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Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning.

A: From the given statement, y=-cotx+π4.

Q: Find the curvature of the curve r(t) = a cos ωti + b sin ωtj .

A: Given vector is r(t)=acos ωti+b sin ωtj . Compute the derivatives. r'(t)=acos ωti+b sin ωtj'=-aωsinω...

Q: xp- x²+16 Agree or disagree with the statement: the integral-

A: Given data: The given integral expression is ∫x3x2+16dx. The first method to solve the given int...

Q: Graphf(x) = 2x and g(x) = 2x-1 in the same rectangular coordinate system. Use transformations of the...

A: To determine: Graph of f(x) =2x, g(x)=2x-1 in the same rectangular coordinate system. Use the trans...

Q: Evaluate the trigonometric function csc π at the quadrantal angle, or state that the expression is u...

A: given: cosecπ we know that cosecθ=1sinθ

Q: How to solve this question?

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Q: Let y = arctan(r + e). (This could also be written y = tan-(r+ e").) We will find its derivative. %3...

A: Use the definition of inverse trigonometric function and rewrite the given equation. y=tan-1x5+extan...

Q: 51-54 - Solving a System of Equations Graphically Use a graphing device to graph both lines in the s...

A: Hey, since there are two questions posted, we will answer the first question. If you want any specif...

Q: 1. (a) The matrix I = is called an matrix. (b) If A is a 2 x 2 matrix, then A X I = and IXA = (c) If...

A: We know that matrix representation of identity matrix is as follows: 10012×2 Here order of matrix is...

Q: A rectangular page is to contain 50 square inches of print. The margins at the top and bottom of the...

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Q: Maximizing Profits An apartment complex has 100 two-bedroom units. The monthly profit (in dollars) ...

A: The given function is p(x)=-10x2+1660x-4700. To maximize the profit differentiate the function with ...

Q: Suppose that the growth of a certain population of bacteria satisfies dy dt = ky where ...

A: Given, dydt=ky ......1 where y→number of organismst→number of hoursk→constant

Q: A cell tower is designed to have a 10 mile radius. The service is located at (4,6) on a coordinate p...

A: given that a cell tower has a radius of 10 mile and the service is located at (4,6) to find: (a) the...

Q: Based on the graph of a function that I attached how do I Find the graph of its derivative

A: See from the given graph of the function fx, the graph becomes parallel to x axis at the points x=-2...

Q: A hot air balloon rising vertically is tracked by an observer located 7 km from the lift-off point. ...

A: Given that a hot air balloon is rising vertically is tracked by an observer located 7km from the lif...

Q: Find dy/dx and dy/dx2. x = t2 + 3, y = t2 + 3t dy %3D xp d²y dx2 For which values of t is the curve ...

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Q: dy + P(x) = Q(x) A. Write the given D.E in the standard form de P (X) = b. Q(x) = a. O = eS P dx %3D...

A: Consider the equation

Q: A projectile is launched with an initial speed of 220 feet per second at a height of 4 feet and at a...

A: Concept: The calculus helps in understanding the changes between values that are related by a functi...

Q: Sketch the space curve r(t) = −ti + 4tj + 3tk and find its length over the given interval [0, 1] .

A: Given space curve is rt=-ti+4tj+3tk. Sketch the above space curve as shown below.

Q: $20,000 invested for 14 years compounded at 8% semiannually results in how many compounding periods ...

A: Given principle amount(p) = $20000 Interest rate(r) = 8% = 0.08 Compounded semiannully(n) = 2 Time i...

Q: angle between A and B.

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Q: 2. Let f(x) = S dt for x 2 2 In a) Find F'(x). b) Is F increasing or decreasing? What can you say ab...

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Q: x/42 Evaluate x tan (14x)dx. /42 x tan (14x)dx = Type an exact answer, using t and radicals as neede...

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Q: Find the dimensions that give the largest area for the rectangle shown in the figure. Its base is on...

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Q: A home gardener estimates that 19 apple trees will have an average yield of 147 apples per tree. But...

A: Total number of apple trees=x+19GIVEN:Additional tree planted the yield will decrease by three app...

Q: A man of height 1.9 meters walks away from a 5-meter lamppost at a speed of 1.1 m/s. Find the rate a...

A: Given Data: The height of the man is: h=1.9 m The height of the lamppost is: H=5 m The increasing ra...

Q: Find the relative extrema, if any, of the function. Use the Second Derivative Test if applicable. (I...

A: Given function ft=2t+1t

Q: I have two functions. Function f models total world population x years after 2000 and function g mod...

A: I have two functions. Function f models total world population x years after 2000 and function g mod...

Q: Prove that the second equality is true and find the values of C and δ depending on A, B, ω*.

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Q: The boundary of a lamina consists of the semicircles y = V4 - x2 and y = V 36 - x2 together with the...

A: The semicircles are y=4-x2 and y=36-x2

Q: 1 This question is about caleulating sin(126y) lim sin(42y) Your friend gave the following solution....

A: given: limy→0sin126ysin42y the first step in the solution that is limy→0sin126ysin42y is incorrect b...

Q: ay"+ Xya (solve by seperating the variabler %3D

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Q: At a certain time of day, the angle of elevation of the Sun is 40°. To the nearest foot, find the he...

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Q: Lana drove from Iowa City to Smallville at a speed of 50 mph. On the way back, she drove at 75 mph....

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Q: x,y,z ≠ 0 if (x-y/x)=(y/z) then z=[x(z-y)]/y

A: Given that, x-yx=yzz=xyx-y ...(1)

Q: cos-1(cos x) = x for every x in the interval________.

A: To find the interval.

Q: Maximizing Profits The quantity demanded each month of the Walter Serkin recording of Beethoven's Mo...

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Q: The function f(x) = x3 + 2 is one-to-one. For the function,a. Find an equation for f -1(x), the inve...

A: given: the function f(x)=x3+2 is one-to-one function as we know that if we have a function y=f(x) t...

Q: Calculus Question

A: We’ll answer the first question since we answer only one question at a time. Please submit a new que...

Q: How to solve this problem

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Q: a) What is the particle's position at time 2? b) What is the particle’s displacement from t= 1 to t=...

A: (a) The function representing the position is X(t)=t3-15t2+48t. To find the position of the particl...

Q: Determine the coefficients a, b, c and d so that the curve y = ax³ + bx² + cx + d be tangent to the ...

A: