Cursive

Q: dx √√x + ³√x X

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Q: 2. Use root test to determine whether the following series is convergent or divergent: 00 (-1)" (In…

A: We have to find whether the series is convergent or  divergent by root test.

Q: Evaluate each integral. √x+Yy dz Jx - "X rx + y 0 Jx-y y dz dy Now evaluate J = = y dV, where E =…

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Q: (t) below, find f'(x). f(x) = (3x³ + 3x²-4).x²

A: Given a function f(x)=(3x3+3x2-4)x2 Formula used : d(xn)=nxn-1

Q: [(x+1)e(x²+2x) dx

A: Given :∫x+1ex2+2xdx

Q: Let f be a function with continuous second partial derivatives and define: = = ƒ (xy³, 12) f if you…

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Q: Determine the area enclosed by y = from x= -3/2 to x = 1. |- 1 x+2 and y = (x + 2)²

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Q: Let be the arithmetic sequence defined by the formula a = 11 + (n-1) × 6 Apply the concepts of the…

A: Given tn= 11 + (n-1) × 6 Compare with tn= a+ (n-1) d⇒a=11,d=6

Q: 7. Given A(3,1,0), B(1,0,2) and C(5,2,−2) determine the following: a. AB b. AC- c. Are points A, B,…

A: The objective of the question is determine the distance and check the collinearity of points.

Q: Please do STEP BY STEP in detail. Thanku

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Q: Find the average value of the function f(x) = over the interval [0, 6] and find c such that f (c)…

A: We have to solve average value

Q: B: Solve the following integrations: a- [x³e-2x¹ dx b-fdx +10 c-f3sec³x. tanx dx arks

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Q: What is the area beneath the curve y=x2 +1 and above the x-axis from x = 0 to x = 4 by using the…

A: Here we have to use Riemann right end sum

Q: Compute the definite integral π/4 0 5 sin² (3x) dx

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Q: 1) Which of the points (x, y) does NOT lie on the unit circle? a) O P(0, -1) b) (-3/3, 3/3) R…

A: Given :Equation of unir circle : x2+y2=1

Q: how did you get ln n - ln 2

A: Given sequence  an = (ln3-ln2)+(ln4-ln3)+(ln5-ln4) +.... We observe this series This series going to…

Q: 5. Find the area of the region bounded by y=x² - 6x +5 and the x-axis. 125 (a) A= square units 3 (b)…

A: To find the area of the region bounded by given curves.

Q: Write an equation for a rational function with: Vertical asymptotes at x = 3 and x = -4 x intercepts…

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Q: Q4\A: Find area of zone bounded by curves y = x² y = 2x+8

A: area bounded by curve  y = x2  y = 2x +8  step 1  find the intersecting point of curves step 2  find…

Q: 2) A: By using partial method solve [2x² cos x dx

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Q: A region bounded by f(y) = √√√y, y = 4, and x = 0 is shown. What is the volume of the solid formed…

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Q: x² - xy (x,y) (0,0) √√√√y If it exists, find lim Answer: .Write DNE of the limit does not exist.

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Q: 8. y = In (In (In x))

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Q: 3. Find the general solution of the following DE. y' = 3 (y + 1) O y = ce³x - 1 3y = ce³x - 1 Oy =…

A: Use variable separable to Solve this problem.

Q: 7. Integral cos x dx sin x

A: This question is related to integration, we will solve it using given information.

Q: Find the general solution of the differential equation y" — y' - 12y -32t + 24t². NOTE: Use t as the…

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Q: I co cot-1 xdr

A: The given integral is cot-1x.

Q: 1 -1 -2 Use the figure below to find the exact values of the following definite integrals. 6 8 10…

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Q: How much money should David invest today into a fund that earns interest at 3.50% compounded…

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Q: Find the general solution of the following differential equation. y" + 5y +6y=0 NOTE: Use c₁ and ca…

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Q: T₁ 0 1+e²x dx Hint: e²* = (e*)²

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Q: Given f(x) = cos(x) - 2x² + 3x - 1, then f"(0) is equal to- Ο -5 Ο Ο Ο Ο Ο Ο -3 Ο -1 None of them O

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Q: Solve the initial value problem y" + 10y' + 25y = 0, y(-1) = 6, y'(-1) = 6. y(t) =

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Q: The base of a three-dimensional figure is bound by the circle x² + y² = 9. Vertical cross sections…

A: Given that,

Q: The pressure P and volume V of an expanding gas are related by the formula PVb = C, where b and C…

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Q: 1. Find the area bounded by r = cos 0 for -π/2 ≤0 ≤π/2. 2. Find the length of the r(t)= , 1 ≤ t ≤ 5…

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Q: why do you think is important to calculate those 8 basic ratios  shown in picture

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Q: 2 When proving the limit lim(11x + 2) = 35, and e > 0 is given, what is an appropriate choice for 6?…

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Q: Evaluate √t (3t-t²) dt

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Q: J sin(lnx) dx

A: Let's solve given integration.

Q: 19. Water is leaking out of an inverted conical tank at a rate of 10,000 cm³/min at the same time…

A: I am attaching image so that you understand each and every step.

Q: Q5: Solve the equation by Grammars rule: 2x + 3y - 4z = -3x+2y + 3 = 3 . 3x-y-z = 6

A: Calculating determinant of a matrix is the key requirement for this problem.

Q: Given the complex-valued function 1+z z² Evaluate f (¹) (A) -4-3i (B) - f(z) = (C) −¹+²i (D) none of…

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Q: The base of a three-dimensional figure is bound by the line X = √y on the interval [1, 4]. Vertical…

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Q: Assume x and y are functions of t. Evaluate dy/dt. 12) x3+y3=9;- dx dt 13) xy + x = 12; dx dt = 4, x…

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Q: UESTI What is the value of c in the interval (16, 36) guaranteed by the Mean Value Theorem for the…

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Q: Consider the following equations. 124 O Sketch the region bounded by the graphs of the equations. y…

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Q: 6. Find the (xy + 1) dx + x (x + 4y − 2) dy = 0 integrating factor and solve DE. In x + xy + 2y (y −…

A: A detailed solution is given below.

Q: 6. Find the radius of convergence and the interval of convergence for Σ-0¹ (x - 2)". 7. Find the…

A: See this solution in below.

Q: Use the matrices below to perform matrix multiplication. B = If the operation is undefined, enter…

A: We have to find products