If the supply function for a commodity is p = q² + 7q + 16 and the demand function is p = -3q² +59 + 436, find the equilibrium quantity and equilibrium price.

Q: Suppose z = x² sin y, x = 4s² + 3t², y = 8st. dz A. Use the chain rule to find and as functions of…

A: Suppose z=x2 sin y, x=4s2+3t2, y=8stA By using chain rule to find ∂z∂s and ∂z∂t as functions x, y, s…

Q: 03* How many critical points does the function g(x) = |1 - x² | have? 0 1 2 3

A: Critical points for the function are those points where the derivative of function is zero or fails…

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A: Given: A(1, 2), B(−2, −1), and C(−4, 4)

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Q: secx 2. Differentiate (a) y = (lnx)" Solution/Corrections: Iny = secx •In (Inx)

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Q: Question 10 The 5th term of an arithmetic series is 12 and the 11th term is 60. (a) Find the first…

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

Q: Using integration by parts, find the Laplace transform of the given function; n is a positive…

A: The given function is: f(t)=tn eat

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Q: find the integral of cos(2.75x)dx

A: I=∫cos(2.75x)dx

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Q: 口 27⁰ -الا 3* 5. Rewrite the following expression with only x in the exponent:

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Q: Question A2 a) Write the expression sin(arctan(x)) as an algebraic function, without involving…

A: Solve

Q: Find the sum of the series: 7=0 (-1)"36"+2 (2n + 1)!

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Q: 07 * O O 3 7 0 Exercise 1: If f(x) + g([f(x)]²) = 7. Find f'(2), when f(2)= 3 and g'(9) = -1

A: Solve

Q: Find P when t = In 2. dp. Find t when = 4. dt Give your answer in exact form. Find

A: Topic:- calculus and integration

Q: Find the area of the triangle with vertices P(1, 4, -3), Q(0, 0, 0) and R(2, 4, 1). NOTE: Enter the…

A: Let us assume A[1; 4; -3] B[0; 0; 0] C[2; 4; 1]. So,…

Q: Calculate the derivative. (Use symbolic notation and fractions where needed.) cos(s) d's Ludu = -9

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Q: Find an equation of a plane containing the three points (3, 3, -1), (5, 5, -5), (5, 6, -3) in which…

A: Find an equation of a plane containing the three points (3,3,-1),(5,5,-5),(5,6,-3) in which the…

Q: Which of the following is not a homogeneous function? a. h(x,y)=√x - 3xy³ + y4 - x² cos b. w(x, y) =…

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Q: A person’s life expectancy can be modeled by the function g(x) = 10.761 ln(x + 1) + 27.98, where…

A: given  g(x)=10.761lnx+1+27.98given g(x) is expectancy of an aveage persons x years after 1910

Q: A stomp rocket is launched straight into the air and is being watched by students 300 meters away.…

A: Topic = Derivative

Q: What are the equations of the asymptotes of the rational function? f(x) = = Drag equations into the…

A: Topic - Asymptotes of a function

Q: Find dx dt dx dt = at x = 3 if y = x² + 5 and dy dt = - 4.

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Q: Express the function H in the form fo g. (Enter your answers as a comma-separated list. Use…

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Q: Given f (4) = 4, f' (4) — 10, g (4) = −1, and g′ (4) = 6, find the values of the following. (a) (b)…

A: Given: f(4)= 4,f'(4)=10g(4)=-1g'(4)=6 To Find : a) (fg)'(4)b)fg'(4)

Q: •π/2 •π/2 [71²2 1-4/2² cos(x) sin(y) dx dy

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find p, q if f f(x) dx + ₁¹⁹ f(x) dx = f f(x) dx. (Give your answers as whole or exact numbers.) p=…

A: given  ∫57f(x)dx+∫719f(x)dx=∫pqf(x)dxby using properties of integration…

Q: A1. The function f is defined by f(x) = x² − 3x³ + 2x² + 3. (a) Find f'(x), f'(x), and f""(x). (b)…

A: The function f is defined by  f(x)=14x4-43x3+2x2+23

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

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Q: Compute the exact values of each quantity sin(0) Cos(0) tan (0) sec(0) csc(0) cot(0)

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Q: Find the limit, if it exists, or type 'DNE' if it does not exist. lim (z,y) →> (3,4) || ev2z²+5y² =

A: Question - Find the limit , if it exists or type 'DNE' if it is doen't exist.

Q: Which one of the following is the limit of the sequence given by the nth general term n an = (1 +11)…

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Q: Let f'(x)= O-sin(4x) O-sin(x).4 O-sin(4x).4 O-sin(x).4x In x³ √x+cos4x f(x)=√x (√x + cos 4x)..3x² -…

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Q: The equation below gives parametric equations and parameter intervals for the motion of a particle…

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Q: The Squeezing Theorem: Given a sequence {an}, suppose that there exist two other sequences {b} and…

A: we need to find the conclusion of squeezing theorem.

Q: Let f(x) x³ + 3x² - 24x + 25. = (a) Use the definition of a derivative or the derivative rules to…

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Q: Find the equation of the line with Slope = −7 and passing through (9,−55). Write your equation in…

A: Find the equation of the line with Slope =-7 and passing through (9,-55).

Q: Solve the initial value problem. y" + 6y +25y = 0; y(0) = 4 y (0) = -11

A: To find Y(s) of given differential equation.

Q: Find all points (x,y) where f(x,y) has a possible relative maximum or minimum. f(x,y) = x - 24xy +…

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Q: Let T(x, y, z) = x² + y² + z² and h(x, y, z) = 2x + 3y - 5z + 4. Which one of following systems of…

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Q: If xy2-y3=x2-5, then dy dx (that is dy underlined and dx…

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Q: Prove the identity. sin (x-x) sin x+ E|N 2 = tan x

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Q: K An object dropped from rest from the top of a tall building on Planet X falls a distance di(t) =…

A: given  d(t)=5t2t changes from t1=4 to t2=10formula for average rate of change of distance is…

Q: SOLVE: (x² + y² +1)dx + x(x-2y)dy=0

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Q: Let be an angle in quadrant II such that sec 0 Find the exact values of cot 0 and sin 0. 17 15

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Q: ] 4. What value of x satisfies the following equation? 42-283x-6 (Only type your numerical answer in…

A: As per bartleby policy only one question is allowed to solve if multiple question is asked in single…

Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the…

A: Let's solve given integration.

Q: Consider the function f(x) Find the critical numbers. = 2x³ + 39x² Find the interval(s) where f(x)…

A: Consider the function fx=-2x3+39x2-240x+3.To find the critical numbers.To find the intervals where…

Q: The law of cosines. Prove this generalization of Pythagoras' theorem (see Figure 2.7): || X - Y||² =…

A: As per Bartleby answering guidelines when multiple questions are posted in single picture then the…

Q: 03 * Consider the line in R³ that has a vector equation as (x, y, z) = (9, -1, 3) + t(-5, -1, 1), t…

A: