Use a formula to express w as a function of tif w =s +1 and s =t- 6.

Q: How many independent variables does the function r(t) = ⟨ƒ(t), g(t), h(t)⟩ have?

A: Given that the functions f, g, and h, all depend on t. t is independent So there is only one…

Q: Find a function f and a positive number b such that f(t) dt t6 1+ 6x-3

A: To find a function f and a positive number b

Q: What is the range of the function f(x) = 23 sin 4z+1 ? A) (0, 0) в [금, 16] C [금, 4] D [2, 0)

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Q: O Find a, b to Continue The function ãt X=3 if x > 3 X = 3 ax+b flx) = 2a-b+1 bメーム+3 メく3

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Q: Use the function f(x)=x",x>0 to determine the bigger of the two numbers e' and a

A:

Q: f) S(2).

A: First Represent the f(x) in x to the power  form than take derivative.

Q: Find the linear approximation of the function f(x) = √1-x at a = 0 and use it to approximate the…

A: The linear approximation of the function y=1-x=fx at a=0 is given by y=f0+xf'0. First to find f'(x),…

Q: Consider the function f (z) = e²z.

A:

Q: Find a linear approximation to f(x) = 4xe2*-6 at x = 3. Use this linear proximation to estimate the…

A: To find Linear approximation

Q: dA Find the general form of the function that satisfies = - 7A. dt A(t) =| %3D

A: Given query is to find the general solution of the differential equation.

Q: Use a formula to express w as a function of t if w = s/s+4 and s = t2 + 2. w =

A:

Q: Find a formula for f (z) if f(z) = I+1 f '(z) =O ( )'(2) =D-

A: We will use concept of inverse function and differentiation of a function.

Q: Consider the function f(t) = 18√√t over the interval -8 < t ≤ 8.

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Q: Find a linear approximation of the function f(x) = V1+x at a = 0, and use it to approximate the…

A:

Q: Differentiate the following function. r(t) = (4t,8/i,

A: We have to find derivative

Q: Calculate the first three approximations x1, x2, x3 to a root of f (x) = x2 − 5 using the initial…

A: fx=x2-5,   x0=2 Differentiating with respect to x, we get f'x=2x Now,…

Q: Find a formula of the form  f(x) = Abx  using the given information. f(1) = 5, f(3) = 45.

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Q: Find the range of the function f : R R,f(x) = x² – 4x + 3. Select one: a. [-1, co0) b. (-∞, 1] U [3,…

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Q: (p²+1)² ; P € C\ {+i, -i}

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Q: Find the lengths of the functions of x over the given interval. 들+t from x=I tox=3 y = 1) 2) 4) 53…

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Q: Use the figure to determine the interval(s) on which the function isincreasing

A: Given: Figure of the function :

Q: Use a formula to express w as a function of t if

A:

Q: HW/ O Find a, b to Continue The function at *=3 if x > 3 X = 3 ax+b flx) = %3D 2a-b+1 bメーム+3 ×く3

A: Since you have posted multiple question in this question so i have answered first question as per…

Q: Use a formula to express w as a function of t if w - V4s + 5 and s- ef - 1.

A:

Q: Consider the function h : Nx N → Z given by h(n, m) = 2n² . m. What is the image of h? Prove your…

A: Introduction: A function has a domain and a range. The domain is the set of all input values of the…

Q: If f is an odd function, why is S, f(x) dx = 0?

A:

Q: Find the domain of Hi function fr w =J 2x+3 -1

A: It is given that the function fx=2x+3-1. Find the domain of the function. It known that the root of…

Q: Two runners start a race at the same time and finish in a tie after 5 minutes. Prove that at some…

A: Suppose gt and  ht be the positions of the first and second runners at the time t respectively.…

Q: Consider the function f(x, y) = e-x²-y² defined on the rectangle -2<xs 2, -1 <y < 1.

A: In this question, we find the absolute maxima and minima by using suggested steps.

Q: Use the formula to express w as a function of t if w= s/s+6 and s=t2+7 w=?

A: given :ω = ss+6   .... *s = t2+7

Q: Find a functionf and a real number a such that e + S¨ f(t)dt = x*e* а

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Q: Find a and b so that the function f(x) = S 4x – 7x² + 5, a -2 is both continuous and…

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Q: -Find a, b to Continu e The function ãt X=3 if x >3 ? X = 3 ax+b flx) = 2a-b+1 6x-a+3 X 3

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Q: Express the function F(x) g(x) = ||||| ✓cosa in the form fo g.

A: To express the function Fx=cos x in the form f∘g.

Q: consider the ff. function: f(x, y) = cot" "^ (1+x) - 2x + ³y 3y 2e

A: Given the function             f(x, y)=cot-1(1+x)-2ex+3y Where              x=s2+t2,  and…

Q: Find the first 3 iterates of the function f (x) = 3x when xo = 2? D 5, 6, 54 D 5, 15, 45 D 2, 6, 18…

A: To find The first 3 iterates of the function f(x)=3x at x0=2.

Q: Find a function ƒ and a real number a such that e+ S(t) dt = r*e".

A:

Q: Use a formula to express w as a function of t if w = s2 + 1 and s = t − 8.   W=

A:

Q: Find a function f and a positive number b_such that f(t) -dt = 6x-3 1+

A: Here we have to find the function f and a positive number b of the given integral.

Q: Describe the long run behavior of f(x) AS I→ ∞, f(x) → ? v As → ∞o, f(x) → ? ✓ || H 2³

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Q: Describe the long run behavior of f(1) = x2 As a - ? v 00, f(z) → As a 0o, f(æ) v? -> Check Answer

A: Given function is: f(x)=x2 To evaluate the limit of function at x→-∞ and x→∞. Draw the graph of…

Q: Use a formula to express w as a function of t if w = s2 + 1 and s = t − 2. w =

A: Explanation of the answer is as follows

Q: Differentiate the function. t(t? + 1)4 V2t – 1 g(t) = In 5

A: Given g(t)=lnt(t2+1)42t-15

Q: Use a formula to express w as a function of t if w = V 55 + 6 ands = e - 1.

A:

Q: Use a formula to express w as a function of t if w = s2 + 1 and s = t − 8.

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Q: a) Find the domain and range of the function f(r, y) = Vy – 4+ SUTM 1 UTM x2.

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Q: Use a formula to express w as a function of t if w = s +1 and s =t- 6.

A:

Q: Q3) Draw the following functions: (3-x, xS1 5, 1sxS0 2x,x >1 1)f(x) = EX 2)y = sec

A: We have piece wise defined function fx. we have to Draw the function by giving inputs x from defined…

Q: Find the domain of the function.

A: Given function - f(t) = t-13For this function to be defined, the parameters inside the cube root…

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.