S (1/(X(Im)*) dx X(Inx)

Q: 1. Rules of LDef nite Integrals: 12 a) b) rpx 12 12 f(x)dr 4, find the If f(z)dr = 12, " $(z)dz = 6…

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Q: 6. Verify each of the following identities: cosx (a) 1-sinx secx + tanx 1 + 1-sinx 1 (b) 2sec?x =…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: Use part I of the Fundamental Theorem of Calculus to find each derivative, given the following f(x):…

A: On solving this we will get

Q: Q5) Find the integration by using (by part method): Se3x sin X dX

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Q: Evaluate the definite integral (10x + + 3)dr

A: topic- definite integral

Q: 9. S (6eº+1)/½ eo 10. |(1 + 2x)³ dx

A: We can solve as follows

Q: Find the general solution of the differential equation and check the result by differentiation. dy =…

A: The given differential equation,     dydt=16t7

Q: 2. S x²-6x-4 xp x+2

A: Given: I=∫x3-6x-4x+2dx As we know that; The Power rule: ∫xndx=xn+1n+1+C And ∫a·fxdx=a·∫fxdx

Q: Find the value of each of the six trigonometric functions of the angle 0 in the figure. V10 sin e =…

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Q: If fex) x2 f'co) 19+ t? dt find f'c3) %3D

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Q: Edit Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places…

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Q: 1) Find the first 8 terms of the recursive sequence. =-3 2,a

A: The given recursive sequence is;  an=an-1 - an-2.

Q: Suppose that w = f(r, s, t), where r = r(x, y), s = s(r, y), and t = t(x, y). Which of the following…

A: Solution is given below:

Q: B. Find the interval of convergence of the power series and find the sum of the series as a…

A: Series convergence

Q: 5. What is the general solution of the following differential ,d*y 6. equation 'dx+ d³y.od?y dx2 dx3

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Q: Evaluate csc2 3z dr cot 3r O 6cot 3xcsc3x + c O cot 3x + c Ocot 23xcsc3a + c cot 23x +c

A: Indefinite integration

Q: A. Identify the given differential equation as to the dependent variable, degree of the equation,…

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Q: The length of the curve determined by equations x = t² and y = t from t = 0 to t = 4 is %3D %3D %3D…

A: The objective of the question is determine the length of the curve.

Q: (1) fx sin x dx

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Q: 6x + k, x 4 such a k does not exist O 2 O 4 30 17

A: The given function,  f(x)=6x+k,x≤4kx2-6,x>4

Q: Determine the area of the gtven reglon. y = x + sin x Step 1 Note that for the given reglon, x…

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Q: Answer the question in FULL details. Show ALL your steps and work in your calculations. Answer in…

A: We need to solve differentiation problem.

Q: 4. If f(x) and g(x) are continuous on [a, b], which one of the following statements is true? [f{x)–…

A: Solution:

Q: Use the finite difference method to solve the system of equation given by: y'"' + 2y" + y' + y = x²…

A: Given :y'''+2y''+y'+y=x2                                   (i)y(0)=0.2, y(1)=0.8 & y(2)=0.2We…

Q: If y = x2 is expressed with parametric equations such that = 6 when x = 1, what is ? dt dx %3D dt

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Q: 49 x dx -7

A: answer is in next step

Q: Which substitution is needed to evaluate the integral S tan* x sec² x dx =? u = tan* x, du = sec? x…

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Q: Consider the initial-value problem y" + 4y = 5 sin 3t, y(0) = 0, y' (0) = 3. %3D (a) Use the Laplace…

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Q: 5. Evaluate the integral Vxdi +C 2/3 +C 1 +C 3x213 O None of these

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Q: Consider the following. 3x - y + z = 6 Sketch a graph of the plane.. y -6 y -4 2 y 4. 2 2. Label any…

A: Given :3x-y+z=6To find it's intercept

Q: Find f andf, and evaluate each at the given point. y' f(x, y) (6, -6) = arctan f,(6, -6) = (6, -6) =

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Q: We have found that the partiaular solution of the height function is s(t) = -4.9t + v(0)t + 3 and…

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Q: 2x 3x Evaluate the given limit of lim + if it exists. I – 1 I +1

A: Follow the procedure given below.

Q: Remember that we are looking for the value of the initial velocity, v(0), if the maximum height is…

A: topic- equations

Q: r(t) = (tan(5t))i+t cos(t)j – Vtk

A: Given: rt=tan-15ti+tcostj-tk

Q: Identify the given differential equation as to the dependent variable, degree of equation, whether…

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Q: 8 of 22 If č = (-3, –5) and d = (-2, –6), find |47 – 2.5d|. V74 O 8/6 O 7/5 146

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Q: What is the instantaneous slope of y == at z = 5?

A: for the instantaneous  slope for a function f(x) at x=a we have to find f'(x) and then put x=a in…

Q: chain rule to find given w = x² + 2y² + z² and x = cos (st), y = -2s lnt an 3s2 Vt.

A: We have to find out derivative

Q: Find V x (V × F) if F(x,y, z) = 8xyj+ 4xyz k. V × (V × F) = (4(y+2), 4:x, 0)

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Q: 10 10 If f (x) dx=17 and f (x) dx=12, then f (x) dx=5 . 8. (A) True (B) False

A: To determine whether the given statement is true or false.

Q: Find the sum by adding each term together. Use the summatlon capabilitles of a graphing utility to…

A: we have to find sum.

Q: Determine if the following function is continuous or discontinuous at x = 0? 4z +5 f(2) = %3D 9- 32

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Q: A cylinder (round can) has a circular base and a circular top with vertical sides in between. Let rr…

A: Given ,  A cylinder (round can) has a circular base and a circular top with vertical sides in…

Q: 34. Which of the following is solvable directly by power rule of antiderivative? A. [xe"dx B. Ssin*…

A: Which of the following is solvable directly by power rule of antiderivative?

Q: Problem 2: Given a function 4x-1 f(x) = 2x +1 Use tabular method to determine if the limit of a…

A: we make chart of the values of x and the value of f(x) to see trend toward the limit…

Q: Use sigma notation to wrte the sum. 7n Σ

A: Solve the following

Q: 3. Use chain rule to find given w = Vx2 +2y2 + z² and a cos (st), y = -2s In t ane 2 = 3s?Vt. 3s2Vt.

A: Follow the procedure given below.

Q: 5x3+4x2-5 dx

A: Use power rule integration technique

Q: Let v=f(x) be a solution of the first order linear differential equation y'=y-10x² such that f(0)…

A: