3. S dy у e sin²(e)

Q: Let f be the function defined as follows. y = f(x) = 9x² - 3x + 8 (a) Find the differential of f. dy…

A: The given function is: y=fx=9x2-3x+8

Q: Direction: Find the particular solution of differential equation and use typewritten.…

A: (y2+y)dx-(y2+2yx+x)dy=0(y2+y)dx=(y2+2yx+x)dydxdy=x(2y+1)y(y+1)+y2y(y+1)dxdy-(2y+1)y(y+1)x=y(y+1)…

Q: Given that g(x)=x²e²x a) Find g'(x). Completely factor your answer. Determine where g(x) has a…

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Q: Evaluate the integral. Stan tan 15x sec ²15x dx 2

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Q: Solve for x. 11) e¹=0.5 12) 3e²x +3=9

A: (11)  e3x=0.5we know  lnxn=nlnxlne=1

Q: A mountain climber is about to haul up a 50-m length of hanging rope. How much work will it take if…

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Q: 9) True or False. Circle True only if the statement is ALWAYS true. (a) True False f(x)g(x)] =…

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Q: For the following function, a) give the coordinates of any critical points and classify each point…

A: Find maxima minima

Q: 16) Find the slope of the tangent line to the function f(x)=3ex-+ln(2x) at x=1.

A: Given that  a function f(x) and we find the slope of tangent line at x=1.     Here i attached the…

Q: Use a graphing calculator to approximate the solutions of tan ax = 3 over the interval [-27, 2π].…

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Q: Given the two vectors u and v for which • u = √√3, |v|= 2, and • the angle between u and v is π/6,…

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Q: II) Consider and v= the two vectors u = 1, 6,0 >. a) Find |u| and |v|. b) Find u x v, u x vand u. v.…

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Q: Question #10 Use the First Derivative Test to find all x - values of the critical values and…

A: The given function is f(x)= x4-x3 Find critical point, relative maxima and minima, increasing and…

Q: Writing Assignment 8.1 The Game's Afoot The following is a synopsis of the first part of an…

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Q: Consider the graph of f(x) given below. y = f(x) (a) Analyzing the graph, if g(x) = f(x), then g is…

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Q: Given g(x)= 6x^2-x+9 a. g(0) b. g(-1) c g(r) d g(x+h)

A: To find the value of the given function at specified values.

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

A: Solving the following problem

Q: Use an Addition of Subtractic tan(44°) tan(14°) 1+ tan(44°) tan(14⁰) Find its exact value. ula to…

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Q: Find an equation for the tangent to the curve at the given point. Then sketch the curve and the…

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Q: A manufacturer can produce 3240 cell phones when a dollars is spent on labor and y dollars is spent…

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Q: Ο iii. r > 0, 0 Σφ Σπο 0, 0 < p < π 0 < 0 < 2π.

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Q: x-1 z+1' (a) Evaluate f¹(3) = Let f(x) 34 (b) Evaluate (f¹)'(3) =

A: f(x)=x-1x+1(a) (i)  let y=f(x)=x-1x+1

Q: Determine if the function f(x)=√x is differentiable at x = -8. If not, identify why. a.) f(x)=√x is…

A: Given query is to find function is differentiable at x = -8 or not.

Q: 8) Use the information below about the functions f,g, and k to answer the following questions. 1 2 3…

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Q: Find the volume of the solid by subtracting two volumes, the solid enclosed by the parabolic…

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Q: Let Compute dw Əs дw Ət (-1,4) = -(-1,4) = w = 2xy - 5yz - 4xz, x=st, y = est, z = t².

A: Given: w=2xy-5yz-4xz, x=st, y=est, z=t2

Q: Question #1 - Use Simpson's Rule to approximate the following integral using 6 intervals ²√8 + x³ dx

A: Given : ∫028+x3dx To find: Approximate value of the above given integral using simpson’s rule

Q: 4. Find an antiderivative of the given function. a. f(x) = x³ + √x b. f(x) = 32x c. f(x) = 1 √x

A: (a)  f(x)=x3+xanderivative of f(x) is F(x)∫xndx=xn+1n+1+c

Q: 1. Use the graph of y = f(x) below to find the following limits. If the limit does not exist, write…

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Q: Question #7 Find the derivative of the following. Write your answer as the product of linear and…

A: Given query is to find the derivative.

Q: 13. y=-3x²1, [0,1] 14. y =

A: Given query is to find the average value of the function.

Q: 7-8 Graph the surface and the tangent plane at the given point. (Choose the domain and viewpoint so…

A: Answer in step 2.

Q: dy d²y dx² x = ² + 1, y = t² + 9t 2t +9 2t Find and dx dy dx || d²y dx² For which values of t is the…

A: Given query is to find indicated derivative and the value of t where curve concave up.

Q: Use Lagrange method to find all the maximum and minimum values of the function. ƒ(x,y) = x³ /3+ y²/2…

A: Given that , fx,y=x33+y22 subject to the constraint gx,y=2x2+y2-4=0 Use Lagrange method to find the…

Q: 43. x = t², y = t³ 3

A: curvature

Q: Consider the graph of f(x) given below. y = f(x) (a) Analyzing the graph, if g(x) = f(x), then g is…

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Q: 3. The height of a hill is given by z=-5y²-32² + 16x +12y +36 + 6ry Where is the height, z is the…

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Q: i) What type of discontinuity occurs at x = -1? There is a name for this type of discontinuity. i)…

A: Graph of the function is given, we have to find the type of discontinuous at x=-1 and the conclusion…

Q: 6 The power series 1(-1)( k (x+1)k k k= A converges if and only if x € (-2,0) B converges to -log(x…

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Q: A graphing calculator is recommended. Find the dimensions that give the largest area for the…

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Q: Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round…

A: The give equation is: 2cos2θ-5cosθ+2=0  Solve the given equation.

Q: Suppose you have a function f(x) and all you know is that f(2) = 11 and the graph of its derivative…

A: Given that f(2)=11 and graph of the derivative function

Q: Find a value of x, if any, at which f(x) - 4x + 3, 9+, {" If f(x) is continuous for all values of x,…

A: To find the value of x, if any, at which fx=4x+3, x≤29+4x, x&gt;2  is not continuous.

Q: If 1700 square centimeters of material is available to make a box with a square base and an open…

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Q: Consider the alternating series 00 |R351 ≤ 1 Σ(-1). (n + 4)7 n = 1 It can be shown that this series…

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Q: Find all angles, 0° 0 < 360°, that satisfy the equation below, to the nearest 10th of a degree. -2…

A: Here we find all angles    formula use  sin2(thita) + cos2(theta) = 1

Q: Evaluate the triple integral zy dV where E is the solid tetrahedon with vertices (0, 0, 0), (8, 0,…

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Q: 1 Between y = ex, y = __ and x = 1 1+x

A: Given functions: y=ex,y=1x+1 , x=1 To find the area enclosed between the given functions.

Q: Suppose that you can calculate the derivative of a function using the formula f'(x) = 3f(x) + 4x. If…

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Q: Evaluate the integral. 3 I cos ³ (2x)dx

A: Given query is to find integral.