Describe what it means to raise a number to a power. In your description, include a discussion of the difference between -5 and (-5).

Q: A bank offers a CD that pays a simple interest rate of 2.5%. How much must you put in this CD now in…

A: Recall: Formula for future value     FV=P1+rn Where, P=present value             r=interest rate…

Q: Simplify: 6(2x? + 4x) + 10(4x² + 3x).

A: Given data:- The given expression is, 62x2+4x+104x2+3x

Q: (a) f(1) (b) lim f(x) (c) ƒ(6) (d) 10- lim f(x) ** Submit Answer 10 Your answer cannot be understood…

A: Topic:- application of derivatives

Q: 2. Determine the arc length of the given curves a) x = 1/² + 1/ 4y luoda r b) y = ln (cos x) 1 ≤ y…

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Q: Find all errors in the following calculation (log(x + 2))2 = 2 log(x + 2) = 2(log x + log 2) = 2(log…

A: Given data, logx+22

Q: 4. Complete the square and list the key features. Be sure to show and explain all work. -direction…

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Q: The graph of h in the figure has vertical asymptotes at x = -2 and x = 3. Analyze the following…

A: Given :-The function y=h(x) has two asymptotes at x=3 and at x=-2.According to graph value of f(x)…

Q: e sum of the square roots of any two sides of an isosceles gle is equal to the square root of the…

A: Isosceles triangle have two equal sides in length.

Q: Laws of Exponents and Logarithm: Simplify the expression using the laws of logarithms and exponents:…

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Q: In a Northwest Washington County, the speeding fines are determined by the formula: F(s) 14(860) +…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is where F=fine in…

Q: Calculate the derivative of the function. f'(x)= f(x) = 5x + x²

A: The given function is; f(x)= sqrt(5x+x2).

Q: (a) graph each quadratic function by determining whether its graph opens up or down and by finding…

A: Concept Used: Basic properties of the function Vertex: Use the vertex form, y=a(x-h)2+k, to…

Q: 11-32 Evaluate the limit, if it exi: x² + 3x x² x² - x - 12 12. lim x→-3

A: To evaluate the limit.

Q: If √x + √y = 9 and y(4) = 49, answer the following: a) y b) The slope of the tangent line to the…

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Q: Write the expression in rectangular form, x +y i, and in exponential form, reie [3 cos π COS + i sin…

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Q: Evaluate the limit 8 02 15 2 lim x- 2 4x² 7+ 3x - - 1- x - 2x²

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Q: which of the following is homogeneous function whose degree of homogeneity is 4. A. f(x, y) = 2x¹ -…

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Q: QUESTION 7 For all sets A and B, (AXB)n(B×A) = Ø. O O False True

A: Given SET A and B

Q: Limits of compositions Evaluate each limit and justify your answer.

A: Given data:- The given expression is, limx→232x5-4x2-504

Q: If (2, 2) is a point on the graph of f(x), which ordered pair must also be on the graph of y =…

A: Given query is to find the point after transformation.

Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the…

A: Topic-Composite function and its derivative we are given, y=cos(sin(x)) and we know that ddxcos…

Q: Solve the given first order ordinary differential equation. dx sec y dy 1+tan y +x tan y-

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Q: Write an equation for the function graphed below. g(x) 6- 5- = 3 ויי -6-5-4-3 -2 -1 -1 -2- 2 1 m th…

A: Topic- Equation of a Parabola Or a quadratic equation. We are given a Downward parabola with vertex…

Q: Problem 3. Consider the integral Using the area interpretation of the definite integral, convince…

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Q: (4) Use logarithmic differentiation to find dy dx y = (2x+5) (x+2)2 (5x-45

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Q: Construct the quadratic equation whose roots are 2 + i , 2 - i

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Q: Identify the inside function,  u = g(x),  and the outside function,  y = f(u). y = (x2 − 5x + 9)3…

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Q: Given the lines l₁: *= 1 = 2=y= 2+1 5 2 -3 and l₂: x - 2 ==-x-¹ -y-1 3 jp.Et a) Determine if l₁ and…

A: #c

Q: An object is dropped from the top of a cliff 600 meters high. Its height above the ground t seconds…

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Q: Find the total area of the shaded region shown to the right given by the curve y = 2(sin x)√1 +…

A: area is =(82)/3

Q: Find the area of the parallelogram with vertices P₁, P2, P3, P4 P₁ = (1,3,3), P2 = (1,5,6), P3 = (0,…

A: Topic- Area of parallelogram with vertices. We are given vertices of parallelogram,P1=(1,3,3)…

Q: Use the equivalent optimization problem above to find the point on the ellipse that is the…

A: The given problem can be solved using the method of Lagrange multipliers. Consider the objective…

Q: Solve the following differential equations. x dy + ( xy + y - 1 ) dx = 0 when x=0, y =0.

A: To solve the following differential equation.x dy+xy+y-1 dx=0, when x=0, y=0.

Q: In Exercises 65–76, write each number in decimal notation without the use of exponents. 65. 3.8 x…

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

Q: Simplify completely. Write your answer using positive exponents only: (2w5p¹v) (8w-8y¹5)

A: Given query is to simplify the expression.

Q: Halona watches as a rocket is being launched from the Warren Valley Space Center. After a while, the…

A: We need to find rate.

Q: Solve equation .Round decimal answers to four decimal places. 2x + 1 = 6x - 1

A: Given data:- 2x+1 = 6x-1

Q: What functions have inverses? How do you know if two functionsƒ and g are inverses of one another?…

A: Inverse functions are function that "reverse" each other. fa=b⇔f-1b=a

Q: 21 (k!)² (2k)!

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Q: 40) As a particle moves along a straight path, its speed v (in cm/sec) at time t (in seconds) is…

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: x² + 1 f(x) = {3 - x √√x /x if x ≤ 1 if 1 4

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Q: Use the graph of f to find the largest open interval on which f is increasing, and the largest open…

A: Given graph is firstly increasing and then decreasing  after that it increases and then again…

Q: Define R as the region bounded by the graphs of f(x) = x² + 2x + 2, x = -2, x = 0, and the x-axis.…

A: we use volume formula .

Q: Plot each point in the xy-plane. State which quadrant or on what coordinate axis each point lies. D…

A: Given data:- The given points, D = (4, 1)

Q: Greg Tobin wishes to invest a $5000 bonus check into a savings account that pays 6.3% interest. Find…

A: Given data, Principal value P=$5000 Rate of interest r=6% Amount A=$11000

Q: Write the expression in rectangular form, x + y i, and in exponential form, reie (√6-i) 8 C The…

A: I am attaching image so that you understand each and every step.

Q: 1. Solve for y: (a) x² + y = 20 (b) 3y - t = t³-y (c) xy + zx = y (d) 2ye - e In x = 3x4

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Q: Determine if the following function is differentiable at x = 3. x² f(x) = 4, √x-2, - x 3.

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Q: The monthly profit from the sale of x units of a product is P = 60x -0.02x² - 15,000 dollars. (a)…

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