Find a formula for the nth term of the sequence in terms of n. 5 52 53 54 12' 15' 18' 21' 24 1 for n21 = "e

Q: 1. Determine whether the following integrals converge. (a) 1 dx x3

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Q: 3x + 2 dx Vx + 1

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Q: Materm tvamare the inte aral:\

A: This question is based on indefinite integral.

Q: Find the value(s) of the constant k so that f(x)=kx2-5x+1 and g(x)=x2- kx -6 have the same critical…

A: A point x=a is said to be critical number of a function y=f(x) iff f'(a)=0

Q: Let p(x) be a cubic polynomial with p(7) 0 and p(14) < 0. What can you say about the number and…

A: In this question we have to find the number and locations of zeroes. Note: As per our policy we are…

Q: In cach of the following, write the matrix A as a product SDS, where D is a diagonal matrix. ( ) 10…

A: We have to diagnose the above matrix.

Q: The graph shown below is fx) = x + 1. What is the integral function g(t) that defines the area under…

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Q: 4. Find the equation of the tangent to h(x) = x´sin(2x) at x = 1 [no unit circle needed]

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Q: Calculate the fluid force F on the shaded side of the triangular plate submerged in fluid with mass…

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Q: Find the area of the region in the first quadrant bounded by the curves y = sin x, y = cos x and the…

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Q: Given the function graphed below, evaluate the definite integrals. 3. 2. 4 -2- -3 -4+ f(z)dz =…

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Q: . Find two vectors that are orthogonal to the plane containing the points P = (3,0,1), Q = (4, -2,1)…

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Q: Prove: le* a. ſ csch x = In - |+c lex+1

A: As per Bartleby guidelines rule I am answering only first question as Both question is not subpart…

Q: Question Select your answer. A ball is thrown vertically upward. Its height h feet after t seconds…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 6. Evaluate ds using the following methods. A. Trapezoidal Rule with n = 4. Round to 4 decimal…

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Q: Find dy for the following expressions: dx а) y = x5 In(3x) b) у %3D 2 cos + 2x3 3x2 + 7x + cos (x) y…

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Q: 3. 2 3. 4 7. To find the blue shaded area above, we would calculate: area Where: a = f(x) = %3D area…

A: Consider the given figure below :

Q: 3 cos(r)ln(1+ a*) + ® 3.8 COS( Evaluate da. 1+el76z 39.9 answer

A: In the given integration we can see that the limit of the integration is from x=3 to x=3  i.e. only…

Q: e^x + y)dx +(2 + X + ye^y)dy= 0 ,y(0)=1

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Q: Q5: (a) Let 1 A -1 0 2 and B = -1 2x2 3 2x2 Evaluate A×B (b) Find the inverse of: 1 0 0 0 A = 2 1 0…

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Q: Determine whether P = and Q = are orthogonal vectors. If W = and V =, compute V x W. If W = and V =,…

A: Explanation of the answer is as follows

Q: Hello, can you please solve the final answer using a right tringle? On there, we are instructed to…

A: After step 3: Line 9:  19-13sin3y+1siny+C We can use the triangle for subtitution.

Q: white the funetion in the form flx)- for the given value of K, and demon c flx)= r 2 flx)= x3-x-14x…

A: Given    q(x) is the quotient when F(x) is divided by x + 1 and r is the remainder.

Q: (X²y² + 1)dx +2x²dy =0 use the substitute xy=u

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Q: 29. Which of following is the equation of the tangent line to the curve y = 2x - x² at the point (…

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

Q: e length and breadth of the floor of a room are 30 ft. and 20 ft. pectively. Square tiles of 2 ft.…

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Q: Use vectors to show whether or not the points form the vertices of a parallelogram. (1, 1, 3), (4,…

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Q: 42) 2. 100 2. 3. 1.1 0100 1

A: Given data÷

Q: he vectoi the given maghitude and the same direction as u. Magnitude Direction ||v|| = 19 u = (0, 2,…

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Q: From a window 30 feet above the street, the angle of depression of the curb on the near side of the…

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Q: Q.3 Find general solution by separating the variables. i. y3 = (y* + 1) cos x dx. ii. y' = 3x²(y² +…

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Q: Determine if the system of linear equations is inconsistent or dependent x-y+3z=3 4x-8y+32z=25…

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Q: Q1. Evaluate the integrals below using the integral rules derived in Lectures 13-15. For each…

A: Follow next step

Q: The Maclaurin series for f(x) = x²e=* is E-o(-1)" xn+2 п! False True

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

Q: 2. * S arctan x dx 1 In(x²) + C C 1. x arctan x C A x arctan x -In(x² + 1) + C -- B 1 D x arctan x…

A: Solve the given integration

Q: Solve the following items and show your solutions. b.) Identify if the following functions are…

A: 4.

Q: Q4: Evaluate each of the following integrals: (a) | (4+ cos x)· sin x dx (Substitution)

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Q: 3 Given y = (1– V2x)°; Find dy/dx O dy :-3(1 – v22)? de O (E) None of the choices O dy 3(1 – V22)°…

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Q: 3. Scse*x dx

A: The objective of the question is evaluate the indefinite integral.

Q: Determine whether u and v are orthogonal, parallel, or neither. u =j + 8k v = i - 6j - k

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: ind the angle 0 between the vectors in radians and in degrees. (Round your answer for part (a) to…

A: Given problem:- u= 7i+j v=-6i+8j To find:- Angle between vectors in radian and degree

Q: A hollow cylindrical metallic pipe is open at both ends and its external diameter is 12 cm. If the…

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Q: E. Determine which equations are exact and not exact. Afterwards, solve for the equations that are…

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Q: =D1 || |

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

Q: Find the area of the region under the graph of f(x) = 2x² – 4x + 2 on [–2, 3].

A: Given  f(x) = 2x2-4x+2 The graph is

Q: dr Find if r sin[cos(-0)I. dr dr cos[sin(-0)] = sin 0 cos(cos 0) d0 d0 Option 3 Option 1 dr dr - sin…

A: The objective of the question is evaluate the derivative of the given function. Note -  As per our…

Q: x4

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Q: af Given f(x, y) = In(7x² + 9y²) then

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Q: dy Find for the following expressions: dx a) y = x5 In(3x)

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Q: Let there be the random vector Z E Rm Prove that E (||Z||*) = tr(E[ZZ"]) From the expression above,…

A: The answer is in step 2.