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Q: Given G = xey-z^2, x = 2uv, y = u-v, and z = u + v, find the following using the Chain Rule when u =…

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Q: A university is trying to determine what price to charge for tickets to football games. At a price…

A: Let variable be defined as x so

Q: For the equation given below, evaluate y' at the point (1, 1). 3x³y-3r² = 0. y' at (1, 1) =

A: As we know that, The Power law: ddxxn=nxn-1 The Product rule: f·g'=f'·g+f·g'   The given equation…

Q: 1-X 2x²-3x dx

A: We have to evaluate the integral: ∫1-x2x2-3xdx

Q: Let R be the region in the first quadrant between the circles with center at the origin and radii 2…

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Q: Use the given graph of f(x) to answer the following questions. f(x) -2 0x-3 0x-3 c. Find the…

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Q: 3. fº 13. dx (a² + x²)³/2¹ a>0

A: Given  ∫0adxa2+x232     Substitute, x=a tan u ⇒u=tan-1xa                 dx=a sec2u du…

Q: Suppose the graph of y=f(x) is given by the figure as indicated 1) Evaluate lim f(x) X-3-1 (-3,2)…

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Q: Prove that the radius of curvature of the Helix curve (helical spring) r(t) = (cost,sin t, t) is…

A: r(t) = (cost,sin t, t)

Q: 9. Find the absolute maximum and Absolute minimum values of f on the interval. f(t) =+ = √³+ [116]…

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Q: ) Assume that f(x) is everywhere continuous and it is given to you that lim x→3 f(x) +3 x - 3 = -10…

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Q: Let R be the region bounded by y = x², x = 1, and y = 0. Use Cylindrical Shells method to find the…

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Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y =…

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Q: The linear density of a rod of length 4 m is given by p(x) = 5+15√x measured in kilograms per meter,…

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Q: 5 a. Find f'(x) and also f"(1) if f(x) =

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Could you pls solve this question 100% correctly with all work, and if possible could you do it…

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Q: Evaluate the integral: -28 √7² √² + 100 dx

A: Here we have to find the integration.

Q: A patient is adminstered a dose of 60 mg of a drug. If the body naturally disposes of 3​% of the…

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Q: If f(x) = 4x² + 2x + 9, find f'(1), using the definition of derivative. For this question, you will…

A: f(x)=4x2+2x+9f'(a)=limx→af(x)-f(a)x-a

Q: A company produces a special new type of TV. The company has fixed costs of ​$485,000​, and it costs…

A: Given information: Fixed cost=$485,000Production cost=$1100# of units produced=x--------------If…

Q: Find the derivative of the function at Po in the direction of A. 0 f(x,y,z)= -3ex cos (yz),…

A: Solution will be given below   i+3j+2k is written as (1,3,2) [ In the vector form ]

Q: An arithmetic series is defined by the formula a = 6n-3. a) What is the first term of the series? R…

A: Given query is to find nth term and the sum n term .

Q: In the following figure, estimate the slopes of all line segments. (If an answer is undefined, enter…

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

Q: Suppose the graph of y=f(x) is given by the figure as indicated 1) Evaluate Iim f(x) X-1-80 (-3,2)…

A: Suppose the graph of y=fx is given by the following figure below. To evaluate the following.…

Q: question

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Q: In each of the following, verify that the given expression is an explicit or implicit solution of…

A: Implicit solution -  Implicit solution means a solution in which dependent variable is not…

Q: An airplane is flying in still air with an airspeed of 475 miles per hour. The plane is climbing at…

A: The speed of airplane, u = 475 mi/hr The angle formed by airplane's velocity with horizontal, θ =…

Q: Solve the equation A = busing LU factorization given that 2 -2 2 -3 2 and 6 = 10-14 and 18 || - Bug…

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Q: 1. Evaluate the integral fx ln(2x) using the method of integration by parts. Show t in a logical…

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Q: 5r – 2 2x + 1 (a) Compute the derivative of f(x) directly from the limit definition. ƒ'(x) = f(x) =…

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Q: Let a. Compute det (3A). det (3A): = b. Compute 3 det(A). 3 det (A) = A = -2 -3] 2 2

A: The matrix is given by A = -2-322 To evaluate: a.  det3Ab.  3 detA

Q: Use the Shell Method to compute the volume of a solid obtained by rotating the region enclosed by…

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Q: 2x-1 3. Write the equation of the tangent line to y = 5x² + x at x = 1

A: The function is  y=2x-15x2+x

Q: At what points (x,y,z) in space are the functions continuous? a. h(x,y,z)= In (4z-x-4y²-4) b.…

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Q: Find the extreme values of the function f on the interval (2.5, 6]. If an extreme value does not…

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Q: Consider the following cost function. a. Find the average cost and marginal cost functions. b.…

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Q: Find by implicit differentiation. dy dx 2₁,312x1² = 10

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Q: Find the equation of the tangent line to the curve at the given point. y = x cot(x) at the point…

A: Given equation of curve y = xcot( x ) point at x = 4 at x = 4 y = 4cos( 4 ) y = 57.2 so point will…

Q: Use the formula for the sum of a geometric series to find the sum. (Use symbolic notation and…

A: Given: ∑n=2∞7·(-3)n8n

Q: If the lim f(x) and the livigas exist, then the lim [f(x) ga] exists. X-C X-C

A: if the limit x tends to c of f(x) and limit x tends to c of g(x) then the limit x tends to c of…

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A: A ladder 10 ft long against a vertical wall. The bottom of the ladder slides away from the wall at a…

Q: Find a unit normal vector for the following function at the point P(5, -2, 125): f(x, y) (Please…

A: Here we have to find the normal vector.

Q: y=cos(x+π4) Use π=3.14. Use the Sine tool. First plot a point along the midline of the function.…

A: The given function is: y=cosx+π4

Q: Find the slope of the tangent line to the curve 2x+9y+√√/2xy = 9 at the point (8, 1). The slope of…

A: 2x+9y+2xy=9slope=dydxd dx(xn)=nxn-1d dx(x)=12xd dx(constant)=0

Q: Find a possible formula for the rational function whose graph appears here: I 1 I

A: We need to find a possible formula for the rational function whose graph is given below:

Q: Sentwork Solve y'" - y" = e³x + 3e4x y = C₁ + C₂ x + C3e* + 18 e 3x + 16 4x

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Q: Write the equation of the line through the given point (a) parallel (b) perpendicular to the given…

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Q: By considering the first two derivatives of g(x), show for x > 0: ex>1+x-x²

A: According to question,Given function,g(x) = ex - 1 - x + x2

Q: 43. f(x, y, z) = In 1-√√x² + y² + z² X 1 + 2 2 x² + y² + z² √x fy(1, 2, 2)

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Q: What is the cosine equation of the function shown? 13 12 11 10 8 7 M 4 3 2 1 11 2n -2 -3 165 -NW -5…

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