For what value of k will the function f(x) => =X k - X have a relative maximum at x = -1?

Q: Given f(1) = 0, and ƒ(2) = 1/4, evaluate the following integrals: 2 f'(x) 1₁² (4F (2X) x + 1)² 1 dx…

A: Assume, I1=∫12f'(x)(4f(x)+1)2dxAndI2=∫12(8f(x)+2)303f'(x)dx

Q: (2e²y — x)dx = 2e²y (e²y + 2x)dy -

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Q: Find the transformation that makes the ellipse: (x^2 / a^2) + (y^2 / b^2) = 1, into a unit circle…

A: Find the transformation that makes the ellipse: (x^2 / a^2) + (y^2 / b^2) = 1, into a unit circle.

Q: Use a linear approximation to estimate 1.999^4 Because 1.999 is close to 2, let's find the…

A: To use linear approximation to find the value of given expression

Q: (e) An airplane is flying at an elevation of 6000 ft, directly above a straight highway. Two…

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Q: Given the definitions of f(x) and g(x) below, find the value of g(ƒ(6)). f(x) = 2x 15 g(x) = 3x²…

A: Solve the following

Q: (sin20 - 2pcos)d0 = 2dp

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Q: Write the first four terms of the sequence whose general term is given below. an = (-1)+1(n+6) a₁ =

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Q: Sin (12) २ गठ }}

A: Given expression is sin-1-22   Applying the property of inverse trigonometric functions:…

Q: What are the non-permissible values for Select one: O a. x 0,-1,1 O b. no non permissible values O…

A: let A=x2x+1÷xx2-1A=x2x+1×x2-1x

Q: 3. (sin20-2pcos0)d0 = 2dp

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Q: given f(x) = x^3 - 6x^2 - x + 3 and g(x) = x + 2 a. find the remainder when f(x) is divided the…

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

Q: 5 5 Suppose f(x) dx = 9 and g(x) dx = -1. djg (a) dx = Evaluate (-3 f (x) - 2 g(x)) dx. -4 Remember…

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Q: f(x) = . 1 1+x 10 ich of the following is the power series representation for f(x)? 00 A.Σ (-x10) k…

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Q: The characteristic equation for the differential equation: d² x +bx+cx = a dt² dt 0 the expression…

A: Given a differential equation

Q: Julio can sprint at a speed of up to 12.1 miles per hour over short distances. At this rate, about…

A: Ans= 6.6 seconds  For detail...go through the solution

Q: y'' + 4y = cos2t y(0) = -2 and y'(0) = 0 Solve the IVP using the Laplace Transform.

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Q: Write the first trigonometric function in terms of the second for in the given quadrant. tan (0),…

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Q: 8. y = x², y = 3x; about the y-axi

A: We need to find out thr area bounded by the given curves.

Q: Assume that f(x) is everpohare continuous g it is to you that in tut+9 प्रदx-6 given to you -=-12 is…

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Q: Find the arc length of the following curve on the given interval. x = 71³, y=21², osts √/3

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Q: Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a…

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Q: 18 12 [th* f(x)da – [." f(x)da - ["f 2 2 a where a = and b = f(x) dx

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Q: When we estimate distances from velocity data, it is sometimes necessary to use times to, t₁, t₂,…

A: height= time interval x velocity.   upper bound height will be after 62 sec.    h= 0+ 10x180+ 5x319…

Q: For each surface F(u, v), identify the shape of the grid curves when u is constant Some shapes may…

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Q: iven g(x) X 1 = 5₁° dt. Determine g'(0). t² + 1

A: Given query is to find indicated derivative.

Q: x=t+et, y = 1 – et

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

Q: December 10, 2022 at 1:56 PM Starting at age 30, you deposit $2000 a year into an IRA account for…

A: NOTE: Refresh your page if you can't see any equations. . here we have PMT=2000 r=5%=0.05 t=35 years

Q: Find the linearization of the function f(x) = x7 at L(x) = | la k 7 sin (a) at z = 1. Using this…

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Q: Determine the radius and interval of convergence of the following power series. [k²x²k k! The radius…

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Q: 8 19 f(x) dx where a = 18 b - L, "Harde - [10 f(x)dx = 8 a and b = f(x) dx

A: Let's find value of a and b.

Q: A company produces two types of solar panels per​ year: x thousand of type A and y thousand of type…

A: Given revenue function R(x,y)=5x+7ycost function C(x,y)=x2−4xy+8y2+3x+3y−9let profit function = P(…

Q: If the two equal sides of an isosceles triangle have length a, fine length of the third side that…

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Q: Find the exact value of trigonometric functions oft from the •● given information : sect=-2,…

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Q: Find the area of region enclosed by x = t - t¹, y = t-t², 0 < t < 1 using Green's Theorem.

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Q: (e). Find the area of the shaded region in the figure. 120 Answer: 18 6 -18 (²57-13-127-9√3

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Q: A balloon is rising vertically over point A on the ground at the rate of 7 ft/s. Point B on the…

A: We need to find rate of change of distance.

Q: mizing Construction Costs An open rectangular box is to have a volume of 768 ft³. If the material…

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Q: The length of the curve y = 2x^(3/2) between x = 0 and x = 1 is equal to:   (2/27)(10^3/2)…

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Q: +1 dr can't be computed using the Fundamental Theorem of Calculus Part I, since the integrand is not…

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Q: (b) Find the area of a triangle with sides that have length 3 cm and 6 cm and an included angle of…

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Q: f(x, y) = ln(36x + 5y) + 6x² - 5y Local maxima are Local minima are Saddle points are

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Question 8 Find 3 - 4 (6x5 + 2x²) dx <

A: Solution ⇒    8)  ∫−43(6x5+2x4)dx    We know  ∫(xn)dx=xn+1n+1    so first we will…

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 3 F(x) = [³² sin (t³) dt…

A: Find the derivatives

Q: Evaluate fay³dx + x³dy, where C'is the rectangle with vertices (0,0), (5,0), (5,6), and (0,6).

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Q: Find the indicated sum. 5 Σii + 4) i=1 5 Σi(+4)= (Simplify your answ i=1

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Q: 11. Find the measure of the angle between vector and in both radians and degrees.

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Q: (e) Sketch the triangle and then solve for all missing values in the triangle using the Law of ZA…

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Q: Show that the vector field F = is not conservative by showing it is not path independent.

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