The slope of the curve f(x)=x^(2)+4 at point (-1,4) is

Q: If f(x) = - 3/2 and g(x) x + 2 2x² 3 6x + x² 3 6x + 1 1 2x + x² x + 6 2x² = X + 1, find (-1)(x) (x)…

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Q: Determine the domain and range of the function. bo m Part 1 of 2 e L el + -2- + 2 3 41 The domain of…

A: INTRODUCTION A function's domain is the set of all input values for which it is defined, whereas its…

Q: Given that f(x) = x² (a) (ƒ+g)(x)= (b) (f - g)(x)= (c) (fg)(x)= - 15x and g(x) = x + 1, find

A: Since you have asked multiple  part question, we will solve the first 3 part of the question for you…

Q: The graph below is the function y = f(x) -1 1 -1 Jr 1. Choose all x-values where f is not continuous…

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Q: Given that 1. lim[f(x) + 3g(x)] = 2. lim[ƒ(x)]² x find the following limits. If a limit does not…

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Q: number of 3D movies released in a country in recent years is approximated by f(x) = x². 29 and…

A: Given query is to find rate of change in 2029.

Q: te the following: 2x dx x - 4 dx

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Q: f(x) = 3x² + 26 What is the slope of this function when x = 8.7? (Round to the nearest hundredth)

A: Givenf(x)=3x2+26   We are required to find the slope of this function when x=8.7

Q: af Find and əx Əf dy 2 f(x,y) = √/2x² + y²

A: (1)  f(x,y)=2x2+y2for ∂y ∂x assume   y is constant ∂ ∂x(xn)=nxn-1∂ ∂x(x)=12x

Q: f(x)=-4x+4,g(x)=2x^(2)-3x Find f(3) and g(-6) Simplify your answers as much as possible.

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Q: The graph in the figure is a horizontal and/or a vertical shift of the graph of y=x^2. Find a…

A: Here we have to plot a graph.

Q: Find the relative extreme value of the function. (If an answer does not exist, enter DNE.) y6)/6…

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Q: (d) (e) (f) [ ₁² V. [ (sec²(x) — csc²(4x)) da. x² √x³+3 dx ** π/4 sin(4x) dx.

A: Detailed solutions is given below.

Q: 2) Determine 3TT b. 23sin²2x dx

A: INTRODUCTION For any continuous function, f(x) which is defined on the closed interval, say [a,b],…

Q: Consider the following. Find the following partial derivatives. az as az at дz ди Find az Əs дz at…

A: Consider the following. z=x4+x2y, x=s+2t-u, y=stu2To find the partial derivatievs ∂z∂s, ∂z∂t,…

Q: V+ S₁₁ 275 (√5 - √55) 23 Si :) dy = 2-4

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Q: Find an equation for the tangent line to the graph of the given function at (-3,4). 2 f(x)=x²-5 Find…

A: Given query is to fins the equation of the tangent.

Q: The region R in the first quadrant of the xy-plane is bounded by the curves y = -6 sin(x), x = π, x…

A: The given region is: y=-6sin x,       x=π,    x=2π  and  y=0

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

A: here we have to find the limits.

Q: If limx→af(x) exists and limx→ag(x) exists, then it is necessarily true that limx→af(x)g(x) exists.…

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Q: Let g(x) = x² +Ax-7 x + 6 x ≥ 4 x < 4* Calculate lim g(x). x-4- Find the value of A that makes g…

A: The given function gx=x2+Ax-7,x≥4x+6,x&lt;4. We have to find the value of A, that makes g is…

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

A: C=limx→-8x2+16x+64x2+9x+8if we put x=-8than C=00 form there for use l'hopital rule

Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. an n! 53n…

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Q: Let F be the function whose graph is shown below. Evaluate each of the following expressions. (If a…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Calculate [1, 2, 2] x [5, -5, -1] -

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Q: Prove the following:  If a <b, then -b < -a

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Q: lim sin 9x sin 4x sin 4x sin 6x x-0

A: Given: limx→0sin9xsin4xsin4xsin6x

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

A: Here we have to find the limit.

Q: Solve x3 + 3x2 - 4x=0. Enter the values below. Smallest value: x= Middlex value: x= Largest x value:…

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Q: Find the cross product a × b. a = (t₁3, 1), b = (12², 1², 1) 8, Verify that it is orthogonal to both…

A: Given  data :  a=t, 8, 1t, b=t2, t2, 1.

Q: determined that the cost of producing x units of a certain item is 4x + 4720. The demand function is…

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Q: Use the given graph of the function f to find the following limits: 1. lim f(x) = -I←x 2. lim f(x) =…

A: Note: As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: 1. Find the third order derivative f"(2) of f(x) = x³. Of" (2) = 1 Of" (2) = 0 Of" (2) = 12 Of"" (2)…

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Q: Given f(x) = √3x, find f(x+h)-f(x) (a) h

A: Topic:- application of calculus

Q: Find the area of the region bounded by the graphs of the equations. f(x)=sin 2x, g(x) = cos x,-17…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Find the volume of the solid generated by revolving the region about the y-axis. 3) The region…

A: Given vertices of the triangle ( 0 , 0 ) , ( 5 , 0 ) &amp; ( 5 , 2 )

Q: 4. Find the cosine of the angle between the normal vectors to the planes x+y+ 2z = 3 and 2x -y + 2z…

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Q: A computer manufacturer has a profit function given by P(x) = 20xe-0.004x dollars, where x is the…

A: NOTE: Refresh your page if you can't see any equations. . the first value of x is x=920 . the…

Q: lim f(x) = 8 x→2 then compute the exact value of lim V x + f(x) x→2

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Q: Video Example Show that Solution 9x² - 4y² lim (x, y) (0, 0) x² + y² Let f(x, y) = (9x² - 4y²) (x² +…

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Q: II. Get the transfer function of the differential equation: 2. y"+ 3y'+4y=x" - 2x²+x

A: Given :y''+3y'+4y=x''-2x'+x

Q: Evaluate the limit: 1-cos 3h h lim h→ 12/2 -

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Q: The top and bottom ends of a windshield wiper blade are 31 inches and 13 inches, respectively, from…

A: Given: The top and bottom ends of a windshield wiper blade are 31 inches and 13 inches,respectively,…

Q: the Cartesian equation xy = 21 with an equivalent polar equation. ivalent polar equation is…

A: Topic:- calculus

Q: 25. All solutions are asymptotic to the line y = 3-t as t → ∞.

A: (25) Given that , y=3-t Construct a first order liner differential equation whose solution have the…

Q: Evaluate the limit: lim sin 5x sin 4x sin 4x sin 2x x→0

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Q: II. Get the transfer function of the differential equation: 1. y"+ 7y" -8y' +4y=x" - 5x' +6x

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Q: what is a point on the x axis that is eqidistant from the points (-3,4) , (5,-6).

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Q: An arc of length 19 meters subtends a central angle of 288 in a circle. a) Find the circumference of…

A: Given query is to find the area of the circle.

Q: If f(x) = f'(x) = 4 x³ t² dt then

A: we need to find the derivative of f(x).