1 An initial deposit of $1200 earns 10% interest, compounded monthly. How much will be in the account in 3- 2 years? TIP Due Mon 09/26/2022 11:59 pm Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172 Enter DNE for Does Not Exist, oo for Infinity NI

Q: f²(x) x-2x³-f(x)* 2. Suppose that limf(x) = 5. Compute lim x-2

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Q: Find the length of the curve. 1 6 10.³ y= + 2≤x≤4

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Q: 6 y = 5x + 6 Use the graphing tool to graph the line. Use the slope and y-intercept when drawing the…

A: The standard form of line equation is  y=mx+c  where  m= slope=6/5 c= y intercept=6

Q: Finding the Average Value of a Function 51. f(x) = 9x², [-3,3]

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Q: Graph the function. y = (x+4)³ +4 ... Use the graphing tool to graph the equation. Click to enlarge…

A: We have to sketch graph of the function y = (x + 4)3 + 4

Q: √2142 dr = || +C

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Q: Find the equation of the line tangent to the graph of f(x) = x² - 4x + 3 at x = 1. Provide your…

A: we need to find the equation of tangent line.

Q: Find the volume of the solid obtained by rotating about the x-axis the region enclosed by the curves…

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Q: Assume that f(x) is a one-to-one function. a) If f(8) = 3, then f-¹(3) = b) If f¹(-7)=-6, then f(-6)

A: For a one-to-one function, If f(x)=y then f-1(y)=x

Q: If sin x = - 5 (Matching problem) Answer: 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. ✓sin (2x) cos (x) V ✓cos (2…

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Q: S4 (1+4/2) ² dr dx iv. S₁

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Q: Given f(x) = 4√x – 3, find f'(x) using the limit definition of the derivative. f'(x)=

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Q: c) h(x) = h ¹(x) = 19 x + 4 d) j(x)=√x + 11 j¹(x) =

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Q: 1. Find and sketch the domains of the functions f(x,y) 1 In(4- x² - y²) 1 and g(x, y) 1 √x + y² = 4

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Q: Use the substitution a = 2 sec t to evaluate the integral - dz

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Q: C = {1,2,4,6} B = {3,5,7,9} 9 A = {1,2,4,6} f = {(1,3), (2,5), (4,7), (6,9)} g = {(5,6), (3,2),…

A: Given 1. A=1,2,4,6, B=3,5,7,9 and C=1,2,4,6 2. f:A→B and g:B→C 3. f=1,3,2,5,4,7,6,9 and…

Q: Solve the Bernoulli differential equation: x(dy/dx) + y = y²x²Inx O-1/(xy) = C + x(1 - Inx) O 1/(xy)…

A: First order differential equation :           Consider the differential equation              dydx…

Q: (a) Find formulas for f and g such that (b) Find formulas for f and g such that f(x) lim x→∞ g(x)…

A: Please see the below picture for detailed solution.

Q: Find the domain and range of function and show your solution thanks.

A: Domain of a function y=f(x) is the set of values of x for which y is defined.   Range of a function…

Q: Given that f(x) h(-1) = 5 h'(−1) = 8, x¹²h(x) calculate f'(-1).

A: f(x)=x12h(x)

Q: Find the limits. f(x) = 2x² 3x + 15, g(x)=√x + 3 (a) lim_ f(x) = X-3 (b) lim g(x) = X→ 24 (c)…

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Q: rounded

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Q: Evaluate the integral of (3x²+9y²)dxdy if the interior limits has an upper limit of y and a lower…

A: Evaluate the integral of (3x²+9y²)dxdy if the interior limits has an upper limit of y and a lower…

Q: Find the general solution (x² +1) 4x + 3xy = 67

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Q: c) Now suppose that a > 6. In this case, simplify the following expression so that it does not…

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Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing…

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Q: Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the total…

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Q: Consider the system 0 [9 -4a-1 -b-3 1-8a -26-6 a. Given that b-3, for which value of the parameter a…

A: Here we have to use the concept of system of linear equations.  I have appended the formula used in…

Q: 2 (4-X) ² 36 What is the Solution Set?

A: Topic- Quadratic equation we are given, (4-x)2=36 and we need to find the values of x, which satisfy…

Q: In each of the following, eliminate the arbitrary constants. 1. x³ 3x²y = c

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Q: Evaluate the following: ☺ if f(x-j) = 2x²_x²-2x²+x find the value of f ( 7 ). 4

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Q: y = (-x² + 6x-4)5 dy dx || ? Choose the correct answer for Question 4: * 5(-x²+6x-4)4(-2x+6)…

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Q: If f(x)= 2 sec (4x), find f’(x) and f’(2) Plz explain step by step

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Q: Evaluate the integral: dx (x - 9) (x + 8) = +C

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Q: Solve each AABC. Give angle measures to the nearest tenth of a degree and side lengths to three…

A: 7) Given:     a=8, b=7 , c=13

Q: (a) Let f(x) = (x + 5)4, z 20. Find a formula for f-¹(x) Answer: (b) For what values of x is f¹…

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Q: Find the domain and range for the absolute value function f(x) graphed below. Then determine where…

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Q: 1 [³ [2x+¹ dz dx =

A: See this solution in below.

Q: Consider the following functions. 2 X x²1¹9(x)= x + 1 f(x) Find (f + g)(x). = + Find the domain of…

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Q: Use the formula below to find the slope of the tangent line to the curve at the given x-value. √x at…

A: Slope of the Tangent line (m)=1/4

Q: For what values of a and b is the line -15x + y = b tangent to the curve y = ax5 when x = 1 ? a = |…

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Q: Find the polar form for zw, z/w and 1/2 where: z = 2(1 + i), w = 3(1+√3i)

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Q: Find the differential equations of the following family of curves.

A: The cardioid equation in polar form is given by   r=a(1+cosθ)

Q: 8. Find the position function r(t) given that ā (t) = (-1,-1, -1) and (0) = (-5, -5,5) and 7(0) = 0.

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Q: Consider the function f(x)=x²+x and the point (1, 2). (a) Find the slope of the tangent to the graph…

A: Slope of a function y=f(x) at a point (a,b) is given by y'=f'(x)x=a=f'(a)ANd equation of tangent at…

Q: EXAMPLE 5 Where is the function f(x) = |x-1| differentiable?

A: Given, Where the function f(x) = |x - 1| is differentiable.

Q: Directions: Determine whether the given first expression is the solution of the succeeding given…

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

Q: As a car ages, its value decreases. The value of a particular car with an original purchase price of…

A: we need to answer the questions from the given function

Q: Find k such that the line is tangent to the graph of the function. Function Line f(x) = k√x y = 2x +…

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Q: Consider the function f(t) = −t² + 3t. Find the average rate of change of f over the interval [4,4 +…

A: We can find the answer in the below steps.