Find the general equation of the circle of curvature of the parametric equation t+1 X: ; y = ± √√6(t+1); at y =6 2 Equation of the circle of curvature:

Q: Solve the following triangle using either the Law of Sines or the Law of Cosines. a = 6, b=9, c = 10

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Q: 10 = (+5x)dx 45x+9 -1 7/4 52 (+9) + 48 (x+g)' f(x+9) + 2

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Q: Given cost and revenue functions and C(q) = 117q+44000 and R(q) = -3q² + 2700q, how many items must…

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Q: Find the area of the surface obtained by rotating the curve y=1+3x² from 0 to x = 9 about the…

A: Let's find area of surface obtained by given curve.

Q: 6. Evaluate the expression sin cos (77)) 11 tan sin (sin-¹ (²-3)) 13,

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Q: If f(x) = exy, then f'(x) = yexy xexy-1 Select one: True False

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Q: Use the graph of the function y=f(x) below to answer the questions. y 5- # 3- 2+ 1- -5 -4 -3 -2 -1 4…

A: The given graph is:

Q: 7. Consider the region bounded by the function y = 4x, and the lines x = 0 and x = 3. Then the area…

A: Given

Q: Question 8 What is the equation of the line tangent to the function y = x³ + 7x² + 5x - 2 atx=0? Oy…

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Q: Solve the triangle. a=8, b=13, c = 16 A≈ B≈ C≈ (Round to one decimal place as needed.) (Round to one…

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to…

Q: Solve each of the following problems completely. Draw the complete figures for each question. 1.…

A: Please see the below picture for detailed solution.

Q: 27777 Memo No. Date 1 Mo Tu We Th Fr Sa Su Solve the following 1)√(x² + 2x²) dx if (cosx - sinx) dx

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Q: Use the method of adding y-coordinates to graph the function. f(x) = sin (x) + sin (2x) Choose the…

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Q: 3. Determine the limit graphically. Confirm algebraically. x - 1 lim x-1 - 1 1² - 3t+2 lim 1-2 1² 4…

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Q: Find the derivative. f(x) = eº · 3x f’(x) =

A: topic- derivative of a function

Q: Setan2 sec² 2xdx Select one: O a. 0.4325 O b. 0.0287 O c. 0.6543 d. 0.0177

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Q: Subject: Integral Calculus

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Q: 4 0 dx 1+ √x

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Q: 5) (2,0°) -3 (4) 7) 4 ---22 -1 2 + 21 -1 D | x

A: We know that if r, θ is the polar coordinates then the rectangular coordinates is r cos θ, r sin θ.

Q: For each graph below, state whether it represents a function. Graph 1 4 2- Function? Function? -2 O…

A: We have to check the function

Q: The entire graph of the function g is shown in the figure below. Write the domain and range of g as…

A: Find the domain and range

Q: d. lim, In 1000 x ,5

A: Here, note that the function ln1000x grows asymptotically slower than the polynomial x5.

Q: A population doubles every 24 years. Assuming exponential growth find the following: % help…

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Q: 4. f cot²x csc ³x dx

A: Topic:- integration

Q: The functions f, g, and h are defined as follows. f(x) = −3+√x+19 g(x)=−3 |x-8| Find f(-3), g(6),…

A: Topic:- function

Q: 1. F(s) = 4s+2 s²+6s+34

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Q: Suppose the functions f(x) and g(x) satisfy the following: f(2)= g(2) = g(0) = 4 3 2 = ƒ'(2) = g'(2)…

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Q: If a force of 5lb produces a stretch of one-tenth the natural length L ft of a spring, how much work…

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Q: f cot x dx Select one: a. In sina+c + c + c + c O b. In sec x oc. In csc r od. In cos x

A: cotx = cosx/sinx

Q: An open-top rectangular box is being constructed to hold a volume of 400 in ³. The base of the box…

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Q: Evaluate 2* |cos(z) — 1| dr. -

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Q: Let f(x) = µ5ª. Use logarithmic differentiation to determine the derivative. f(x) = ƒ'(1) =

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Q: The two-dimensional Laplace equation, f(x,y)=-4x+2y-7 Find 2x² 22²4 for the given function. 2²1 2²²…

A: Given function f(x,y)=-4x+2y-7

Q: 7. y=4x²-5x is known to be the relationship in a curved archway. Determine the area under this…

A: Note that, the curve y=4x2-5x and x=5 and x=1 intersect at (5,75) & (1,-1) respectively.

Q: 2 and x = 6. 4. Find the area bounded by the parabola y² = 4x and the line y = 2x - 4. ² and Find…

A: To find the area of region enclosed by given curves.

Q: cos\theta =(1)/(3)and \theta  is in quadrant IV, then cos(\theta )/(2)

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Q: sec x = Let f(x) + x³e² - log₂ (5x + 1) + 1 x² √T Using the derivative rules learned in our course,…

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Q: 12x A company has found that the marginal cost (in thousands of dollars) to produce x central air…

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Q: 14 Find f(x) dx for each graph of y = f(x). 0 (a) Q (b) 16- 0 888 16 16+ y BABBARBADE 0 16 Q

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Q: Determine the general solution of the Differential Equations using coefficient linear in two…

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Q: 3. The vertical trapezoid plate shown is below is the end plate of a trough full of water. Write but…

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Q: The cost in pesos of manufacturing x pairs of pants in ABC Tailoring is given by C(x)=1500+3x+x^2…

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Q: An electric elevator with a motor at the top has a multistrand cable weighing 7 lb/ft. When the car…

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Q: 4-3x Evaluate the equation f S dydz Select one: O a. 8/3 b. 8/9 O c. 6/5 O d. 2/9

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Q: -lving ³4xdx gives 4x b. 4x² c. 2x 1²³ C. 31 d. 2x² 1³

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Q: cosh z Let F(x) = 1. Find F(0). 2. Find F'(x). √x+1 sin(1-t) dt.

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Q: Refer to the given figure, if ABCD and m/2 = m25= 70°, complete the table by finding the measures of…

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Q: Find the length of the curve y = ln sin x from t = −2 to t = 0.

A: f(x)=y=ln(sinx) Arc length =∫ab1+(f'(x))2dx f'(x)=dln(sinx)dx=1sinxdsinxdx=cosxsinx=cotx a=-2 b=0

Q: 4. A stone dropped in a pond sends out a circular ripple whose radius increases at a constant rate…

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Q: के For the function f(t, x) = sin(4xt +9x), find and da Əf 4x6x(4xt+9α) (Type an exact answer in…

A: topic- partial differentiation