Question 12 < > 5x + 5 Given: f(x) 4z-4 Find the inverse function, f-¹(z). =

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Q: DTCL ^ cos log X-1 x/LOGIC CONV MODE CLR ON M+ tan tan F In CONST 570MS Consider the differential…

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Q: Find the radius of convergence, R, of the series. n Σ -(x + 8)n 30 n=1 R= Find the interval, I, of…

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

Q: Let 0 = tan-¹ ( - ), then tan@ =_ and is in quadrant Now use trig identities to find the other 5…

A: Theta lies  in second quadrant ot in four quadrant . First find the trig ratio considering the theta…

Q: x² +9+√√√y²+1=5 max x + y

A: Given problem:-

Q: Caitlyn wants to enclose a rectangular field with two internal partitions as shown. If the area of…

A: Given problem:- Caitlyn wants to enclose a rectangular field with two internal partitions as shown.…

Q: Solve the optimization problem. F = Minimize F = 11x² + 11y² with xy² = 16.

A: Given problem:- Solve the optimization problem.   Minimize F = 11x2 + 11y2 with xy2 = 16

Q: Consider the integral f sin-¹x dx. If we let u = sin ¹x and dv = dx, the integral can be written as…

A: The given integral,  ∫sin-1x dx

Q: 5. What is the derivative of the given function below? * x² + y² = xy dy dy dx dx Option, dy dx = =…

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Q: Solve the system x' = 22+2y y' = -4x+8y-4z = 2z with initial conditions, r(0) = 5, y(0) = 7, and (0)…

A: We use the Laplace transform to solve the given system

Q: x1

A: answer is in next step

Q: The population of elk in a national park is given by the function 1000 P(t) = 1+15e-3t where t is…

A: This question can be solved using the concept of differentiation and limits.

Q: Sx² In²x² dx Integration by-parts

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Q: f(x) = t^2(t - 7)^1/3.   Find all critiacal points and all relative maxima

A: Solution is given below:

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

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Q: ) Encuentra la inversa de la función f(x) = 4x² – 1 3x² = x < 0.

A: The given function is f(x)=4x2-13x2 We first replace f(x) with y. y=4x2-13x2

Q: 13. Find the mass of a thin funnel in the shape of a cone z = √x² + y²,1 ≤ z ≤ 4, if its density…

A: answer is in next step

Q: 1. Consider the graph of f shown below. Using geometry (areas of rectangles and triangles),…

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Q: The series ∞ (-10) k k! k=1 is an alternating series but we can apply the ratio test to ∞ (-10) k k!…

A: We have to check convergence of series with the help of ratio test.

Q: The radius of the base of a cone is 6 inches. The slant height of the cone is 10 inches. Which is…

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Q: 1) f(x,y)=y-x, (2.1)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: a. Sketch v - w by placing the initial point of -w at the terminal point of v. - b. Sketch v – w by…

A: Given

Q: In 2 Use the formula t= that gives the time for a population, with a growth rate k, to double, to…

A: We need to find growth rate and time to double the population.

Q: 7(e)₁² X y= » - [1-171² 2 sec- y = (tan 17 1² ² X y = [cscx]arcsin (cos.x)

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Q: Approximate the local minimum value of the function given below. Use Newton's method with the…

A: Here we have to find the root by newtons method.

Q: The shaded region between the graphs of y = 2x² + 20 and y = 3x - 15 is displayed below in orange.…

A: Area bounded by the curves : If f(x) and g(x) be two continuous function and f(x)≥ g(x) on a,b ,…

Q: Evaluate the definite integral. NOTE: Enter the exact answer. | ti + t²³j|| dt = [

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Q: 1 sinx+cosx+1 -dx

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Q: d 9 a) (t² (t² dx x - − 2t + 1)dt -

A: Given query is to find the derivative.

Q: i mylliplied to ma constraints. ng range, and x minimize the function of lagi zo constraigher y of…

A: Use Lagrange theorem

Q: 3) 4) f(x, y) = (xy-1)² 2 f(x, y) = √√x² + y²

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Q: Use the Root Test to determine the convergence or divergence of the given series or state that the…

A: Use root test to check the convergence of series.

Q: Gravel is being dumped from a conveyor belt at a rate of 34 ft3/min and its coarseness is such that…

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Q: Find the area of the shaded region. f(x)=8x+2x²-x³, g(x)=0 The area is (Type an integer or a…

A: Here we have to find the area of shaded region.

Q: Find each limit, if it exists. +1 (a) lim x→∞0 x4 5 (b) lim x00x³ +1 5 (c) x³ + 1 lim x→∞0 x2 - 5

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Q: Suppose a tank leaks toxic chemicals. The area affected is a circle centered on the tank. When the…

A: A=πr2r0=70 mA0 =4900π  m2r1=220 mA1 =48,400π  m2rate of change in area:=A1-A0t1-t0=48400π-4900π50-0…

Q: f(x) = 6(x-6)2/3 +8. (A) Find all critical values and list them below. Note: If there are no…

A: topic - functions and derivatives

Q: Prove the identity. (secx + 1) (secx-1)= tan ²x Note that each Statement must be based on a Rule…

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Q: Find the value of the constant C for which the integral 5 1² (√x²³²+ 16- X ³+ 4) ax (v dx converges.…

A: We have to find C .

Q: Calculate the derivative. f(x) = 6-9x¹/3 +9e* (Use symbolic notation and fractions where needed.) (6…

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Q: 5 [x²² sec (2) com ³ (2) abr dx 7 2tan can ²2 ( 1 ) [7tan² ( 1 ) +1 + C (Α 77 11 7 2x + (-) == ² (7)…

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Q: Applying the ratio test to the series ∞ 1 k you would compute ak+1 lim = lim k→∞ k→∞ ak k=1 11

A: Given query is to apply ratio test.

Q: Which value of az is NOT in the domain of the function G(z) - = 28 12-25 -?

A: Use the definition of domain  to find the value of x

Q: A particular country's exports of goods are increasing exponentially. The value of the exports, t…

A: Given :

Q: At noon, ship A is 40 nautical miles due west of ship B. Ship A is sailing west at 15 knots and ship…

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Q: 2. Evaluate -π/4 Is -π/4 sinx cosx dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: (4) When 2x³-px²+qx-1 is divided by (x-3) the remainder is 44. When it is divided by (x+2) the…

A: This is a problem related to division of polynomials. Based on the general formula and concept we…

Q: f f(x) x² 4 + x find f"(2).

A:

Q: a) √ (³x²-²) dx S (3x2

A: In this question we have to find integration and after that We have to verify.

Q: Cristina wants to enclose a rectangular field with four internal partitions as shown. If there is…

A: