J 6x x +3 dx

Q: Question 1 (a) Identify a suitable method to solve the following first-order differential equation.…

A: Given problem:-

Q: LAJM Q.16) Using the method of partial fractions x²-3x² b)-1 Q.17) The general term of the sequence…

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Q: a=i+3j 2k, and b=i-3j-k, and c = 2ī+j-k, then...

A: Given problem:- a = i + 3j − 2k b=i - 3j - k c= 2ì + j − k  Then find v= 3(a - 2b +5c).

Q: (Laplace transform method) u(x) = -16 (x-1)(1)dt 6

A: Given :u(x)=x36-∫0xx-tutdt

Q: 5 sin coso do 2 Sin ² + 3 sin 0 -4

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Q: SR f(y-2x²)dA Where R is the region bounded by |x + y = 1?

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Q: ****** For Q.11 and Q.12, i), then Q11) The radius of convergence is a) R - 1 Q.12) The interval of…

A: We need to find radius and interval of convergence.

Q: 6. Obtain the TSE of f(x)=2x-² in powers of (x-1).

A: Solution is here

Q: Figure out the volume of a solid created by revolution of the the region be een two functions f(x) =…

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Q: Find the limit algebraically by factoring the expression first. lim x--10 x + 10 -10x² + 1000

A: Follow the procedure given below.

Q: 8. If the slope of the line (k + 1)x + ky − 3 = 0 is -2, find k.

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Q: Evaluate +y² 1 Ez² + y² JJJ₁² dV, where E lies between the spheres z² + y² + 2² +2² 16 in the first…

A: Given that,

Q: x and y are functions of a third variable t. If √√x + √= 5 and dt = 2, find when = dt 1

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Q: • Evaluate ¹ € (0+2) -doc

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Q: For the function R whose graph is shown, state the following. (If the limit is infinite, enter '' or…

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Q: Question 2. Evaluate the following integral 1. 1., integration (shade the region). Show all your…

A: Given problem:-

Q: L₁ (r + 1)² dr

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Q: Calculate the double integral. 3ху2 11 3xV²_ DA, R = {(x, y) 10 ≤ x ≤ 3, -2 ≤ y ≤ 2} d R + 1

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Q: Find (3x + 4y)dA where R is the parallelogram with vertices (0,0), (-1,4), (-4,-2), and (-5,2). R…

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Q: (b) Which one of the following differential equations can be solved using the substitution approach?…

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Q: Find the equation of the tangent line to the curvey = 4 sina at the point (¹²). The equation of this…

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Q: Evaluate • 622 dV where G is bounded by r+ 2y + 4z = 8 in the first octam

A: Given problem:- Evaluate ∫∫∫G 6z2 dv where G bounded by x+2y+4z=8 In the first octant

Q: Evaluation. Find the antiderivative of the following exponential expression. Show complete solution.…

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Q: (c) f cos³ 4tdt

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Q: Q.16) Using the method of partial fractions. + b)-1 Q.17) The general term of the sequence 4,-4-is…

A: This question is related to partial fraction and sequence, we will solve it using given information.…

Q: II ex elx е ех его

A: Given

Q: The marginal cost function for a commodity is given by C'(x) = x² + 2x + 1 where is the number of…

A:

Q: Q.8) A series Ek-13k+5 100 is : a) Converge by comparison test Converge by alternating test b)…

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Q: y sin(xy)dady csc²0d0dr ze-² drdydz (a) T/2 (5) [72² 1/2 π/2 ©fff (c) Jo Jo Jo

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Q: Q.24) cos(sin Q.25) f sin6x sin5x dx = a)(sinx-1)+c costix of(cosx +1)+c 11 +c simila b) (sinx+1 11…

A: 25 To solve; The integral ∫sin6xsin5xdx Formulae used: Trigonometric identity:…

Q: √4x+4-√√5x+1 x-3 k B) 1 CO Q18) if f(x)= 2 700 116 D)- 1*3 point A) and if f(x) is continuous…

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Q: Solve each triangle. Round answers to t 11) 10 21° A B A) m/B= 69°, a = 3.8, c= 10.7 B) m/B= 69°, a=…

A: According to Bartleby guidelines we are supposed to do only one question. If you want more to be…

Q: H.W: Find the center of mass of a solid of constant density & bounded below by the disk R: x² + y²…

A: We need o find center of mass.

Q: Evaluate *cos (lnx) [ cool! doc

A: Evaluate: ∫coslnxxdx

Q: Evaluate the integral So So -8 e dady by reversing the order of integration.

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim X-6 - (8 - 1—² x )…

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Q: Find the values of xER for which the function given below is both defined and continuous. f(x) = +3…

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Q: Find the value of c for which the area enclosed by the curves y = c - x² and y = x² − c is equal to…

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Q: 2. Evaluate the double integrals by iteration. whre B is the region 0 ≤ x ≤ 1, ² ≤ y ≤ = d.A

A: Let's evaluate given double integral.

Q: 5) S RIN A) 2 √5 В) Зл dx the correct solution of this integral is:-

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Q: Find two unit vectors parallel to each of the following vectors: a) [-8, 2] b) [9, -3, -5] c) 57 -…

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Q: Find dy dx 2. y tan-¹(csch x³)

A: Given y=tan-1 (csch  x3 )

Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? 4 f(x) =…

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Q: Given f(x) = 3√x, find f'(x) using the limit definition of the derivative, f(x +h)-f(x) f'(x) = lim…

A: Given the expression for the derivative of the function is: f'x=limh→0fx+h-fxh And fx=3x

Q: State whether the following series is Convergent or Divergent. n! n=1 Convergent O Divergent

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Q: 3. Evaluate III. 62² dV where G is bounded by x + 2y + 4z = 8 in the first octant.

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Q: ? Question Calculate * (z3y + 1) y2 dy dr.

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Q: B. Solve the following differential Equations y" - y' = 4x³ + 6x²

A: The given differential equation is  y'''-y'=4x3+6x2

Q: Q.22) The integral x-3 dx is convergent if the values of p are: a) (-0,3) b) (-∞, -2) c) (3,00) d)…

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Q: ? Question Classify the critical points of h(x, y) = x²y + xy² + x³y² + xy³ found in the previous…

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