What is sin a? X B B 5 cm

Q: Consider the function where x = √1-y+t³. (a) (b) z=x²-y + 1 Find the partial derivative of z with…

A: Given: The function is z=x2-y+1t, where x=1-y+t3. To find: a) Partial derivative of z with respect…

Q: Given y = (u² + 1), u = x² = 5, determine when x = dx - 2.

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Q: I don't know how to solve this conple

A: Given:  The square corners of equal size x in. by x in. are cut out from a standard 8.5 in. by 11…

Q: If a number is divided by 8 the remainder is 3, if that number is divided seven times by 8 then the…

A: The given data is: If a number is divided by 8 the remainder is 3 Let the number be x Let the…

Q: Characterize (a) all local and global extrema of the following functions 1 f(x) = ³²- x²15x6, where…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Find the indicated higher order derivatives of the following functions: 1. Find all derivatives of…

A: To Find :  Derivative of the given functions.

Q: Evaluate the integral. (Use C for the constant of integration.) 5 sin(2x) J 1 + cos(x) dx

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Q: Integrate TT y 2 x² dy dx.

A: To integrate ∫13∫24yx2 dy dx.

Q: The population of the town of Missed Chances has, since January 1, 1973, been described by the…

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Q: Certain pieces of antique furniture increased very rapidly in price in the 1970s and 1980s. For…

A: The given data is: The value of a particular rocking chair is well approximated by V=701.2t V in…

Q: e derivative.

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Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. [x(3 +…

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Q: e) What is the total distance the particle traveled in 5 seconds Distance traveled

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Q: x x+w x-w x w x W 4

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Q: Differentiate. y = In |4x² - 7x|

A: solution:-y=ln4x2-7xdydx=ddxln4x2-7x       =14x2-7xddx4x2-7x      {chain rule}      =8x-74x2-7x

Q: Select the situations that could be modeled by tangents and circles. a knife that cuts a circular…

A: The given data is: Select the situations that could be modeled by tangents and circles

Q: 31. Evaluate W(1-x, x, x²) (A) 2 (B) 2x (C) -2x (D) -2 32 The roots of the auxiliary equation…

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Q: 11. Find the area of the region between the parabola y = 1 - x^2 and the line y = 1 -x. A. 1/6 B.…

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Q: 79. Evaluate · j; A. 4 B. 8 -4 dx. X-2 C. 2 D. 16

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Q: X x²-x+ 20 3 X để nghi + 5x dx

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Q: -6 y = -5 سیناد abrups and (vilsoming) dodeq 2+ -3 -2 By 1 -2 3 (x-1)(x+4)(x+2) 2 3 THE

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Consider the region D bounded by x = y² - 1 and x = V1-y². -10 -0.5 y 1.5 1.0 0.5 -0.5 -1.0 -1.5…

A: The region D is given as , x=y2-1 and  x=1-y2 Find the volume of the solid under the graph of the…

Q: Use the sales model above to answer this question. What is the instantaneous rate of change of S(t)…

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Q: 5) d²y dy +6 dx² dx +9y=4exp(-3x), y(0)=3, y'(0) = 2

A: The given differential equation is: d2ydx2+6dydx+9y=4e-3x, y0=3, y'0=2 So, we can also write as:…

Q: Show that f(x, y) = e³x sin 3x satisfy Laplace's equation.

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Q: Solve for x. log3(x-4)= 5 X = (Separate answers by a comma.) If the answer is radical use sqrt(5) to…

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Q: Are the following functions strictly convex, concave or none of the above? Explain your answer. (a)…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: of an object of mass m,

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Q: Solve the following for x. Give an exact answer using the log function. 7. (94x-6) = 77 X =

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Q: Find the Laplace transform of f(t) = 4 + 3t – 5t² — 2(t-1) a. (6s²-s-10)/s³ b. (6s² + s-10)/s³ c.…

A: Here we have to find the Laplace transform.

Q: Let f(x)=3e^x+4+e^−4 f′(0)=

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Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. 6 S[$/…

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Q: FINAL

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Q: find f'(x) if f(x) = 52x-1

A: Solving the following problem

Q: 39. Evaluate L{e²¹ cos 6t} (A) (B) S- -2 s² - 4s + 40 S- - 2 s² - 4s-32 40. Evaluate L-1 (A) cos 712…

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Q: Write a vector equation and parametric equations for each line. a) 3x - y = 7

A: note : as per company guidelines we support one question in one request. kindly repost next question…

Q: Consider: f(x) = At which x-value(s) do the local maxima/minima occur? (Hint: Because of In x, the…

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Q: 16. Write the expression below in standard form by completing the square and express the vertex.…

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Q: Evaluate the integral using an appropriate substitution Sa 8 (1-2x)4 dx + C

A: To evaluate the following integral by using an appropriate substitution. ∫81-2x4 dx

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer.…

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Q: A) f(x)=12+9x-3x²-x³ [-3,1]

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Q: The volume V of a right circular cylinder is given by V = r² h, where r is the radius and h is the…

A: Sol:- To find the rate of change of V with respect to r, we need to take the derivative of V with…

Q: A) f(x) = = = - 5x -5x [-3,3]

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Q: 2. Find the derivative of the function f(x) = √√x² +6_ from first principles.

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Q: Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→+∞…

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Q: Find the tangent plane to the equation z = -5x²-2y² - 4y at the point (-2,2,-36). Z= Question Help:…

A: here we have to find the equation of tangent plane.

Q: 1. Sketch a graph of f(x) = = { 2x+3 3 X if x -1

A: Here we have to plot the Graph. According to guidelines we have to solve only first questions if…

Q: 10. Two ships leave the harbor at the same time. One ship is traveling at 14 miles per hour on a…

A: From the data  after 3 hours first ship travel = 14*3=42 mi2nd ship travel = 12*3=36 mi

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: 4. Find the critical points of the function f(x, y) = 2x² - y² +3. Does the function attain maxima…

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