y' + 3xeY = 0

Q: æ = 4;y = t-1»Y t² – 1|

A: Use the following derivative formulas:ddxxn=nxn-1ddxfxgx=ddxfxgx-ddxgxfxgx2ddx ( f(g(x) ) = f'…

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A: This is a problem of differentiation of the function. Based on the general formula we will solve the…

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Q: - ſ csc²e cot êī – 5 cot ê dê

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Q: COn 8 Question 12 dx is equivalent to what trigonometric expression when solved using trigonometric…

A: Question no. 13 is not visible proper ,you can repost again

Q: Derive the derivative function for secx and express your answer in product form.

A: ddx(secx)=ddx(1cosx)ddx(secx)=cos(x)ddx(1)-1ddx(cos(x))cos(x)2ddx(secx)=cos(x)0-1-sinxcos(x)2ddx(sec…

Q: A colony of bacteria starts with 2000 individuals. The colony is exposed to a new penicillin-type…

A: Find your answer below

Q: Perform each using the polar form of z. 1+iv3 2. (1+1)2 4.(1 – i)?(1+iv3) Final answer should be…

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Q: 2. The function g(x) is defined for -3 Sxs 3. The behaviour of g'(x) and g"(x) is given below. -3…

A: To answer the given question using the given tables of g'(x) and g''(x).

Q: 3x-4 1. Y= Arctan 4

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Q: Why do we use radians rather than degrees in Grade 12 math? You may use examples to explain your…

A: We use radians rather than degrees because of below reasons.

Q: y' + = 2x/y;;y(0) = 2 3. + 3x²y = 6x²; y(1) = -2 dx 4.

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Q: Find a point P on the line and a vector v parallel to the line by inspection. Enter the vector i as…

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Q: dy Solve the following differential equation: x+ y = 4x dx

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Q: 4 1 4. |x2ydxdy 2 0

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Q: f (x) = x³ – 23 6x + 1. | e sure to verify the c

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (8, 5)…

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Q: Just algebkaiçal fing the inverse function of f in formally VeRify that f(e10)) =x and

A: Here, to find the inverse of each function and then verify f-1(f(x))=f(f-1(x))=x

Q: F(x)=x+1/x Find the Point of inflection, All asymptotes and all local maximums and minimums?

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Q: Find parametric equations for the line whose vector equation is given (а) (г, у) — (6, —5) + t(1,…

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Q: ) of the plane and the line. (If an answer does not exist, enter DNE.) =2-5 10 plane. e nlane

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Q: 1. Fin d fx) for each of th FunCtions. 54ow your work,Gut you notneed to simplif y answer Sint PartA…

A: A)f(x)=sin xxusing quotient rule;f'uv=v u' -u v'v2u=sinx, v=xf'(x)=xddx(sinx)-sin(x)ddx(x)x2f'(x)=x…

Q: Here are three functions involving exponential functions: i) s(x) = = (e" – e*) $(x) iii) (x) = c(x)…

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

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Q: 5)Let f ( x ) =3x4 + 4x3 Find the derivative. b)Find the critical numbers.

A: Given problem:- 5)Let f ( x ) =3x4 + 4x3   a) Find the derivative.   b) Find the critical numbers.

Q: V10 x (Væ² +1 – Væ² – 1 d.x .2 - - V5 Vx4 – 1

A:

Q: Consider the following. u = (1, 2, -3), v= (5, -1, 0) (a) Find the projection of u onto v. (b) Find…

A: I have appended the formula used in the solution part

Q: Exact Equation Solution of (2xy -tany) dx + (x^2 - xsec^2 y) dy =0 Answer: x^2y−xtany=c

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Q: How does (2cos(theta))2 + (-2sin(theta))2 equal 4?

A: 2cosθ2+-2sinθ2=4cos2θ+4sin2θNext step:-

Q: Learning Task 2: Expand each function (using the appropriate technique/ formula). Compute the…

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Q: x * - 2 and g (x) = 10. Given f (x) = x - 1X = 1. Find 2x + 1 a) the domain of f (x) and the range…

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Q: ind the x and y intercept, symmetry, region/scope, asymptotes, critical points, point of inflection,…

A: Given: y=x4-6x2

Q: 4. y = tan¬1(3x) cos 1 4x 5. y =

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: Solution is here

Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

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Q: Consider the following planes. 3x + 2y - z = 42 x - 4y + 2z = 0 (a) Find the angle between the two…

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Q: -8 17 sine -15/17 -8/17 15/17 8/17

A: Given query is to find the measure of indicated angle.

Q: e2x -e-2x e2x+e-2x

A: Solving the problem by finding the second derivative.

Q: )Let f ( x ) =3x4 + 4x3 find the absolute extrema f(x) on (-2,1)

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Q: What is the reference angle of O if 0= -137°? A 43° B 47° C 137° D 223°

A: Given query is to find references angle.

Q: A silo consists of a right circular cylinder surmounted by a hemisphere. Find the most economical…

A: Given: A sillo consists of a right circular cylinder surmounted by a hemisphere. To find: The most…

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Q: 6)Let f ( x ) = x4 + x3 - 3x2 + 1 a)Find all the hypercritical values. b)Determine the intervals…

A: The given function is f(x) = x4+x3-3x2+1 ............................ (1) We have to a)Find all the…

Q: 10 Find the projection of u =-14 onto the -15 -4 -4 subspace W of R' spanned by -6 | and 6. 910 53…

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Q: x ) 10 (Vx² +1 – Vx²2 – 1 | dx Vx4 – 1

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: Given vectors a = (1,2),5= 2,-1), find 4a-35. (-2,-11) (2,-11) (-2,11) (2,11)

A: Given vectors are:- Vector a =<1,2> vector b =<2,-1> Find :- 4a-3b

Q: Determine whether the plane passes through each point. x + 2y – 3z - 1 = 0 (a) (-4, 1, –1) O Yes O…

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Q: dx + (x – y + 4)²dy = 0

A: