Given: sing = -, e is a third quadrant angle, and tand = -, bis a second-quadrant angle; find sin(e+d) -8/25 44/125 -20/21

Q: Given the function f"(x) = (x – 4)²(x + 7)³ (x + 3), what conclusion can be drawn directly from the ...

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Q: B. (P +Q+R+M+ N) u= V4 - Vw +1 du Pw + Qw² +3 +R/w +1 u" or dw? 9u" (w +1)"

A: Given

Q: Evaluate using substitution techniques

A: Given

Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. an = 51/n (Use s...

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: Find the general solution usinh linear or bernoulli’s equation: θdr + (2r +1 - θr) dθ= 0

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Q: What trigonometric substitution will you use in solving the below integral? Note: Let W be the angle...

A: Put 8x=15tanw =[12×(15/8)³tan³w]/[5×15√1+tan²w] =(79.10/75)×(sin³w/cos³w)/[sec²w] =1.05sin³w/cos²w

Q: ds using the trapezoidal rule and Simpson's rule. Determine Evaluate The value of -ds is (Round to f...

A: Topic:-  integration   

Q: The integral -8 sin(x) cos(x) dx can be evaluated in four different ways: (1) The substitution u cos...

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Q: SvX (n x dx

A: Let I=∫xlnx2dxApply integration by part.I=lnx2∫xdx-∫∫xdxddx(ln(x))2dx I=lnx2x12+112+1-∫x12+112+12ln(...

Q: 16 Evaluate the integral: x² /x² + 49 (A) Which trig substitution is correct for this integral? O x ...

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Q: y2)dx = xdy when X2 ; Y- 3

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Q: Use the trapezoidal rule with n = 5 to approximate %3D 5 cos(x) -d.x 1 Keep at least 2 decimal place...

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Q: Sse sech²xtanh²x dx 2.

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Q: 1. Let R be a relation on the set A = {1,2,3,4,5,6,7,8} defined by aRb if and only if 2a/b?. That is...

A: Range of R = {y: x,y∈R}. Inverse Relation : R-1 ={y,x: x,y∈R}.

Q: — 3 6 -4х + 10у 2x – 5y = 3

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Q: dw V5-e-2w

A: Given,           ∫dw5-e-2w

Q: Question Select your answer. If f(x) = cos z, and g(x) = 5 f(2), does lim g(x) always No, because f(...

A: Given problem:- if f(x)=cosx and g(x)=5-f(x) does limx→cg(x) always exist for any real number c?why?

Q: 3. Given r(t) et sin t i + e' cos tj + v2e'k, a) find the arc length function for the curve measured...

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Q: Graph of f 8. 7. 6. 5. 3. -10 -9 -8 7 -6 -5 -4 -3 -2 -1 3 4 5 8. 10 -1 -2 -3 -4 -5 -6 -8- 6.

A: Solution

Q: The function f is shown below. What is the value of f(x) dæ? Write your answer in simplest form. Gra...

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Q: Question 15 15. The first derivative of the logarithmic function f(x)= In (e +3) is 1 A e +3 B e +3 ...

A: Topic:- application of derivatives

Q: S(2y + 3)?/ y+ 2 dy

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Q: 4. Vic and Joey argue about the limit of the function f(x)=1/x as x approaches 0. Joey's opinion is ...

A: Claim of Vic is correct, because as per the definition of limit  By evaluating the left hand limit w...

Q: sinº – cos? –dx 2 2

A: We have to find the integral of the above function.

Q: 8. Find the limit, if it exists, or show that it does not exist: 2х-у a) lim (x,y)→(1,2) 4x²-y2 ху+у...

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Q: Integration by trigonometric integrals/substitution: (4-3 cos (x)) sin²(x)dx

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Q: e"; xo = 6

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Q: (d) dx a + x (e) 1 da J (a + x)2

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Q: Using IMPLICIT DIFFERENTIATION, find y'. 2ху + 3y y = 4x' – 5x'y Ах'у? + Вху + Сху - 24y? y'= Dx°y² ...

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Q: Vx dx 1+ Vx

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Q: Consider how to use a 10x10 percent grid to solve a percent - whole - part problem. Briefly explain ...

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

Q: What trigonometric substitution will you use in solving the below integral? Note: Let W be the angle...

A: We will evaluate this integral as shown below

Q: 16 Evaluate the integral: x² /x² + 49 (A) Which trig substitution is correct for this integral? Ox =...

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Q: Find the derivative of fcx) = en (sinh Cx)) 5

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Q: cos“ I dr 4 sin* I

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Q: 22. Find the required derivatives. a) y = (4x3 - 2x + 1)-2; find y b) x = Vy? + 1;find x"

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Q: 3. x/1+x° 1 dx (use trigonometric substitution)

A: sec2θ -tan2θ =1 ∫cosec(θ) dθ = 12lncos θ-1cos θ+1+C

Q: If x= (5,-1,2), y=(1,-1,1) then x × y is

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Q: х*+ 4x2-9х-36 3. у %3 4x2+28х+48

A: First we simplyfy then taking derivative. 

Q: 1. 4x° sec .3 x dx cos Va dx Væ csc Va x2 -dr 2.

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Q: Use logarithmic differentiation to find the derivative of the function y = 7x"(#), where r (x) = 8x ...

A: Logarithmic differentiation means taking logaritm first then take derivativea(x)=b(x)c(x) then for d...

Q: Find the Maclaurin polynomials of orders n = 0,1,2,3, and 4, and then find the nth Maclaurin polynom...

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Q: dx 9x2 - 12x-5

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Q: Express the composition W (x) in the form f • g • h. W (x) = - 7 х — 7

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Q: use Substitution method to Schve (3メ -2Y +1)dx -(X-2Y-3)dy=o

A: Given:   3x-2y+1dx-x-2y-3dy=0

Q: why we useltn@) inATOA tor) (sec 1 tan 0 sin 0 cos 0 A(1, 0) Pr FIGURE 2.30 The figure for the proof...

A: We know that  Tan(x) =sin(x)/cos(x)        

Q: Simplify sin e cos e tan e 1 tan?0 sececote

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Q: A microwave transmitter emits electromag- netic waves of a single wavelength. The maxi- mum electric...

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Q: What is a singular solution? Give an example.

A: Singular solution of the differential equation is the solution which can not be obtained from the ge...