ak+1 If lim k→+∞ ak = 5, then ak diverges. k=1

Q: I'y" The expression log| z18 can be written in the form A log(x) + Blog(y) + C log(z) where A = B = ...

A: We can find the answer i.e the value of  A, B & c  as below.

Q: 343 | lim x → 7 x – 7 - O - 28 O 147 O 98 O – 147

A: Topic:-  limits and continuity  

Q: Find the shortest distance, d, from the point (6, 0, -4) to the plane x + y + z = 4.

A: The shortest distance of a point from a plane is said to be along the line perpendicular to the plan...

Q: Complete the following statements, if s(1) is a position or displacement function.

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-  parts for...

Q: Find the minimum and maximum of f(x, y, z) = y + 5z subject to two constraints, 2x + z = 4 and x² + ...

A:

Q: Which graph shows the function f (z) = tan z? 2- 0. 2x -1 12 4 3 2 -1 -2 Cunpy

A: Topic:- trigonometry   

Q: Find the centroid of the region shown, not by integration, but by locating the centroids of the rect...

A: This question can be solved by finding the area and centroid of rectangular part and right angled tr...

Q: Use a sum or different formula to find the exact value of cos285

A: sum formula cos(A+B)=cosAcosB-sinAsinBnow285=270+15A=270, B=15and we know that sin15=6-24 

Q: 15 1야 -5 10 /15 -20 -15 -10 20 -5 -10 -150 -20 lim f(x) x--5 -5 lim f(x) 10

A: Topic = limits

Q: The deviation of each observation (y) from the mean of the response variable is positive for every p...

A:

Q: 1. Find the second derivative of the function. 8(x) = 3\/x + e7*In(x)

A:

Q: Write an equation of an ellipse with center at (3,2), focus at (5,2), and vertex at (8,2). (x- 3)2 ,...

A:

Q: sin(2Tx) lim x → 6 x² – 36 -0.3333 T O 0.1667 ↑ O -0.1667 T O 0.3333 T

A:

Q: At a given instant the legs of a right triangle are 16 cm and 12 cm, respectively. The first leg dec...

A: Given: -The legs of a right triangle are 16cm and 12cm, respectively. The first leg decreases at 12c...

Q: 13. Find the solution set of e) 2x? – 3x – 4|<5

A: Given query is to find the solution of the expression.

Q: r(t) = ln(13 – t) i+ v9+tj- 3e¯t k t) = (

A: Given query is to find the derivative of the vector.

Q: A box with a square base and no top is to be made from a square piece of carboard by cutting 5 in. s...

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Q: 2 cos(3x) – 3 x2 – 2 sin(9x) – x2 – 9x - lim - (Use calculator and write your final answer in the gi...

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Q: Find dy/dx by implicit differentiation for tan-(r²y) = sin(²) + 3xy

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Q: 5. (2xye*³y + y²e*y² + 1)dx + (x²e*²y + 2xye*y² – 2y)dy = 0

A: Recall: If the equation Mdx+Ndy =0 is exact i.e,∂M∂y=∂N∂x , then the solution is                 ∫y ...

Q: If the relationship between Y and X is negative (as X increases Y decreases), then there are more po...

A: Here, the given relation between Y and X is negative that is as X increases Y decreases. One of the ...

Q: The figure to the right shows d 1 - sin x and y 4 1 sin x + 4° || 1 sin x? Find values 4 Which graph...

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Q: Time Interval [1, 2) [1, 1.5] [1, 1.1] [1, 1.01] [1, 1.001] Average Velocity | Complete the followin...

A: We will find the average and instantaneous velocity. 

Q: Find the​ curve's unit tangent vector.​ Also, find the length of the indicated portion of the curve.

A: Given that      r(t) = 6t3i + 2t3j + 3t3k  , 1&lt;=t&lt;=2 

Q: Find the area in the first quadrant that is inside the circle r = 4 sin 0 and outside the lemniscate...

A: We need to find area.   NOTE - As per our guidelines we can solve one question so please upload othe...

Q: For the next three questions, consider the differential equation: y" – 2y/ + y = e* arctan r If the ...

A:

Q: Solve dy Зу - 4х dx x-y – 2x = C 2x* + x-3 y = C 4 x-3y – 2x-2 = C 2x2 + xy = C -3

A:

Q: 1 V3 is a point on the unit circle that corresponds to t, If t is a real number and P = (x, y) = %3D...

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Q: 22+4x-5 Find the derivative: y = (3a2+1)4

A: Given Find derivative of y=x2+4x-53x2+14

Q: If f(x)=10sin(x)+3cos(x) , find a function g so that g"(x)=f(x) given that g(0)=0 and g(2)=12 . g(x)...

A: Given query is to find g(x).

Q: Let sk En(0.1)" n=1 Find s9.

A: Given that sk=∑ n=1k n (0.1)n -(i) Our Aim is to find s9=?

Q: 1. Verify that the infinite series diverges п a) E (2) 6 n=0 п b) E п+1 n=1

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Q: Use the Theorem of Pappus to find the volume of the given solid. The solid obtained by rotating the ...

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Q: Solve for x, y, z and w. (Enter your ansv x + y y + z 3 5 z + w 8 5 (x, y, z, w) =

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Q: Since January 1, 1960, the population of Slim Chance has been described by the formula P=37000(0.93)...

A: The objective is to find the rate at which the population changing on January 1, 1991.

Q: A child flies a kite at a height of 150 ft, the wind carrying the kite horizontally away from the ch...

A: Let's find. 

Q: What are the coordinates of the vertices of the hyperbola whose equation is given by 4y2 – x² = 4? A...

A: The given hyperbola equation,        4y2-x2=4

Q: You're studying anacondas in tropical South America, and you've decided that a particular environmen...

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Q: In the previous step we determined that [(t - 2)°] = 35t°(t' – 2)4. Use this to complete the derivat...

A: Given query is to find the derivative of the expression.

Q: ip dt + y* = tys (MULTIPLE CHOICE) Which of the following is(are) true about the equation (A) The di...

A: Given that Diffrancial equation t4dydt+y4=ty3Solution :t4dydt+y4=ty3dydt+y4t4=ty3t4dydt+yt4=yt3this ...

Q: Given: sin A= { and A is in the second quadrant; evaluate the following expression. cos 20 = %3D -7/...

A: cos2θ = 1-2sin2θ

Q: Question 1 - of 15 Step 1 of 1 00:26:06 Find the volume of the solid generated by revolving the regi...

A: Volume

Q: as, consider the different

A:

Q: Let us try to find where a function is increasing or decreasing given the  following.  1. f(x) = x3−...

A: To find the function is increasing or decreasing in the given interval.

Q: dx J (V32 + 4)3

A: To find:-

Q: A chemist has three different acid solutions. The first acid solution contains 25 % acid, the second...

A: We have to find quantity of each solution in liters.  

Q: Find the slope of the tangent to the curve y = 1/Vx at the point where x = a. Use the equation : f(a...

A: This question can be solved by applying the given formula with limit h approaches 0

Q: Given: sing e is a third quadrant angle, and tand -ả, dis a second-quadrant angle; find tan(+b) -1/3...

A: Trigonometry

Q: Identify the system as independent, inconsist analytical method 1. x+y=4 *ーy=6 2. x+y=8 2x + 2y = 16...

A: Since you have posted multiple questions i can do first three question as per our company guidelines...

Q: A point (5, - 1) on the terminal side of an angle 0 is given. Find the exact value of sec 0. 2/6 3/2...

A: