1. How many terms are in the binomial expansion of (x + y²)14? correct number of terms)

Q: 5) sin-1-1

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Q: Use sigma notation to write the sum of the given equation

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Q: What is the antiderivative of the integrand dx ? 2e*

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Q: 2. 2) tan- 1 4) sin- 6) tan-1 V3 -1 01_ V3 10) sin -1 2. 12) tan-! 3.

A:

Q: Given that lim f(x) = - 2 and lim g(x) = 3, find the following limit. X3 X-3 lim [7f(x) + g(x)] X-3 ...

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Q: Given that 7(1 + h) – 7(1) = (h - 1 + cos(h), e" -e-", In(2h + 1)) for all h where -. a 7'(1 : (inpu...

A: We will use the definition of derivative to find r'(1) as shown below

Q: logndy +y 2ndogn |

A:

Q: Find the linearization of the function f (x) = x at x = 1. a lal sin (a) L (x) Using this linearliza...

A:

Q: 2. ' 2'

A: ab /ac =ab-c 

Q: 4а — 2b — Зс + d — 3 2а - 2b — 5с %3D — 10 || 4а + b + 2c +d — 17 За + с + d — 12

A:

Q: Evaluate the integral. Give an exact answer. V2/2 7x2 dx = [Ans] 1-x2 Show your work separately and ...

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Q: V3 13) tan 3.

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Q: 5. Find the volume of the solid obtained by rotating the region bounded by y= - ,x=2, and y = 0 abou...

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Q: Using drawings and detailed explanations for each, explain the three conditions for continuity at a ...

A: Here is the solution of the given problem: 

Q: Determine the equation of the curve whose tangent line at any point (x, y) is e*- cos x and passes t...

A: The curve whose tangent line at any point x,y is ex-cos x and passes through 0,4

Q: what relationship should be present between two vectors for the law of cosines and sines to be used ...

A: a) for cosine law, the two vectors should have an angle between them. We should know any three eleme...

Q: On which interval does the function f(x) = (x+ 5)/(x-1) discontinuous? О а. [0, 2] O b. [-1,0] Ос. (...

A: Note: As per our company guidelines we are supposed to answer first three questions only. Kindly ask...

Q: 2. Consider M(x, y) + N(x,y) · = 0. (a) Suppose we can find a function F example of such an equation...

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Q: Find the exact cause of each expression

A: To find the exact values of the given expressions.

Q: Find the General Solution y' = 1+3ytanx

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Q: f (x) dx=6, f (x) dx=2, and f (x) dx= - 3, find f (x) dx. If А) -3 в) -4 с) з

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Q: the temperature (in F) at point (x,y)(measured in miles) is given by  T(x,y)=80-x4 +2x2 y-y2 How f...

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Q: A plane flying horizontally at an altitude of 1 mi and a speed of 540 mi/h passes directly over a ra...

A: Solved below

Q: Calculate y' and y" for y = x°e². (Simplify answer.)

A:

Q: 7. Consider the region above the x-axis and below y = e-ª with x > 1, shown below. 1 4 Consider a wi...

A: The solution are next step....and please like this solution..and any doubts then please ask me 

Q: Using calculus, find the absolute maximum and absolute minimum of the function f (z) = 5x - 20x +1 o...

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 2x -1 Evaluate the given function S dx 2X+3 a.+In[3 + e2*] +C b.- In[3 + e2*] + C 3 3 --+In[3 + e2*]...

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Q: q7

A: We will solve the Differential equation. 

Q: et + e-* 4. Find the area of the surface generated when the function y = on the 2 interval [0, 1] is...

A:

Q: e*dx e2x +1

A: We know that; ∫axdx=axlna+C And ddxcot-1x=-11+x2   Given: I=∫7cot-1exexdxe2x+1   ....1

Q: The reaction of the body to a dose of medicine can sometimes be represented by an equation of the fo...

A: Given: R=M2C2-M3

Q: Find the equation of the curve for which y" = x, and which passes through the point (1, 2) with a sl...

A: NOTE: Refresh your page if you can't see any equations. . take integration  ...............(1)

Q: Given the differential equation d?y 12. + 4y = 0 di? Determine the Characteristic Equation for the g...

A: We have to find characteristics equation

Q: ´In²sinx In the expression dx , the integrand is tanx

A:

Q: For what values of x is the following geometric series convergent? (7 — Зx) + (7 — 3x) + (7 — Зх)' +...

A: We have to find out

Q: Find the equation of the tangent line T(x) to the graph of the given function at the indicated point...

A: Given, y= 2x/(x-1) By differentiating we get the slope of tangent.  

Q: given

A: We will solve the integration. 

Q: A bus travelling at 66 along a straight, level road decelerates at a constant rate of 22 sec when th...

A: From the first equation of motion       v=u+at   .....(1)  , where u is the initial velocity ,v is t...

Q: Evaluate the iterated integral. dx dy dy = (Type an integer or a simplified fraction.)

A: To evaluate:∫17∫0414x3ydxdy

Q: 1 x-1, 2 x 0 Is f(x) continuous at x = -4? O a. Yes, the limit from the left-hand and right-hand sid...

A: Check the countinuity of the function at x=-4 .

Q: 3 0 1] 0 2 1 5 2- Find A. A-1 if the matrix A is given by: A =| 0

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Q: Let R be the region in the first quadrant bounded by the graph of y = 2 cos (), the line y = , and t...

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Q: Find the limit of lim 7+8x+9x4 x4

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Q: Evaluate the integral by u-substitution. (Use C for the constant of integration.) Integral of Sin3(...

A: Given : Integral ∫Sin3(x) cos(x) dx   To find : Evaluate the integral by u-substitution?

Q: sec?xdx Evaluate the given function ſ 1-4tanx

A: put 1 - 4 tan x = t , differentiating with respect to x      d/dx(1 - 4 tan x) = dt/dx      d/dx(1) ...

Q: A rectangular garden will be placed adjacent to a building. It will be enclosed by wooden fences usi...

A: Given query is to find the correct statement for the situation.

Q: l+ cost = ip- cot²tdt 1- cost (A) True B) False

A: From formula Cos θ = 2 Cos2(θ/2) -1   Cos θ = 1 - 2 Sin2(θ/2) (1+ Cos t)/(1-Cos t) =(1+2Cos2(t/2)-1)...

Q: 6x² – 2x +5 dx? What is 2x + 1

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Q: 1. 13 – 3x8 dx

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: lim, 5 f(x) = 2, what is the value of 2 lim, 5[f(x)]° ? О а. 6 O b. 12 c. О с. 8 O d. 16

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