. A rectangle has a perimeter of 6x + 9x² - 10x +5 and a length of x. Find the width of the rectangle when the length is 21 inches.

Q: Find the area of region A in the figure if the equation of the boudary is r = 4 cos (0). r=1 A A = X…

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Q: Find the derivative of the given function. COS ³ (1) g(x) = 2 cos3 O a) g'(x) = -3 cos² (sin() Ob)…

A: Given, g(x)=2 cos3x2

Q: J

A: Topic:- geometry      Definition :- system of equation is defined as  two or more equations that…

Q: When completing the square for the quadratic equation shown below, how is c calculated?

A: Our Aim is to show how c is calculated when completing the square for thequadratic equation…

Q: Let y = 5√√. Find the change in y, Ay when x = 2 and Ax = 0.1 Find the differential dy when x = 2…

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Q: Find the derivatives of each of these functions. a. y = (x¹+csc(z)) ³ b. y=sin(z) sec(41) c. y = csc…

A: Note - As per our guidelines we have to answer first three sub parts if multiple subparts are posted…

Q: What object is sliced to get conic sections? A pyramid A cone A sphere A cube

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Q: When completing the square, a quadratic trinomial is turned into which one of the following? A…

A: Given.

Q: Ronnie scored 8 baskets in his basketball game for a total of 18 points. How many two-point and…

A: Assume number of two points and number of three points and then go ahead.

Q: Use Green's Theorem to evaluate the following line integral. Assume the curve is oriented…

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Q: Find all the values of x such that the given series would converge. ∞ (-1)" Σ (x¹)(n+3) (5)" n=1 The…

A: answer is in next step. please give a like !!

Q: + y² x² + y² = 64 from x=-1 to x=-3 Find the length of arc of the curve x²

A: Given: x2+y2=64 From the limit  x=-1 to x=-3 To obtain the length  of the arc:

Q: An arithmetic sequence begins 7, 13, 19, 25, 31, ... (a) Find the common difference d for this…

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Q: Differentiate the following function. You do not need to simplify the derivative. dy dx || y = 2e²²

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Q: 3. Algebraically rewrite the following equation using properties of logarithms and inverse…

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Q: Let f(x) = ln(x² + 16x + 68) f'(x) =

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Q: A Ferris wheel is 3 feet off the ground. It has a diameter of 50 feet and rotates every 24 seconds.…

A: Disclaimer: since you have posted sub multiples parts of a question, we will solve only first three…

Q: ₁ = 4-3i and Z₂ = 3 + 4i Use trigonometric forms to find Z₁Z2 and Z1 Z2

A: Topic:- application of complex numbers

Q: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure…

A: Question is solved.

Q: What part of this graph is the solution area for a system of inequalities? The blue and red parts…

A: Let's find area of inequalities from given graph.

Q: for problems 16 and 17, use the following. the following rule of func f(x)= x² + 4x² +2 to find 75…

A: Given: f(x)=x3+4x2+2

Q: Find the work required to move an object in the force field F = (x,2) along the straight line from…

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Q: Kai (-1) K Kx 2к

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Q: Two cars leave from the same position at the same time. One travels due North at 30 mph, while the…

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Q: Find the general antiderivative of f(x) = = + C -28²³-03-2/3 + √²

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Q: The original quantity of a radioisotope was 100 mCi. How long will take to reduce to 75 mCi, if the…

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Q: Obtain the family solutions. (5v-u) du + (3v-7u) dv = 0

A: We asked to find the family of the curves

Q: Starting at age 25, you deposit $2000 a year into an IRA account for retirement. Treat the yearly…

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Q: y = (In x)* xln x

A: Explanation of the answer is as follows

Q: Find the integral of f(x) = e- sinh(x) between 0 and 1.

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Q: A store sells two brands of camping chairs. The store pays $10 for each brand A chair and $20 for…

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Q: 5. Using f(x)=xln√x + 2x; Do each of the following: Find f(x) and f(x) a. b. Find critical values…

A: The given function is fx=x lnx+2x we have to find f'x and f''x use the derivative formulas,…

Q: Find the first five terms of the sequence. 011/5 82=1/25 83 1/125 841/625 85 1/3125 50 Determine…

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Q: •y+1 Q5. Evaluate S₂ S¹¹ xy dx dy. -2 Jy²

A: Topic = Integration

Q: Which system of equations represents the following word problem? Carla has 15 nickels and dimes for…

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Q: Match each equation in rectangular coordinates with its equation in polar coordinates. x² + y² = =…

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Q: (x-3)²=2(y- 5)

A: Given the equation is x-32 = 2 y-5

Q: Find the partial derivatives (f, and fy) of the below function and simplify your answe f(ru) = (ru)2…

A: Topic:- application of derivatives

Q: Evaluate the integral of ((x dx)/(x + 1)8) from o to 1.

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Q: Find the exact average value fave of f(x) [0,5] where f(c) = fave. fave = C= Submit Question = 25-2…

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Q: 40- 30 20 10- -10 10 10 20 30 40 50 60 Christian is a lifeguard and spots a drowning child 60 meters…

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Q: Convert x2+y2= 26 to an equation in polar coordinates in terms of ? and ?.

A: The given equation is x2+y2=26 we have to convert this equation into polar coordinate in terms of r…

Q: Approximate the area under the curve y = x³ from x=2 to x = 5 using a Right Endpoint approximation…

A: Right Riemann sum (Right Endpoint approximation): ∫abfxdx=∆xfx1+fx2+fx3+....+fxn-1+fxn Where,…

Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

A: Here is the solution:

Q: cos(20) - cos(0)=0

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Q: Find equivalent polar coordinates (r', 0') satisfying r' ≥ 0,0 ≤ 0¹ < 2π for the · (-1, (c) point…

A: Solution is given below:

Q: Prove that the given transformation is a linear transformation - ( ) T: R³ R³; Ty = x+y+z/ + y

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Q: Use 1st and 2nd derivatives, sketch the graph of given function 2x x² - 1 f(x) =

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Q: Consider the function f(t) = 10 sec² (t) - 3t³. Let F(t) be the antiderivative of f(t) with F(0)…

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Q: Use the rules for sums of powers of integers to compute the sum. 19 Σ 4.² k=6

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