A line passing through the origin makes an angle with respect to the positive x-axis. Find how fast this angle is increasing, in degrees per second, when the slope is 9 if the slope of the line increases at the rate 4.70 per second.

Q: Mary Branson invested her summer earnings of $5000 in a savings account for college. The account…

A: Given Principal amount ( P ) = 5000Rate ( R ) = 6.5 % Time ( t ) = 6 months =0.5 years

Q: For the following vector field, compute (a) the circulation on and (b) the outward flux across the…

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Q: 9.x = 1 -1 (1) -)₁ X 3 2-1 2 1-1,

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Q: A loan of $7,591 was repaid at the end of 11 months. What size repayment check (principal and in The…

A: Given  Loan amount , P = $7591 Interest rate , r= 11.7% = 0.117 Time , t = 11 months

Q: For the function f(x) solving f(x) = 0. Type in x_n for æn Xn+1 = = 3x²1, write Newton's formula as…

A: The given function fx=3x2-1. We have to find the Newton's formula for solving fx=0.

Q: Find the interval of convergence of the series. (x − 7)″ 2+8n Σ n=0 OA. 2<x< 12 OB. -1≤x≤15 O C.…

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Q: 2 T 213 + 219 NN

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Q: You are given the following information. Function: f(x) = -4x² + 5 Point: (1, 1) (a) Find a unit…

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Q: Evaluate the integral. 1 S₁ √x (1+√√x) S 1 √x (1+√x)² dx dx=

A: We need to solve integration.

Q: 39. If 2x − 1 ≤ f(x) ≤ x² for 0 < x < 3, find limx→1 f(x).

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Q: a pathway running tangentially to a perfectly circular lagoon is to have a branching at a point 500m…

A: Given: a pathway running tangentially to a perfectly circular lagoon is to have a branching at a…

Q: For the function given below, find a formula for the Riemann sum obtained by dividing the interval…

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Q: This distance of a body travels as a function of time is defined by x(t) = -2 +2 +2². What is the…

A: Given distance functionx( t ) = -2t + t2at t = 3.20

Q: The volume of the sphere is increasing at the rate of 6 cubic centimeters per hour. At what rate is…

A: Let Volume of sphere = V Area of sphere = A radius of sphere = r V = 43πr3A = 4πr2Given r = 47 cm…

Q: 6 SⓇ t4 In (3t)dt 3

A: Given query is to find the integral.

Q: For f(x, y), find all values of x and y such that fx(x, y) = 0 and fy(x, y) = 0 simultaneously. f(x,…

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Q: Find all solutions of the following linear system: 4x+8y-12z 2x +2y-2z 5x -5y-5z = 0 = 0. = 0

A: To find all solutions of the following linear system.4x+8y-12z=02x+2y-2z=05x-5y-5z=0

Q: (a) Solve cach of the following differential equations using separation of variables. i. ii. 2.…

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Q: Use Stokes' Theorem to evaluate SCF F. dr where C is oriented counterclockwise as viewed from above.…

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Q: 3. Use an addition or subtraction formula to find the exact value of cos 250° cos 40° + sin 250° sin…

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Q: 10. Use Law of Cosines to solve A = 108°, b = 89.2, and c = 23.1 a² = b ² + c² a² cos B = 2bc cos A…

A: Given query is to solve the triangle.

Q: 2. Given x³ + y³ = 3xy, find the equation of the tangent line at (2/3,4/3). I'm looking for your…

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Q: x+3 20 Find the linearization of f(x)=1-S 2² x+3 The linearization of f(x) = 1 - S 8 8 20 2+t dt at…

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Q: Express the following in complex exponential form: x[cos (yº) + jsin(y)] Where x = 10 and y = 128.…

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Q: Find the Taylor polynomial of order 3 generated by fat a. f(x)= In (x + 1), a=5 O A. P3(x) = In 4 –…

A: To find the Taylor polynomial for given function.

Q: e √(x + 2√y) ds Evaluate ds where C is given in the accompanying figure. C (1,1) C Alve y=x y=x² 1-…

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Q: The function f(t) = 4(1.3) determines the height of a sunflower (in inches) in terms of the number…

A: Given function represents the height of a sunflower

Q: Find the velocity and acceleration vectors in terms of u, and up. do r = a cos 40 and dt V= = 4t,…

A: Solution Given r= acos(4theta)

Q: Let f(x, y) = x¹ y ¹ (x² + y²)³° Show that lim f(x,y) does not exist. (x,y) →(0,0)

A: Let f(x,y)=x4y4(x2+y4)3  We  have  to show that lim(x,y)→(0,0)f(x,y) is does not exist

Q: Find the limit algebraically. lim h→0 (f(-2+h)-f(-2)) h where f(x) = -4x²-x+1

A: Given function:- fx=-4x2-x+1

Q: The length of the arc of y = ln cos x from x = π/4 to x = π/3 equals______.

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Q: (a) The series For the following answer blanks, decide whether the given sequence or series is…

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Q: (c) (-7, -1) 6

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Q: Find a number & such that f(x) - 3| < 0.2 if x + 1| < 6 given f(x) = 2x + 5 Leave the result as a…

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Q: Calculate for w = xyz. By

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Q: on-right triangle shown below that has side lengths of 1.5 cm, 1.859 cm and 2. 1.5 cm 0.75 rad B…

A: here we have a triangle :-   (a)  since we know that the angle opposite to longer side is greater…

Q: A restaurant has a main location and a traveling food truck. The first matrix A shows the number of…

A: Given matrix A = 52723B = 438193

Q: 9. Use Law of Sines to solve AABC with B = 17°, a = 3, and b = 1. Round the measures of the unknown…

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Q: If $4,000 invested in a bank account for 5 years, compounded quarterly, amounts to $4,871.10, what…

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Q: Verily that the function satisfies the three hypotheses of Rolle's theorem on the given interval.…

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Q: Consider the following. 8 L²x³, x³ dx = 1,020, 8 Lºx x dx = 30, 8 [³ (8x -1³) dx in terms of the…

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Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) = 3t…

A: Given query is to find the displacement and total distance.

Q: how do you find the polar area of the following single curve, Calculus 3, using the polar area for…

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Q: Write a linear cost function for the following situation. A ski resort charges a snowboard rental…

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Q: 3x ſ¹ S³* S*** ( 3x + 4y − 5z) dy dz dx - -2x x-z

A: The given integral is  ∫01∫-2x3x∫x-zx+z3x+4y-5zdy dz dx

Q: Two particles travel along the space curves r(t)and u(t). A collision will occur at the point of…

A: Two particles travel along the space curves rt and ut. A collision will occur at the point of…

Q: JSF. Use the Divergence Theorem to calculate the surface integral F(x, y, z) = xye²i + xy²z³j -…

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Q: Find the gradient of the function f(x,y)=6y-5x at the point (8,2). that passes through that point.…

A: Please see the below picture for detailed solution.

Q: Find an equation of the plane passing through the point perpendicular to the given vector or line.…

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Q: The expression Step 1: Step 2: Step 3: Step 4: sec x tan x 1 cos x tan x 1 sin x sec x + 1 tan x 1…

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