Let f(x) = 9x² and g(x)=9√√x. Find each composite function and describe the domain of the resulting functio a. fog c. fof b. g of d. gog

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A: To simplify the expression sinh⁡(4ln⁡(3x)),We can use the properties of hyperbolic trigonometric…

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Q: To illustrate the Mean Value Theorem with a specific function, let's consider f(x)=x²-x, a = 0, b =…

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Q: (g) lim h(x) = = x-2- (j) lim j(x) = = x→2- (h) lim h(x) = x→2+ (k) lim_j(x) = x+2+ (i) lim h(x) x→2…

A: Note: As per our gguidelines, we can solve first three sub parts as your parts are not small. Please…

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Q: √x-5 x-25 25-r (c) lim

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Q: Suppose f(x) is defined as shown below. a. Use the continuity checklist to show that f is not…

A: F(x)=  x^2+4x, x>1           3x,x>_1

Q: 2 x-3 Find the slope of the secant line on the graph of f(x) for each interval: Let f(x) =

A: given function

Q: 5. Question 3 asked for two possible quadrant locations of the product of c + di and e-fi, where c,…

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Q: _y'(x) = y = (x³ + 2)²(x²+4)*

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Q: Consider the curve parametrized by x = t¹ + 1 and y = tổ + 4t5. dy a) Find dx dy dx in terms of t.…

A: Here we will find dy/dx on doing differentiation of x and y with respect to t,

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A: The given function is; f(x,y)=3x2-y2+4P( 1,3), Q( 6,8).

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Q: Find the tangential and normal components of the acceleration vector. r(t) = (3t – t³) i + 3t² j O…

A: Take derivative.Find the magnitude.

Q: 7 (32 -1) X - number. Determine & as a function of . Note: in this case & will be a function of ε.…

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Q: Consider f(x) = 8x³+7x² - 2x-11 and 3x + 5 8x + 3 What is f(g(x)) ? g(x) =

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Q: In Problems 13 and 14, determine by inspection at least one solution of the given differential…

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Q: Use a table of values to estimate the value of the limit. If you have a graphing device, use it to…

A: The given limit .The aim is to find the limit using the table of values.

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Q: Use the graph of the function f to decide whether the value of the given quantity exists. If it…

A: By the answering guidelines of Bartleby, we can answer only first three subparts, Please post other…

Q: Find the unit normal vector N to r(t) = (t, cos(t)) at t = 34. (Use symbolic notation and fractions…

A: Find the unit normal vector  to  at .

Q: Consider the following graph on the interval -90° < x < 630°: -60 2 60 120 180 240 300 360 420 480…

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Q: Mykala has deposited​ $5,000 in a bank for 6 years at the interest rate of​ 5% compounded annually.…

A: To calculate how much money Mykala will receive at the end of six years when she has deposited $5000…

Q: Evaluate the definite integral. 2 sinh 0 sinh 23x cosh 3x dx 2 S sinh ²3x cosh 3x dx = (Type an…

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Q: Let U = R be the universal set and A = [1,3], B = (-∞,6], C = (-4,0). a) AUB b) BnC c) A-C d) BC

A: Let  be the universal set and  Then we have to answer the following...

Q: Which of the following tests should be used to determine convergence or divergence of the series an…

A: The given series  ,here

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Q: Find the distance from the point (0,0,- 9) to the line x = t, y = - 3t, and z = t. The distance is…

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Q: 1 8. Find the values of x in (0,4) at which is not continuous. Determine the values of x in (0,4) at…

A: The graph is

Q: lim x1 x² - 4x + 3 x² - 6x + 5

A: L=limx→1x2−4x+3x2−6x+5

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Q: Define the gradient of a function of two variables and set the properties of the gradient. please…

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Q: Recall 1. Showing all your work, find the equation of the line with slope m = -4 that passes through…

A: “Since you have posted multiple questions with multiple sub-parts, we will provide the solution only…

Q: On your work paper, sketch the graph of a single function f that meets all of the following…

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Q: Find all vectors  v = that solve the given vector equation:  v ✕ i = 4j   A) v =   B) v = with a ∈…

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Q: Rewrite the following Cartesian equation as a polar equation using the variables r and 0. To input…

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Q: Consider the vector function r(t) = (6e²t)i + (5t sin(t) + 7)3 + (ln(8t + 1) − 4)k. dr -. Compute…

A: Concept:Putting the value of in the vector we will get the value of  Then putting this value in the…

Q: 6. Degree 4; zeros: 2 + i;

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Q: In Problems 23-26, verify that the indicated function is an explicit solution of the given…

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Q: Find a cartesian equation for the curve r² = 4. Equation Use your answer above to graph r² = 4. Y 4…

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Q: Step 2: Solve for Ay: Ay = f(x+ Ax)-y Ay = f(x + Ax)-f(x)

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Q: What value(s) of & are an appropriate choice when proving the following limit? lim (√-6x - -6)= = 0…

A: In this question, we will find the value of delts using epsilon-delta definition of limit.

Q: Jse logarithmic differentiation to find the derivative of the function y = x+8 cos(x) 8x8

A: To find the derivative of the function using logarithmic differentiation