Use the graphs of f and g to evaluate the function. y=f(x) y=g(x) Exercise (a) (fog)(3) Step 1 Note that (fog)(3) = f(g(3)). Determine g(3) from the graph of g and substitute. f(g(3)) =

Q: Problem 10. Find the interval where f is increasing or decreasing, and find the loca maximum and…

A: Given problem:- Find the interval where f is increasing or decreasing, and find the local maximum…

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A: Given IVP y''-5y'=f(t)  , y(0)=1 , y'(0)=-1L(f(t))=8s-4-4s+1

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Q: A ball is thrown straight down from the top of a 482-foot building with an initial velocity of -15…

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Q: The total charge in an electrical circuit as a function of time is given by q = t 1+t² Find the…

A: Given:        q=t1+t2,C        q=t·1+t2-1 The derivative of this expression is      dqdt=ddtt·1+t2-1…

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Q: 1) In medieval times there were 10,000 people living in a city that was struck by a plague so that…

A: This is a problem related to differential equation. based on the general formula of decay law we…

Q: Q3/ Find the IVP for the differential equation. x²y" - 3xy² + 68y=0, that satisfies the -зху!…

A: Follow the procedure given below.

Q: Test the convergence and divergence of the following series, find the sum of convergent series.…

A: The given series is ∑n=1∞3n51-n

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Q: Consider the series + ++4+2+.... Does the series converge or diverge? Select answers from the…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y…

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Q: Which of the following integrals would yield the area of the region below? 2 x=y 3 1 0 x = 8y 00 8

A: A detailed solution is given below.

Q: 1505 152 maxa 081 din 3a. Find the coordinates of the relative maximum and relative minimum of the…

A: Solve the following

Q: Numerical Response #4: A close who will get to ride to grad in an girls in the limo then there are

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Q: Let y = 3x² + 8x + 3. Find the differential dy when x = Find the differential dy when x = 2 and da 2…

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Q: Determine whether the differential equation (7x² − 2xy + 2) dx + (4y² − x² + 7) dy = 0 is exact. If…

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Q: 21 Зл 18. If sin = and ≤0<- then tane is equal to: and s 29 2 2 21 A. tan 8 = = 21 20 B. tan 0 = --…

A: Given, sin(∅)=2129 , π2&lt;∅&lt;3π2

Q: For f (x) = x2 −2x + 5, find its derivative by using the formal (limit) definition of the derivative

A: We have to find derivative using definition

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Q: Numerical Response #2: Bonnie is investigating the polynomial function P(x) = ax + bx³ + cx² +dx+e…

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Q: Using rectangles each of whose height is given by the value of the function at the midpoint of the…

A: Here we need to estimate the area under the curve using two and four rectangles.

Q: Q5) Evaluate the following integrals: 1. ƒ (1+√3)³ d -dx √x 2.JxỏeXdx 3.f (x+3) dx 2x³-8x

A: Since you have posted multiple questions. As per guidelines, we"ll solve only first part. If you…

Q: Q2g If DF(x) = f(x+h)-f(x) for fixed h then find sh (ex-)) = ?

A: We have to find the △h(e2x-1).

Q: Mark on an Argand diagram the points representing the following numbers: (a) 2 (b) 3i (c)-i (d) 1+2i…

A: Plotting the given complex number in argand plane

Q: Obtain the particular solution 1. (D³ +6D² + 12D + 8)y=0 when x = 0, y = 1, y'= -2, y" = 2 2. y" +…

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Q: Which x-value is most useful in approximating 25.01? 26 16 27 25

A: Given, 25.013

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A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: (4) 1. (4) 2. Find the equation of the line that passes through the points (6,8) and (2,20). Give…

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Q: P show that (α) |=1 = 12/

A: A detailed solution is given below.

Q: B) Find all of the second derivatives for f(x, y) = (3xy² + 2xy + x²) Ins

A: To find all of the second derivatives for fx, y=3xy2+2xy+x2 ln1x2+y2.

Q: 3. (8x³ + 6x²5x +11) dx

A: integration

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A: Given , Length of ladder is 6m Let height of ladder on wall is x m, and base length of ladder from…

Q: 3- show that the diff. equ. is homogeneous and Salve it (2x+34) dx +(y-x)dy = 0

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Q: Cameron invested $2,890 for 225 days at a simple interest rate of 3.75% p.a. How much more or less…

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Q: Q.2A) Evaluation: If Z = x.n.f (*), then show that: x. z₁+y. Zy = z

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Q: Additional Activities What function will you differentiate to get each function? 2. f(x) = 8x74x³ +…

A: Let differentiation of F(x) leads to the function f(x)=8x7-4x3+2x-3 So, F'(x)=f(x)=8x7-4x3+2x-3

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A: This question can be solved using the concept of differential equation.

Q: a. Show that f has a removable discontinuity at x = 3. f(x) = x²7x+12 x + 2 x = 3 b. Redefine f(3)…

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Q: Prove the trigonometric identity. tanzcot z sec² z CSC Z CUSZ Drag an expression to each box to…

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Q: A kite 100 ft above the ground moves horizontally at a speed of 5 ft/s. At what rate is the angle…

A: This question can be solved using the concept of rate of change of quantities.