(1-x)y' = y²

Q: If f(x) = x + 7 and g(x) = x2 - 2, find the following: a. f(g(0)) b.g(f(0

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Q: Let f(x)=3x+5f(x)=3x+5 and g(x)=4x2+2xg(x)=4x2+2x. After simplifying, (f∘g)(x)=

A: We can find the composition of the function.

Q: Q5/ A: Solve the following differential equation by Laplace : dy d²y dx² , dx = −6, y(0) = 3 dx 4y=…

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Q: 5. S sin(3 ln x) X dx

A: Need to find out the integration.

Q: In the following exercises, compute the antiderivative using appropriate substitutions, and state…

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Q: Find the solution to the given (y+x³y³)dx+xdy = 0₁

A: y+x3y3dx+xdy=0

Q: Q5/ A: Solve the following differential equation by Laplace : dy - 4y = 16 t =-6, y(0) = 3 dx² dy dx

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Q: Find the derivative of f(x)= (428 + 22-1) ⁹.

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Q: Use a calculator to estimate the valuse of the limits correct to two decimal places lim h - 0…

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Q: A = 2001 810 -536

A: We know that if det(A) =0 then matrix A is not invertible, Given A=200810-536

Q: Evaluate the piecewise defined function at the indicated values. if x≤6 6x-3 if x>6 f(x) = 0 - {²x-3…

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Q: sec² (In x) cos(lnx) x S dx

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Q: Suppose that lim f(x) = 13 and lim g(x) = -8. Find the following limits. X-7 X-7 a. lim [f(x)g(x)]…

A: Suppose that limx→7 fx=13, and limx→7 gx=-8. To find the following limits.a limx→7 fxgx b limx→7…

Q: The graph of a population P(t) of squirrels is shown. Identify the discontinuities of P. t = P 30 29…

A: We have given graph of population P(t) of squirrels. From given graph  discontinuities of P is given…

Q: Find the length of the curve x = П √√4 sec²t-1 dt, on-sys 6 The length of the curve x = A y A П =√√4…

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Q: Q1- Find all the second-order partial derivatives of the function: f(x, y) = sinxy

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Q: Determine f'(a) for a = 2.5, 4, 7. 5 4 L 3 2-1 2 1 2 3 4 5 6 7 8 9 (Give exact answers. Use symbolic…

A: Given

Q: evaluate the determinant, given that a b de c e f h i 9 '|| -6

A: We know that if all element of any row is added to the corresponding element of any other row then…

Q: Find the a. 3yx² + y² = k b. 3yx² - 3y³ = k 3yx² - y² = k solution of the DE y' c. d. yx² - y³ = k…

A: The given differential equation is  y'=2xy/y2-x2

Q: Consider the graph of  (10 − x)y2 = x3. Find the slope of the graph at the given point.

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Q: If f(x) 4x + 2 3x + 3 find:

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Q: lim 8个8 5x 2x² +9

A: To find the limit of given function.

Q: The function s(t) describes the position of a particle moving along a coordinate line, where s is in…

A: We have to use a concept of differentiation. According to our guideline we are supposed to answer…

Q: Find the derivative of the function. 2(5x² + 6x) 73√√x y' = y =

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Q: Eliminate A and B from the relation y = Ae²+ Bxe²x

A: We are given  y = Ae2x + Bxe2x      y = (A+Bx) e2x     ... @ we have to eliminate A and B from @…

Q: Find the 53th The answer is function derivative of the function f(x) = cos(x).

A:

Q: 6. Sketch and label the graph of a function that describes the given situation. Pick variables for…

A: a. In this case, the population size of warthogs cannot go above 512 warthogs, so, the given…

Q: A mass on a spring bounces up and down in simple harmonic motion, modeled by the function s(t) 2…

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Q: Find the slope of the graph of the equation at the given point. (If an answer is undefined, enter…

A: Our Aim is to find the slope of the graph of the equation xy-3y2=8-(i) at the given point (14,4)

Q: Part I: Directions: Complete the table below. EQUATION CENTER 1. C(0,0) 6. 4. x² + y² = 64 x² + y² -…

A: From given table

Q: 3. Given the function f(x) = (x²-1)/(x-1), determine if the function is continuous or not for all…

A: Given :fx=x2-1x-1

Q: Given: (x is number of items) Demand function: d(x) = 921.6 - 0.6x² Supply function: s(x) = 0.3x²

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Q: 7. S X e dx - X et + 4e¯x

A: As we know from the exponent rule: xaxb=xa-b And the common integral is: ∫1ax+bdx=1alnax+b+C   The…

Q: ) = (x + 3) can be expressed in the form f(g(x)) where f(x)

A: We have to find the function g(x) according to the given information

Q: Let f(x) x - Complete the table below. Round all table values to four decimal places, if necessary.…

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Q: 2. (1 + 3/2x − 1)² = 3 + √3/2x − 1

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Q: 4 1 82

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Q: Slope of tangent line F(x)= 3x+8

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Q: 5. 2w² - 5w+ 11 = 0 6. 7q²-3q + 1 = 0

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Q: Solve the problem. The population P of elephants in a wild animal preserve changes with time (in…

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Q: The equation of motion of a particle is s= t3 - 27t, where s is in meters and it is in seconds.…

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Q: ) If the matrix A= [4 2 1; 1 5 9; 3 8 7], find: · A' - A(3,1) - size(A) - A(:,2)= [] Inv(A)

A: Given that A=[4 2 1; 1 5 9; 3 8 7] To find in MatLab: A'=? inv(A)=? size(A)=? A(:,2)=[]

Q: Investigate the asymptotic behavior of ?(?)=4?2?2+1 numerically, computing the values of the…

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Q: Sketch the level curves of g(x, y) 1- y² x² where k € {-1,0, 1}

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Q: X x + 5 Give exact answers (not decimal approximations). Let f(x) = Find the values of where f'(x) =…

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Q: (dz) dt If (z=x. y), where x = cos (t) and y = sin (t) Q3. Use the chain rule method to find

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Q: a coordinate line, where s is in feet and t is in seconds. s(t)= t³-15t², t20 (a) Find the velocity…

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost…

Q: in step one is it f(n) or f(x) i cant tell your hand writing

A: To write down that it is f(x) or f(n).

Q: 16. The y''' of the curve y = v ax

A: We know, ddxxn=nxn-1, for any real number n.

Q: Inverse mutual funds, sometime referred to as “bear market” or “short” funds, seek to deliver the…

A: A total amount of $9,000 was invested with equal amounts in RYURX and RYIHX and the year-to-date…