32 В. гп/17 С. зп/32 D. 5n/32

A: We know, 2sin2A=1−cos2A  2cos2A=1+cos2A2cosAcosB=cos(A+B)+cos(A−B)

Q: cos4x dx cos2x-sin2x

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Q: If f(x, y) = y cos(x) – x³ In(y), find the second partial derivative dy dx

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Q: 3 B. Find the eigenvalues. -. 2,= -1 & 1z= 4 B. A,= 2 & 12= 2 C. A,= 4 & 12= 1 E Nona

A: Topic:- matrix algebra

Q: In (x + x²) dx

A: Given problem:- ∫ ln(x+x2) dx

Q: A dynamite blast blows a heavy rock straight up with a launch velocity of 160 ft/sec. It reaches a…

A: First find critical point then check where it is maximum and put value of critical point in…

Q: answer

A: Please refer to the image below

Q: 422+8z-18 dz 3. S

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Q: (b) Solve the following first-order ODE xy'y=2x* +2y*

A: Given that ODE                 xy3y' = 2x4 + 2y4 We can write this equation as   y' =2x4+2y4xy3…

Q: Q1) Using numerical integration to estimate the area (r=4 )and c(4,0) with n=4 of the semicircle

A: Trapezoidal rule: One of the most significant integration rules in Calculus is the "Trapezoidal…

Q: for In (x + x) dx

A: A detailed solution is given below.

Q: Consider the function g defined by 1 g(x, y) = cos (Tx VT) + log3 (x – y)" Determine

A: We can solve this as follows:

Q: You make $8.45 an h before taxes? a) $278.85 b) $295.75 c) $302.07 d) $338.00

A: Topic:- algebra

Q: Given the following vector field and oriented curve C, evaluate F•T ds. F= (-6y,6x) on the…

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Q: loof yadT h 5: A party planner is trying to hang a sign between a house and a palm tree for…

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Q: 1) A box containing a group of balls (blue and red) totaling 25 balls. If nother Five blue balls are…

A: Topic:- probability

Q: Make a sketch of the following vector field. F= (5e%,0) Choose the correct vector field below. O A.…

A: We need to draw vector field.

Q: Spot the source/start of the mistakes and say something about it. S2 sec (a) dæ Given: Step 1:…

A:

Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder.…

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Q: Solve the following indefinite integral. Show complete solutions. 1. S (9z² + 14z – 2) dz -

A: ∫(9z2+14z-2)dz

Q: a. For the given value of n, use sigma notation to write the midpoint Riemann sums. f(x) = cos 2x…

A:

Q: Use the definition of continuity to show that h(x) = x^2 + 5x/2x + 1 is continuous at the number a…

A: The given function,   h(x)=x2+5x2x+1

Q: 4. cscó 3x dx 5. ſ cots x dx

A:

Q: Not yet answered Marke Prove that f(x) = (x- 1) + (x +1)² is an even function. A function k(x) is an…

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Q: Suppose that k(x) is a continuous function defined on the domain 0 sxs5 and is graphed to the right.…

A: Critical points are defined as those points where the derivative ia either zero or infinity.

Q: Let R=[0,1]x[0,1]. хуз dA= 41x2+1 R

A:

Q: Simplify the expression to the form a" where m is an integer. Find the value of m. Answer:

A:

Q: Evaluate:* (s-20 Is²-9. :L-1

A: Given; (s-20) /(s2-9).

Q: II. Consider the function g defined by 1 g(x, y) = cos (TxVy) + log3(x – y)" Do as indicated. 3. In…

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Q: The series 00 14 2+ Vn2 1+ Vna n=1 is convergent if and only if: Select one: 144 a > а. b. a 4 d.…

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Q: why teach mathematics in the primary school

A: In the primary school, basic mathematics is teaching like mathematics operation , counting, tables

Q: The series 33n-54-1-2n is n=1 Select one: а. is convergent but not a geometric series. O b. is…

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Q: Find the vertical asymptote(s) of the graph of the function. 4. *+ Br + 15

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Q: Evaluate: L-1 [2s-9) ls²+2)

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Q: dy at x = 2 for the function below. dx Evaluate у%3D — 2и + 4и + 9, where u %3D 4x2 — бх + 5

A: Given that,    y=-2u3+4u+9, where u=4x2-6x+5

Q: 2) Find the volume of the solid under the plane z = 3x +y and above the region determined by y = x'…

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Q: The radius of a circular oil slick expands at a rate of 7 m/min. (a) How fast is the area of the oil…

A: Given problem:- The radius of a circular oil slick expands at a rate of 7 m/min.   (a) How fast is…

Q: If 2(-1)" a, is absolutely convergente the n=0 na, is divergente. Select one: O True O False

A: Topic:- sequence and series

Q: A ball is thrown vertically upward with a speed of 15 m/s. Determine the maximum height and the time…

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Q: Find F as a function of x and evaluate it at x = 2, x = 5 and x = 8. F(x) = [ (13 + 6t - 5) dt F(x)…

A: given a definite integral

Q: The following series is convergent: 3n 2n? – 1 Σ 4 + 5n2 n=1 Select one: True O False

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Q: Find * L(e2t t2)

A:

Q: 3. Two vectors, à and b, have a common starting point with an angle of 120° between them. The…

A: Solving

Q: cos 3x cos 4x dx 5.

A: We will use formula of 2cosAcosB to evaluate the integral.

Q: Evaluate the following integrals. Use only the variables "u" (and "v" if applicable) in your…

A: Question number 1 has been solved as per the prescribed format.

Q: 1-Determine the order of each matrix. 2 -3) b-() c-(105 311) а — 4.1 4 2-Determine the value of each…

A: