Find all the values of x such that the given series would converge. (x-8)" 8n n=1 The series is convergent From x = 0 x = , left end included (enter Y or N): right end included (enter Y or N):

Q: 2: Solve the following integrals: - 7x² +14x+15 (x²+3)(x+7) dx ; 1) S

A: Given: ∫7x2+14x+15x2+3x+7dx

Q: Q1: Answer two only (A): Solve the following linear equations by Cramer's rule: x+y+2z=1 2x-y-z=0 x…

A: Find determinant of coefficient Matrix  Then find delta x ,delta y, delta z

Q: Q3 :(A): By using "L' Hopital rules "; Find the limits of : (2) limx-o x-³ (tan-¹x - x)

A:

Q: Q3 (A): By using "L' Hopital rales "; Find the limits of: (1) limal; (2) Itm X(tan-¹x-x)

A: I have solved step by step in detail...go through the solution

Q: Evaluate the following limit. sin xy + cos xy 2y lim (x,y) →(0,)

A: The objective is to evaluate the limit.

Q: Compute u v if u and v are unit vectors and the angle between them is R|4

A: we know that u.v =uvcosθfor unit vector u=v=1given θ=π4

Q: Q2: Solve the following integrals: (3) √ √dx dx (4) fxe* dx

A:

Q: Q5: Find for the following functions: dx (4) y = x sinh 2x-cosh 2x (3) y = e* sin² x In√x

A: See this solution in below

Q: The velocity function the time interval [-3,5]. article moving along a line. Find the displacement…

A:

Q: (B): Find the tangent equation to the curve y = sin² x at point x =

A: I have stated the used formulas in the solution.

Q: Suppose that a particle moves along a straight line with velocity v(t) = 10 - 1t, where 0 ≤ t ≤ 5.5…

A: Given: v(t)=10 -t, 0≤t≤5.5

Q: what about part (b) please.

A:

Q: Q2: Solve the following integrals: (1) f 7x²+14x+15 (x²+3)(x+7) 02 dx ; u nein!! sin x+cos x (2) […

A: We have to calculate the given indefinite integral according to the given information

Q: Let f(x) = 6x√√x + f'(x) = -∞0 8

A:

Q: Solve the following differential equations: (1+x²) (dy-dx)=2xy dx

A:

Q: Use the substitution u = 3x²-2 to find the following indefinite integral. Check your answer by…

A: We need to find integral.

Q: | dx X æ /æ2+100

A:

Q: Q2/A Cylindrical tank with radius of (3 m) and height of (10 m) has initially filled with water. In…

A: Please see the below picture for detailed solution.

Q: Find its length over the given interval. (Round your answer to four decimal places.) (No Response)

A:

Q: Compute the curl of the following vector field. F = (4x²-3y²,5xy,5z)

A: We have to find out solution

Q: The position vector r describes the path of an object moving in space. Find the velocity v(t), speed…

A: To find v(t) ,s(t) and a(t) for the given position vector r(t).

Q: Q2/ A. Find the following limits. Answer four only. i. ii. iii. iv. V. lim x1 x-1 4x-x² lim X-4…

A: To evaluate the limit.

Q: f(x) = x+2-e² Use the initial estimate x1 = 0.5: *1 = 0.5 x2 = I3 = C4 = I5 = I6 = 27 = Submit…

A: To find he root of the equation using newton method

Q: The following table shows the daily receipts in millions of dollars of the movie "Avatar" for…

A: Consider the points 19,0.633,21,0.335,23,0.12,25,0.064 and 27,0.044. Find the Average rate of change…

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) xy - 25 lim (x, y) → (5, 5)…

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Q: An experiment was conducted to determine the effects of elapsed time on a person's memory. Subjects…

A: We have to find the average percent recall after 1 hour, the expression for the rate of change in…

Q: Let g(x) = = f(1) dt, where f is the function whose graph is shown below. At what value of x does…

A: Given: gx = ∫0xftdt Using Leibniz integral rule, we get g'x = ddxxfx -  ddx0f0 g'x = fx

Q: At least one of the answers above is NOT correct. where a 9 and b = 7 1³h 10x² - [ 1(a) dx = f* f(x)…

A:

Q: Solve the initial value problem y" — 2y' — 15y = 0, y(0) = a, y'(0) = −9. Find a so that the…

A: Given: y''-2y'-15y=0, y(0)=α, y'(0)=-9

Q: Use substitution to evaluate the definite integral given below. 1² (Enter an exact answer.) Provide…

A:

Q: 3. y = 2x² is a solution for which differential equation? 2y - y = 0 xy' - y = 0 2y'- y"=0 - y' -…

A: Given :y=2x2

Q: a. For the function and point below, find f'(a). b. Determine an equation of the line tangent to the…

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Q: At least one of the answers above is NOT correct. The velocity function is v(t) -t² + 4t - 3 for a…

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Q: 8 If f(x) = 3 + = + x 6 x2 find f'(x). Find f'(4). Round to 3 decimal places if necessary.

A: Given that f(x)=3+8x+6x2-(i)Our Aim is to find f'(x) and f'(4).

Q: FIND: hf(x)dx 2 g(x) dx = = f₁₁ f(x) dx = = if g(x) is an odd function. if f(x) is an odd function.

A: We need to find integral.

Q: 900mL of lactated ringers is infusing at a rate of 42gtt/min.  The drop factor is 60gtt/mL.  How…

A:

Q: √ grams/cm² and occupies Find the mass and the center of mass of the lamina with density 8(x, y)=-…

A:

Q: [ 81e-9 sin 9xdx

A: Please see the below picture for detailed solution.

Q: Question 5 Test the series below for convergence using the Root Test. 5)₁ ∞ n=1 f(n): 3n 6n + 5 The…

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Q: Given that 2 ≤ f(x) ≤ 4 for 4 ≤ x ≤ 5, estimate the value of 5 0³/ [ f(x)dx 5 [²₁ <5 f(x)dx

A: Given 2≤f(x)≤44≤x≤5To find range of∫45f(x)dx

Q: Q3 :(A): By using "L' Hopital rules "; Find the limits of : (1) limx-ol: 1-cos x sin²x (2) lim, o…

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Q: 61. A "bead" is formed by removing a cylinder of radius r from the center of a sphere of radius R…

A:

Q: The curves y = 2x - x 2 and y = 3x2 - 6x are used to form the boundary of a thin plate of uniform…

A:

Q: Q3/ A. For the following function f(x). Find: i. iii. f(x) = x² + 1 The slope of the f(x) by using…

A: We need to find out the slope using the definition.

Q: Use Green's Theorem to evaluate the following line integral. Assume the curve is oriented…

A: Please see the below picture for detailed solution.

Q: Find the lengths of the sides of an isosceles triangle with a given perimeter if its area is to be…

A: Solution is given below:

Q: 2 Find the average rate of change of the function f(x) = x² + 7x from x₁ = 4 to x₂ = 5. The average…

A: Use average rate formula

Q: Consider the following situation, which involves two options. Determine which option is less…

A:

Q: Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = 3 cos(t)i…

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Q: (B): If A = 2i + 3j - 4k; B = 3i - 4j + 5k and C = i + j - k, find: (ii)B.C (iii)A. (B+C)and (A+B).C…

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