(30.4) Apply the ratio or root test and state whether the series is convergent (2n)! n=1 or divergent.

Q: In(5x2 + 8) Find the slope of f (x) at (7, 1.84). Use a graphing utility and round to the nearest…

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Q: y 20 y=g(x) 10 20 35 Evaluate each integral by interpreting it in terms of areas. 10 (a) g(x) dx 30…

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Q: solve the exponential equation by using the property that b^x= b^y implies x=y, for b>0 and b≠1.…

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Q: 14. Which of the situations below could – 100(+7)? A plane, currently flying at an alti A plane,…

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Q: Money deposited in a fund triples every 8 years. If the bank compounds the interest continuously,…

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Q: Evaluate the following integral using the method of partial fraction. (2х3-3х?) dx a. 2x2-7x+5

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Q: Find cos (z+2) dx. O-sin (x + 2) +C O sin (x4 + 2) +C O sin (x* + 2) +C sin (2* +2) +C

A: Let's find.

Q: The graph of a function f(x) is shown below. If the definite integral | f(2)dz gives the area of the…

A: Given query is to find the area under the curve.

Q: For a general graph of a function x = g(y) that may go to the left and the right of the y-axis,…

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Q: Find two unit vectors in 2-space that make an angle of 45° with 10i + 3j. NOTE: Enter the exact…

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Q: 11) The Inverse of ()= *-1* a)(x) 3x-1 b)/(x) log2(x) d)f(x)= log3(Vx+1) e) non

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Q: Evaluate the limit. (Use symbolic notation and fractions where needed.) 14/3 lim + 7t/3 (3123 + 13)²

A: Given query is to find the value of the limit.

Q: [p'(8+3p*)®dp

A: Given: I=∫p78+3p48dp  ...1   The Power rule: ∫xndx=xn+1n+1+C

Q: Find the directional derivative of f(x, y) at P(5,0) in the %3D x + y direction of Q(3, –3). NOTE:…

A: f(x,y)=20x+y

Q: 3. Find all possible functions with the given derivative y' =- 2

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Q: 6- (3, 4) (0,3). (3, 2) (-2, 1); (3,0) :3 2 4 Find the limit lim f(x) b. lim f(x) lim f(x) а. с. T-2

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Q: Evaluate the limit. (Use symbolic notation and fractions where needed.) tan(4x) lim x-0 3x

A: Let's find.

Q: 4x2 [cos (2)* 1. lim X→+00 Find the limit using L'Hopital's Rule

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Q: Find the vector component of v = 2i -j+ 3k along b = 3i + 6j + 6k and the vector component of v…

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Q: •1 x²(1+3x³)³ dx.

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Q: S sin x In(cos x) dx

A: Given problem:- ∫ sin(x) ln(cos(x) dx

Q: dy x(x+ 1) Solve and find the particular solution when y(1) = 3 %3D dr

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Q: 10 2. f(x) dæ y=f(x) А1 АЗ 3 5 A2 A4 7 10 (figure is NOT to scale) the area of region Al is 6 • the…

A: Given query is to find the value of the indicated integral.

Q: Billy savings account is currently $200 overdrawn. Billy plans on depositing $75 each week for the…

A: It is given that Billy savings account is currently $200 overdrawn and he plans on depositing $75…

Q: Find the directional derivative of f at P in the direction of a. f (x, y) = 7 tan-1 Р(-8, 8); а —…

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Q: dx 24. Integrate: J Ve-2x-1 А. Sec 1ex + C В. Sec-1e С. -Sec 1e* +с + C D. –Sec-le-* + C dx 25.…

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Q: find the parametric equations of the line through (-3,0,2) that is parallel to 3i-4j+k. x(t)= y(t)=…

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Q: Consider the points A(3, –3,2), B(4, –5,0), C(-1, –4,0), and D(6, 2, –3). (a) Find the volume of the…

A: Let a, c,d are position vector of point A,B,C,D…

Q: Solve the given problems. 1. Determine the distance i to the center of mass of the homogeneous rod…

A: Solution: y2 = x2  y=x32 y'=32x12

Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is…

A: We will use the given formula of volume to find the volume of the tetrahedron.

Q: sin 3x 22. Integrate: JS dx V25-cos² 3x A. -sin-1 (os*) + C 'cos3x' (cos 3x` C. -sin *) + C 15 B.…

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Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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Q: [x² In x dx

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Q: Test your understanding. Write TRUE on the space provided if the statement is correct and FALSE if…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find the vector component of v = 2i – j+ 3k along b = i+ 4j + 8k and the vector component of v…

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Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(8,…

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Q: Solve the polynomial equation by using the root method, and check the solutions graphically. 3x3 -…

A: Explained below

Q: Find the exact value of the limit using L'Hopital's Rule, make sure to talk about all indeterminate…

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Q: dy = x and find the particular solution when y(0) = dx Solve y? %3D

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Q: ind the directional derivative of f at P in the direction of a. r, y) = 5x°y°; P(3, 1); a = 4 i – 3…

A: Given query is to find the direction derivative.

Q: Suppose the graph y = f(x) lies entirely above the r-axis. Which of the following gives the %3D…

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Q: Suppose the graph y f(x) lies entirely above the a-axis. Which of the following gives the %3D…

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Q: Find an equation of the plane that passes through the point P(5, 6, 2) and has the vector n = (1,7,…

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Q: Express the limit as a definite integral on the given interval. lim > x; In(2 + x;2) Ax, [2, 5] n-…

A: The solution is given below

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-8,-6)…

A: Let's find.

Q: 7. Integrate: S sec? (n²x)dx A. 2n tan n² + C В. x sec2 п2 + С C.금tan(T2x) + C D. x sec nx + C 8.…

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Q: Suppose f( – 1) =7, f'(– 1) = 4 , and g(x) = r°f(x). The tangent line to g(r) at z = 1 is given by Y…

A: Given: gx=x3fx, f-1=7, f'-1=4   The expression for the equation of the tangent line is: y-y0=mx-x0…

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i +j and i – 14j as…

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Q: Evaluate the indefinite integral. x° (x® + 1)1/2 dæ Integral = INOTE: Remember to enter all…

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Q: |P(Vi + VE – t) dt

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