(²) (-1) (ƒ- g)'(-1): 1) = (f+g)'(-1)

Q: O 8e²-4e-4t ○ 4e²¹-8e-4t Ninguna correcta • u = x(4+ y²), x = e³t & y =

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Q: Question 2 i differential equation 1: Consider the following 2 = y + ==Y y = t4e-4t y 3 a) Is the…

A: NOTE: Refresh your page if you can't see any equations. . multiply both sides by t…

Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

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Q: Solve 8-3 cos x = cos x-3 to two decimal places; - << T.

A: Given 8 - 3cosx = cosx - 3

Q: 1. A bacteria culture initially contains 2000 bacteria and grows exponentially. After 3 hours, there…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Use implicit differentiation to find y' for the equation below and then evaluate y' at the indicated…

A: Given y2 + 4y + 3x = 0point - ( -4 , 2 )

Q: (0,-6) (1,-7) ssuming that f(x) is of the form A. Bº, write an xpression for f(x): (x) = 0

A: Given query is to find indicated function.

Q: 6. Find Indefinite integral. Show all your work + √(x² + 5x) dx

A: The given integral is: ∫x4+5x dx

Q: Find the volume of the solid obtained by rotating the region under the graph of the function f(x) =…

A: To solve the following problem of finding the volume

Q: Consider the following definite integrals of the function f(x): 5 [³. f(x) dx = 7 What is the value…

A: Given:∫15 f(x) dx=7∫45 f(x) dx=1

Q: (1) Suppose you lift a stone that has a mass of 5.9 kilograms off the floor onto a shelf that is 2.5…

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Q: Find the work done for a force F = 12 x2 N from x=2 to x =6 m.

A: Given query is to find the work done .

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT y Ü ₂¹ ♥ ❤ II. Calculate the following limits. 4-√√x² +7 3x+9…

A: We have to evaluate the limits.

Q: If f(x, y, z) = xe² sin (42), then the gradient is Vf(x, y, z) =

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Q: Let A = {Dirk, Johan, Frans, Sarie}, B = {Frans, Sarie, Tina, Klaas, Henrika), C = {Hans, Frans).…

A: A=Dirk, Johan, Frans, SarieB= Frans, Sarie, Tina, Klaas, HenrikaC=Hans,  Frans

Q: Solve the initial value problem for r as a vector function of t. d²r Differential equation: = -34k…

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Q: 2. log6 (3x + 7) = 1 - log6x

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Q: Use linear approximation to approximate√64.2 as follows. Let f(x)=√x. The equation of the tangent…

A: Topic- Linear Approximations We are given f(x)=xWe know thatL(x)=f(a)+f'(a)(x-a)ddxx=12x

Q: → Limit Review! Evaluate the following limits: lim lim ln x = In x = x →0* a) d) x →∞ lim x → 2+…

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Q: Find an Indefinite Integral. Show all your work 3x-4 dx X

A: Topic - Indefinite integral We are given ∫x3x-4dxwe know that∫xndx=xn+1n+1+C

Q: A ball of radius 14 has a round hole of radius 3 drilled through center. Find the volume of the…

A: Given query is to find the volume of the resulting solid.

Q: Set up an integral for finding the Laplace transform of the following function: Jo, 0, f(t) = t. -…

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Q: (e) [(e²+e-2) da

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Q: The largest interval I over which the solution of the equation is defined is I = (0, ∞). Select one:…

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Q: 1. The graph below shows the function f(x) = 3(2)*. a. Where is f(x) increasing? Explain. b.…

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Q: A rectangle is to be inscribed in a semicircle of radius 2. What is the largest area the rectangle…

A: We have to use a concept of derivatives

Q: Question 2 differential equation 2 = y² + ¾/7 y y² + y = 1: Consider the following a) Is the given…

A: The given differential equation is:1ty'+2t2y=t4e-4ty-3

Q: The cost (in dollars) of producing x units of a certain commodity is C(x) = 4,000+ 11x + 0.1x². (a)…

A: The cost in dollars of producing x units of a certain commodity is Cx=4000+11x+0.1x2.a To find the…

Q: Find the maximum and minimum values of the function f(x, y, z) = yz + xy subject to the constraints…

A: Given:f(x, y, z)=yz+xysubject to constraints:g(x,y,z)=y2+z2-81=0h(x,y,z)=xy-2=0

Q: 10. Find an area between two curves of the given equations. 3 y=-x ²³+2, y=x-3, X=-1₁ X= 1

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Q: Using a proper substitution, Bernoulli's equation dy dx will be reduced to the linear differential…

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Q: 2) Consider the DE: (2xy − 6x²)dx + (x² +9)dy = 0 - A) Determine whether the DE is exact or not,…

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Q: Find the critical points in the domain of the function: y=4-x³-3 -3.x. If there are no critical…

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Q: Find equations of the tangent plane and normal line to the surface x = 2y² + 4z² 354 at the point…

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Q: If r(x) x-intercept(s) = x+4 x²-4 ,find the following: a. b. y-intercept c. Vertical asymptote(s),…

A: given function is  rx=x+4x2-4

Q: 10) ²xsin²(x³) cos(x³) dx = f_₂xsin²( 2 3π a)³7+2 c) π 3π b) 2 d) 0

A: Integration

Q: Sketch the curve of the following and please list the steps you took, including explanations for…

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Q: kirve 2 3 cos²x sinx dx

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Q: Question 2. differential equation 1 = y² + y 1. -3 2 Consider the following 2 +2y ∙y = Y a) Is the…

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Q: Question 1 equation : y cost + 2te³+ (sint + t²e - 1)y' = 0. Consider the differential a) Show that…

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Q: дz ди Oz дv = = If z = (x + y) ey and x = u² + v² and y = u² - v², find the following partial…

A: find the partial derivative using chain rule

Q: A water tank in the shape of an inverted circular cone has a base radius of 2 m and height of 6 m.…

A: Let h meter be the height of the water at any time t. Let the angle of the cone be 2α Therefore, Tan…

Q: Find all extrema of f(x) =x^3 − 3x^2 − 9x − 1.

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Q: x+6y=12x6₁ dx for the above linear equation if the initial condition is y(1)=2, then the constant c…

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Q: The dosage for a certain type of chemotherapy drug depends on several parameters of the particular…

A: We have to find the formulas for D and c that give D as a function of​ c, and c as a function of w.

Q: circle with radius 2 miles. Find the length of an arc with angle 90° in a mi

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Q: 1,5- 0 2 X √4-x² =dx 01-1 2

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Q: Find an Indefinite Integral. Show all your work So x√3x-4 dx 1.

A: To find the following indefinite integral.∫x3x-4 dx

Q: The DE M(x,y) dx + (3e-4x + 7y) dy=0 is an exact differential equation if O M(x,y)=-12ye-4x-8y O…

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Q: landscape architect plans to enclose a 1000 square foot rectangular region in a botanical garden.…

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