4. Non-calculator: Find a nonzero value for the constant k that makes f(x) continuous at x = 0: tan kx x < 0 f(x) = X 3x + 2k² for x ≥ 0

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Q: Prove the identity. (secx-1)² secx-1 tan²x secx + 1 Note that each Statement must be based on a Rule…

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Q: 8. If a square has a side length of 5, what is the area of the square? (A) 10 (B) 25 (C) 50 (D) 100…

A: As we know that; The expression for the area of the square; A=a2 Where a is the side length of the…

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Q: x³+1 1) Find the vertical, horizontal, and oblique asymptotes, if any, of f(x) = = x2-5x-14 Find a…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 2. Let f(x)=x²-3x+7. Answer the following: a) f(4) = c) f(1/2) = b) f(-3) = d) f(t+2) =

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 4- 3 2+ 1- -2- -3- Find T/2 Q The graph of the function f(x) = = tan x is given above for the…

A: The graph of the function fx=tan x, is given for the interval x∈0, 2π only.To determine the one…

Q: Use the binomial series to find the Maclaurin series for the function. 00 f(x) = Σ n = 0 f(x) = 1 (1…

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Q: Which of the following differential * equation is linear, first degree, order 2, and the dependent…

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

Q: Deposits of $850 per month are made into an investment account. The interest rate is 6.5% per annum…

A:

Q: x+1 x²-4 Find g(4), (ƒ · g)(2), ()(1), (g • ƒ)(1). Solution: 5. Given f(x) = x + 2, g(x) = =

A: Topic- Functions we are given f(x)=x+2,g(x)=x+1x2-4we need to find g(4),(f·g)(2),fg(1),(g∘f)(1)

Q: Suppose you have a $175 gift card for gas. You spend on average $24 per week for gas. a) Write a…

A: According to our guidelines, we can answer only the first problem or the first three subparts of a…

Q: Find the percent of increase or decrease to the nearest whole percent.  $8.00; $10.00

A: Percent of increase of a value= (new value - old value)*100/old value

Q: Find the DE of each of the following by eliminating arbitrary constants. Reduce your final answer in…

A: Concept: Differential equation: Any equation with one or more terms and one or more derivatives of…

Q: Shift the index to add the sums: 1.Σ,n-Lo(n+1)

A: Given expression, ∑n=1∞ n - ∑n=0∞ (n+1)

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Q: Which of the following differential equation is non linear, first degree, and the independent…

A: We need to choose correct option.

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Q: For #27, evaluate each limit or state the it does not exist 2. lim x²-3x x3x2-x-6 3. lim x²-3x…

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Q: Q15) The Parallel Postulate of Euclid is equivalent to: A) The Plane separation postulate B) Pasch's…

A: Solution

Q: I'm 4-√3x + 1 2=75 2²²-7x+10

A: We can solve this as follows:

Q: 1 2 -1 -2 6 V = 8 The graph above shows the base of an object. Compute the exact value of the volume…

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Q: Find the composite function f(g(x)). 4. f(u) = 3u²+2u-6, g(x) = x + 2

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Q: Verify that the Intermediate Value Theorem applies to the indicated interval and find the value of c…

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Q: Tutorial Exercise Find an expression for a cubic function f if f(2)= 24 and f(-2) = f(0) = f(3) = 0.

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Q: 10. Given that limx→ csc²x ∞, illustrate Definition 6 by finding values of 8 that correspond to (a)…

A: Concept: We utilize the formal concept of a limit to determine the values of δ in the limit…

Q: Use the vertex (h, k) and a point on the graph (x, y) to find the Standard Form ( f(x) = a(x − h)² +…

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Q: Consider the triangle shown in the figure. y (cm) 11 10 8 7 6 5 4 3 2 1 0 012 3 4 5 6 7 89 10 11 x…

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Q: Let if x < 1 f(x) = {(x - 2)² [x² + 1 [(x - 2)² if x = 1 (a) Find limx→- f(x) and limx→+ f(x). (b)…

A: Given: For (a), limx→ 1-x2+1Plug in the value x=1=12+1=2limx→ 1+x-22Plug in the value x=1=1-22=1

Q: Sylvia conducts an experiment using two long pieces of a cord and a spherical ball that has been cut…

A: Given- Sylvia conducts an experiment using two long pieces of a cord and a spherical ball that has…

Q: Find the second derivative of each function. Do not leave negative exponents in answers: (a) y =…

A: Given that a. y=5x12-2x-1b. y=x+2x2-4+e3xTo find : Second derivative of each function Solution :a.…

Q: x+1 x²-4 5. Given f(x) = x + 2, g(x) = Find g(4), (ƒ • g)(2), ()(1), (gof)(1). Solution:

A: See this solution in below with details.

Q: Which of the following differential equation is ordinary, linear, first degree, and the dependent…

A: To determine which of the following differential equation is ordinary, linear, first degree, and the…

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

A: 1)f(x)=2x+4 and g(x)=5x2+5x 2)f(x)=x2-7x and g(x)=x+15

Q: d²y dx² - 3x4y( y Type: Order: Degree: Linearity: dx³ Dependent variable/s: Independent variable/s:…

A: We can solve this as follows:

Q: a) For x>, the derivative f'(x) equals the number b) For <, the derivative f' (x) equals the number…

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Q: Consider the function as representing the value of an ounce of palladium in U.S. dollars as a…

A: Solve the following

Q: Find the y-intercepts of the graph of (x−3)^2+(y+6)^2=100

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Q: Find the acute angle between the lines. Round your answer to the nearest degree. 7x - y= 4, 5x + y =…

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Q: 28. Se cost sin 2t dt

A: ∫0πecostsin2tdtSolution :∫0πecostsin2tdt2∫0πecostsintcostdtlet, cost=x-sintdx=dxsintdx=-dxat…

Q: Which is the differential equation of the family of parabolas with axis along the y-axis and with a…

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Q: I cos (x) sin(x) dx A. (sin²(x)) + C 2 B. (sin² (2x)) + C 2

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Q: B. by factoring 1. x² + 7x = 0 2. m² + 8m = -16 3. x2 + 5x − 14 = 0 4. 2y2 +8y - 10=0

A: Topic = Quadratic equation As per guidelines , At a time only three sub-parts can be answered.…

Q: Find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify…

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Q: y = cof'/ x2-1 x²+

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Q: Parameterize the line through P = (–2, 2) and Q = (5, 6) so that the points P and the parameter…

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Q: - Solve the quadratic equation using appropriate method. x² - 81 = 0 2. x² +5x +6=0 3. 2x2 4x+3=0

A: Here we have to solve the quadratic equation.

Q: 4. 2y2 +8y - 10= 0

A: Given problem:- 4.   2y2+8y-10=0

Q: y = (sin x) ³

A: Given function is  y = (sinx)y   this is explicit function of x and y.  So, first we will take…

Q: I 3 r 2 T 3.Evaluate 2 [2 sin x] dx = , where [] is define the greatest integer function.

A: Integral