dv Draw a dependency diagram, and write a chain rule formula for ds where v=h(p.q), p = f(s), q=k(s).

Q: (a) f'(-3) (b) f'(-2) (c) f'(-1) (d) f'(0) (e) f'(1) (f) f'(2) (g) f'(3) y = f(x) 1 0 X

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Q: Evaluate the definite integral. Le 1 t³ ln(3t)dt

A: Detailed solution is given below.   Integration by parts used here. ∫a(x)b(x) dx = a(x)∫b(x) dx -…

Q: K Find the unit tangent vector of the given curve. r(t) = 3t³i-12t³j+ 4t³ k 3 OA. T(t)= 1 13 3 OB.…

A: Option (B) is correct answer  For detail go through the solution I have solved step by step in…

Q: "Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

A: 1) Domain: The domain of a function is the set of input values for which the function is real and…

Q: Sketch the graph of an example of a function f satisfying all of the following: dom f = [-2,2),…

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Q: 1) For what value(s) of a does m(x) = -4? Separate multiple answers with commas as needed. -1, 1…

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph,  points are…

Q: Find the solution to (ylnx) (lny) dx + dy=0. Ox(lnx-1) + In|lny |= C O xlnx-x= - In|lny | + C…

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Q: 5. Prove, if true, that if A, B and C are sets that A - (Bn C) = (A - B) U (A - C). If it is not…

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Q: Let A = 6.1 ag - 2.5ẩn and B = -2.9 ấg + 4ẩn given the unit vectors âg=0.6ây +0.8ây and ân =0.8ây –…

A: According to question,Given Vectors,A→ = 6.1 ag^- 2.5 ah^,B→ = -2.9 ag^+4 ah^ag^ = 0.6 ax^ +0.8…

Q: Question Suppose that a revenue function is given by R(x) = e(x² - 1). 4 Calculate the marginal…

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Q: Use the product rule to find the derivative of the following. (Hint: Write the quantit as a…

A: By using the product rule to find the derivative of the following function. kt=t2-92

Q: Consider the following function. f(x, y) = x² + y² + x²y + 7 Find the following derivatives. fx(x,…

A: As per the instruction,  i will answer the first three subparts. Given: Now,                ∂ ∂…

Q: Find the derivative and domain for the function f (x) = = 3x-2 5x2–25

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Q: i cant see the rest of the solution

A: To find the integration.

Q: When demonstrating that lim suffices? 8=0.000004 = 0.000001 ✓=0.000002 1 = ∞ with M = 100000, which…

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Q: Consider the function f(x) = -x³-6 on the interval [-4, 4]. Find the absolute extrema for the…

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Q: 5. Radioactive decay. Gold-198 has a decay rate of 25.72% per day. The rate of change of an amount N…

A: This is a problem related to integration of the function. Please follow the procedure given below.…

Q: f(x)=8x*; x=2 he instantaneous rate of change for the function at x = 2 is Round to three decimal…

A: Given: f(x) = 8 xx  At x = 2

Q: The graph of y = m(z) is given below. Answer each of the questions below the graph. 10+ 9 st…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Given the function P(x)= x³5x² - 24x, find its y-intercept is its x-intercepts are 1 X1 < x2 < 3…

A: Given function:- Px=x3-5x2-24x

Q: Describe the given set with a single equation or with a pair of equations. The circle of radius 4…

A: given radius =4 centre is  (0,5,0)  standard form of euation is (x-a)2+(y-b)2+(z-c)2=r2 where r is…

Q: Determine whether the following curve uses arc length as a parameter. If not, find a description…

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Q: I dont see the answer I am looking for here, What is v(t) =  ??? Did not fill in the blanks as…

A: If a function st gives the position of a function at time t, the derivative gives the velocity ,…

Q: The following linear system is in echelon form. Solve the linear system by back substitution. X₁ +…

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Q: {} n+1 •n=1

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Q: A record company has determined that the cost of producing CDs is $0.06 per CD plus $597.60 per…

A: to find out the profit function equation and also we need to find out the break even point.

Q: Evaluate limit lim [ln(x² + 3x + 1) − ln(x + x³)]. x→∞

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Q: Find the Taylor series generated by f at x = a. 5 f(x) = a=1 2 X Choose the correct answer for the…

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Q: Determine the points at which the function f to the right has discontinuities. For each point state…

A: Condition of continuity1. fa is defined2. limx→afx exists3. limx→afx=fa

Q: The area of a triangle with sides of lengths a and b containing angle theta is = 1/2absin(theta).…

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Q: Find y' for y=8x7 + 4x¯¹. 1 y'=0

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Q: Question 1 Find the solution to (2x+3) y'=y+ (2x+3) ²; x = -1;y=0 2y = (2x + 3) ²1n (2x + 3) y=…

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Q: Sketch a graph of f(x)=x+1 1 -5 -4 -3 -2 -1 5 4 3 2 1 -1 1 if -1 1 2 3 4 5 -3 -4 -5 Clear All Draw:…

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Q: Find the length of the following curve. x² 32 y= +4 Inx, 2 ≤x≤4 The length of the curve is (Type an…

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Q: The integrating factor to the linear first order DE ty' + 2y=2sint O 0 1² Ot O e 2t O e¹

A: ty'+2y=2sintstandrad form of linear first order DE is dydx+p(x)y=q(x)integrating factor=e∫p(x)dx

Q: Use Euler's method with step size h = 0.1 to approximate the solution to the initial value problem…

A: Introduction: The Euler's method is a first-order numerical procedure for solving ordinary…

Q: Let f(x) = -1-1² if z 1 2x+6 Calculate the following limits. Enter "DNE" if the limit does not…

A: f(x)=10-x-x2 if x≤12x+6  if x&gt;1(1)  for x≤1,  f(x)=10-x-x2for x&gt;1,  f(x)=2x+6&gt;

Q: 8. For the curve given by r(t) = (sin³ t, cos³ t, sin² t), 0≤ t ≤, Find an equation for each (a) the…

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Q: Suppose that the average cost function is given by C(x) = c'(x)= xC'(x) - C(x) x² OA. f'(x)= In…

A: Topic =Derivative

Q: (x, y) = (b) 1 1 (d) 1/2 Does not exist. (x, y) = Ty³ x² + y6 = Find limf(x,y) along the path x =…

A: We will find the required.

Q: Let f(x) = (mx-14 ²+6x-8 if x < -6 if x ≥-6 If f(x) is a function which is continuous everywhere,…

A: Given query is to find the value of m

Q: The vector r(t) is the position vector of a particle at time t. Find the angle between the velocity…

A: To find the angle.

Q: = [5,-3] and q.= [1,4], find | p - 5q |

A: Given query is to perform indicated vector operation.

Q: If r(t) is the position vector of a particle in the plane at time t, find the velocity vector of the…

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Q: Find the slope of the tangent line to the graph of the given function at the given value of x. 1/2…

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Q: Consider the following equations. y = x² - 4 y = -x + 3 x = 0 x = 2 Sketch and shade the region…

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Q: Starting with an initial value of ​P(0)=20​, the population of a prairie dog community grows at a…

A: Given query is to find the population after 13 months and the population function.

Q: Solve the initial value problem.

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Q: Determine the formula for the function represented by the integral. |t| dt (Express numbers in exact…

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Q: Find the center and the radius of the sphere. x² + y² +z²-3x + 2z=0 The center of the sphere is (0…

A: The given equation of sphere is: x2+y2+z2-3x+2z=0 To find the center and the radius of the sphere.