sinx cos x-1 Use the trigonometric limits lim 1 and/or lim = 0 to evaluate the following limit. x-0 X x-0 tan 7x lim sin 5x

Q: Find the exact value of the expression. cot

A: Cot(x)= Cos(x)/Sin(x)

Q: sin 2y dx - 3x--cos 2y dy = 0 by separation of variables. Solve the differential equation A xe - 3 c...

A:

Q: 2w2+9w+1 -dw is the same as w +4 5 dw w+4 A 2w +1+ 2w – 1- 3 dw B w+4 2w +1– 3 dw w+4 67 dw w+4 (D) ...

A: We have to choose the correct answer from the given options according to the given information

Q: Obtain the derivative of the following functions: a2 + x3 + 2y = y² 10. Solve for the derivative of ...

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Q: Using the substitution y = vx and dy = v dx+ x dv, the differential equation with homogeneous coeffi...

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Q: sin-- In?| 4+ tan-'cos- dx 2 1+ cos 4+ tan-'cos- In| 4+ tan-'cos- dx 2 2sin- 2 A | 4+ tan-!cos÷ 2 1+...

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Q: 2w2+9w+1 dw is the same as w+4 2w +1+ dw w+4 B w+4 Mp MP 67 2w +17- W+ 4 None

A: We want to find correct answer from the given options. 

Q: Suppose that over a certain region of space the electrical potential V is given by the following equ...

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Q: In the indefinite integral J 3x²e* dx, the integrand is A 3r © 3x2 D x³+C B.

A: The given integral,    ∫3x2ex3dx

Q: x + sinx dx. Evaluate: 2x- cos/x (A + C 2 2x+ cos/x B + C 2 © x-2cos/x + C x +2cosx+ C E None of the...

A: Let √x=t then solve it. 

Q: –2x x- -dx x2+e-2r A (x-e-2r) x²+e-2x xp- B -2 (х—е -2) x²+e-2x xp- e -2r dx x²+e-2r x²+e -2x D E) N...

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Q: SIn°(Ine*) dx

A:

Q: Assessment 1: The function is discontinuous at the number. Does the discontinuity appear to be remov...

A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub- par...

Q: secytany In dy, the integrand is 4secy +9 4.secy + 9 A True B) False

A: Integration

Q: dx 5+ x2

A:

Q: A body moves on a coordinate line such that it has a position s= f(t) = ? - 7t + 6 on the interval 0...

A: Given , S =f(t)=t2-7t+6 and interval 0≤t≤6 Formula: Average velocity =[ f(b)-f(a)]/(b-a)

Q: Question 21 Evaluate: J(3x + 1) d. S(3x+1)°d_

A: ∫3x+12dx

Q: If Mesin(2x) dx = eSin(2M) + C, then the M is equal to Blank 1 (use small letter, no space) Blank 1 ...

A:

Q: cose Evaluate the integral: de. 4- sin?e A None of the given choices -sn(글sne)+c В © sin (ano)-c sin...

A:

Q: e+y dA ,Where D={(x,y)||x| + lyl < 1}.

A: According to our guidelines , we can answer only first question. Kindly re-post other remaining ques...

Q: A storage box with a square base must have a volume of 80 cubic centimeters. The top and bottom cost...

A: If f(x y) is a function of two variables. Then  for fx(x y)=0 ......(1) and        fy(x y)=0 ..........

Q: sinx 3. f(x)=(x)'

A: Given: f(x)=xsin xTo find the first derivative of the given function Formula: (uv)'=uv'+vu'ddx(sinx)...

Q: -2x X-e -2x x+e * 2(x-e-2*) A -2x xp- x²+e¯ -2(x-e-2*) B x²+e =² -2x -2x e dx -2x x²+e-2r x²+e=2« D ...

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Q: Solve the differential equation (xy² + x – 2y + 3)dx + (x²y – 2x – 2y)dy = 0 -

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Q: Express the following sum in closed form. 6 +4. n k=1 k Hint: Start by multiplying out 6+4. n Note: ...

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Q: To evaluate the integral expression sin -"(Vx )dv, using simple substitution dv=f(x)dx. Determine th...

A: Please see the below picture for detailed solution. 

Q: curves

A: Please refer to the image below

Q: Obtain a differential equation by eliminating the arbitrary constant m of: y=m A (V)² + xy' +y = 0 B...

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Q: 5e2*dx 9ex – 6e2* + 1 (A 3e 2x B 3e2x – 2 (©) 3e2x – 1 D 9e 4* – 6e2* + 1 E None

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Q: Which of the following integration expression can be transformed into integral of power Ju"du), (Cho...

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Q: Question 4 cose Evaluate the integral: de. V4- sin?e @ sn (ana) -c © -sn* (sin) + c -an (ane) • c No...

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Q: (x +2x+3)(5-x) 10. g(x)= 3x+2

A: We will use u/v formula for derivative to find the required result.

Q: Vil 12 sin (x) cos' (x)dx by using walli's formula. 27. a is equal to? A.1 B.O C.1/10 D.pi/2 The def...

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Q: If two functions F & G are both antiderivatives of the function f, the F (x) =G (x). (A) True (B) Fa...

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Q: tan - 15i sech(ekan-151) dt Evaluate: T+2512 A 2 tan ,tan -15t +C 5 B -tan -le tun -Ist 5 -151 +C C)...

A: Integration

Q: Read each of the two statements carefully. Choose A(if both statements are true), B(if the 1st state...

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Q: V. 49+x2 16. F(b) is equal to? 28-7pi A. 7pi-28 B. 4 4. 17. F(a) is equal to? 28-7pi A. 4. 7pi-28 B....

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Q: dw 4 Which of the following characterizes the differential equation +v= 0? A 2nd order, 4th degree O...

A:

Q: In each graph, a parent function has undergone a transformation of the form f(kx). Determine the equ...

A: We need to find the equation of transformed graph red using the graph of parent function green.

Q: An equation containing derivatives or differentials is called a/an A differential equation B exponen...

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Q: x2- Vx +1 When you evaluate dx. The sum of the coefficient of X" for any constant n> 0 is o (use num...

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Q: In order to evaluate the integral expression sin using simple substitution, dv =f (x)dx_ Determine t...

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Q: Evaluate the integral: cose de. 4- sin?e ® sn- (ane) + c A sin-1 B -sin- sin- + C (c) -sin-1 sine+ C...

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Q: -dx (use 2 decimal places, no space) 5+x Let * = 3.89, and y = 3.07. Determine the value of C when y...

A: We will first evaluate the indefinite integral. Then we will put the value of y = 3.07 when x = 3.89...

Q: Find the Maclaurin Series of tan-(x2) at x = 0.25

A: First we find Maclaurin series of taninverse x then replace x by x2 

Q: (3x3 - 5xex + 2xcos(x) te:

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

Q: The population of Amoeba Proteus is known to grow at a rate proportional to the amount present in a ...

A: Given problem:- The population of Amoeba Proteus is known to grow at a rate proportional to the amou...

Q: F. Planes and Lines O Find an equatin The plane each of whose paints idistant to The agu w eq point ...

A: Here ,              We have given two points which are               equidistant from each points of...

Q: Suppose that fis)-\,P(G)=3,965 ond a'5)=8. Find the fllowing voiure

A: We have to find the derivative

Q: sin³ydy 1+ cosy A 1+ cosy B 1- cosy (c) siny D sin³y (E) None

A: