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A: Given :6. y2e2x+xy3-1=07. xey+3y-10x=0To find: Implicit differentiation to the derivative y'.  

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

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A: The given function is f(x)=2x2+4if x<-56x2+2if -5≤x<42x+90if x≥4 Since polynomial functions ar...

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Q: (a) Find the slope, m, of the tangent to the curve y = 9 + 5x2 - 2x at the point where x = a. m = (b...

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Q: Evaluate the following: 1. S(6x² – 4x + 1) dx

A: As we know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And ∫c·fx...

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A: The given differential equation,      dydx=e4x+7y

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Q: What is the general solution to the differential equation 2e* cot(y) dx – (4 + e*) csc²)dy = 0 ? (4 ...

A: Here, the given DE is: 2excot(y)dx-(4+ex)csc2(y)dy=0

Q: Find all the maximum and minimum points of f(x) = x4 – 8x2.

A: As we are not given any particular, we will take the help of the graph here.

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Q: 21. Determine the general antiderivative of f(x) = 4x 4x4 + 9 2x2 a. 2 cosh +C 3 22 + C c. 2 sinh¯ -...

A: As per our guideline we are supposed to be answer only one question you can repost other question in...

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Q: 1. Given f(x)= (a) Show that f'(x)= 2(x² -16) 3x by using the quotient rule. Hence, find all 11 the ...

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Q: dt dx 3. 6x – x² 4. sin xV1 XN Cos xdx 3x 5. 1-2e3*) 6. dx

A: We solve only 4th question.  Let 1-cos(x) =t 

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A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the remain...

Q: t (s) 0 0.2 0.4 0.60.8 1 s (ft) 00.45 1.5 3.8 6.59.6 Find the average velocity over the interval 0 <...

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Q: 39. If z = 5x² + y² and (x, y) changes from (1, 2) to (1.05, 2.1), compare the values of Az and dz.

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Q: Find an equation of the tangent line to the graph of y = g(x) at x = 6 if g(6) = -5 and g'(6) = 3. (...

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the functi...

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Q: Find the gradient of f (x,y,z) = e^(x+y) cos(z) + (y+1)tan^(-1) (x) at the pint (0,0, pi/6) Alternat...

A: The function is given by fx, y, z = ex+ycosz+y+1tan-1x The point is x, y, z = 0, 0, π6 To evaluate: ...

Q: А. О- бу+1) dy y-3 (у?- 6у+1) dy

A: As per our guidelines we are supposed to answer only one question i.e. the question no (A). For the ...

Q: Find the indicated nth derivative of the following functions: 4. 2nd derivative of y = x5e-3lnx ans....

A: Topic -  derivative 

Q: Use technology to evaluate the given expression. Take 1.5 7.9 1.4 -2.32 5.4 and B = 5.8 0 A = \ 44.4...

A: A=1.4-2.325.444.4012.8AT=1.444.4-2.3205.412.8B=1.57.95.805.46.94.2B=4.2×1.54.2×7.94.2×5.84.2×04.2×5....

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Q: 1 Evaluate each of the following limits, then identify any vertical asymptotes of the function f(x) ...

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Q: INTEGRAL Evaluate the following: e 20do 10. ↑ 1+ 3e20

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (– 1)k+12 Σ 00...

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Q: Determine the area of the region enclosed by x=12y^2−3 and y=x−1

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Q: csc 0 tan 0 dr – (r csc 0 + tan² 0) d0 = 0 -

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