1. For the given functions, state the range and find (f-¹)'(a) using the appropri- ate formula for the derivative of the inverse function. Do not find f-¹.

Q: Find the parametric equations for the tangent line to the curve x =t* _ 1,y=t* +1,z=t* - at the…

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

A: Here, the given sequence is: 2-8, 3-9,4-10,...

Q: Toflow (2) y = √sinh √tan x

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Q: Consider the graphs of y = f(x) and y = g(x) in the given diagram y = f(x) y = g(x) Evaluate…

A: Given query is to read the graph of f(x) and g(x) and answer accordingly.

Q: Which of the following is the differential equation of the family of straight lines with slope "m"…

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Q: Which of the following differential equation is non linear, third degree, order 1, and the dependent…

A: Here is the solution:

Q: Use the difinition of error function Prove that: 5(1/₂/2) = 5T let: ere (x) = 33/3324 dt

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Q: 1. If Y= 4 cos x + sin 2x, what is the slope of the curve when x=2.

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Q: Define R as the region bounded by the functions f(x) = ²+1 and g(x) = 2 between z = 3 and z = 4.…

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Q: Write the equation of the parabola. Directrix x+2=0 Vertex at the origin Oy² = 8x 0x² -8y y² = -8x…

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Q: Show that the graph of f(x)= x6+4 is symmetric with respect to the y-axis without actually drawing…

A: Given: f(x) = x6+4 Graph of a function f(x) is symmetric with respect to y-axis is f-x = fx

Q: y = cof'/ x2-1 x²+

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Q: (1+x²-1) y = tan²¹ / √₁+x²

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Q: (d) +ỷ =0 dy dt (e) (f) d²y dt² d³y dt3 + sin(t + y) = sin t +t + (cos² t) y = t³ dy dt

A: To find out the order of the differential equation and also we need to write down that the…

Q: 36 3 t (min) Heartbeats 2548 26 imates this value by calcu alues of t. (Round your a = 36 and t = 42…

A: We know that,for two given points  (x1,y1) and (x2,y2)Slope=(y2-y1)(x2-x1)Here slope=heart rate in…

Q: d²y dx² - 3x4y( y Type: Order: Degree: Linearity: dx³ Dependent variable/s: Independent variable/s:…

A: We can solve this as follows:

Q: 8. If a square has a side length of 5, what is the area of the square? (A) 10 (B) 25 (C) 50 (D) 100…

A: As we know that; The expression for the area of the square; A=a2 Where a is the side length of the…

Q: 3. If the derivatives of h with respect to U; for h=²u

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Q: Given the integral from 0 to x of the function e-t^2dt: Find the summation form of its Maclaurin…

A: We know that: et=∑n=0∞tnn!⇒e-t2=∑n=0∞(-t2)nn!=∑n=0∞(-1)nt2nn!

Q: Find the composite function f(g(x)). 4. f(u) = 3u²+2u-6, g(x) = x + 2

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Q: 16) 72x5-72x³ - 80x² 18) -77x²-21y+49

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Q: The base of the solid S is the circle x² + y² = 81 The cross sections perpendicular to the base and…

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Q: Compute the indicated value of the given function 1. f(x) = 3x + 5; ƒ(0), f(-1), f(2) 2. f(t) = (2t…

A: Function

Q: 2. Let f(x)=x²-3x+7. Answer the following: a) f(4) = c) f(1/2) = b) f(-3) = d) f(t+2) =

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 1. Introduction 1. For the differential equations in parts (a)-(c), do the following: (i) Determine…

A: We have to find order and linearity of DE.

Q: The functions f(x) and g(x) are graphed below. 5+ 4. } -5 -4 -3 -2 -2 -1 Determine proma -2 -3 -4…

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Q: Find the DE of each of the following by eliminating arbitrary constants. Reduce your final answer in…

A: 2. Given y(x)=C1x+C2e-4x So, y'(x)=C1-4C2e-4x.....(i)

Q: 8. Let f(x)=x²/3. Answer the following: a) f(27) = c) f(-8)= e) f(x) = b) f(-1) = d) f(-81³₂6) = f)…

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Q: 3. Evaluate the integrals √tanh x sech² xdx

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Q: Describe the interval(s) on which the function is continuous. (Enter your answer using interval…

A: We can find the answer as below.

Q: The functions f(x) and g(x) are graphed below. -5 -4 -3 -2 - 5+ 4+ 3- 2+ May -2 -3- -4 -5+ Determine…

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Q: The profit function of a certain firm is f(x) = -6x² + 1188x - 1200, where x denotes units of…

A: The profit function is fx=-6x2+1188x-1200 Here, x is the number of units produced. Part a We need to…

Q: Find the DE of each of the following by eliminating arbitrary constants. Reduce your final answer in…

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Q: if f(x) = x²√√In x² P x A. f'(x) = . find the derivative of this function f'(x) 1-In x² x²√√In x²…

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Q: For the given position vectors r(t), compute the (tangent) velocity vector r' (t) for the given…

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Q: grow art thrive, eventually reprodur the population. (+/24) 10" ³ = 1×2⁰

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Q: IN YA 4 61 543 N 4 3- 2- 1 -6-5 -4 -3 -2 -1 OH 0 F11 G2 -31 -4: -51 -6- 1 2 3 4 5 6 20 X THINK THE

A: We are given two lines, one is defined on x<-2,and other for x>=-2. both are straight lines.

Q: b. Z Z-3

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Q: Find

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Q: Calculate C 4 (x+y+z

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Q: Suppose you have a $175 gift card for gas. You spend on average $24 per week for gas. a) Write a…

A: According to our guidelines, we can answer only the first problem or the first three subparts of a…

Q: 1) Find the vertical, horizontal, and oblique asymptotes, if any, of f(x) = x²+1 x2-5x-14

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

Q: (1) y = x³ lnx (4) y=²+1 (2) y = √sinh √tan.x -,u= u= 3x²-2

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Q: Calculate 127 y [1/10 ds where C is the parabola r(t) = (t, t², 0). Let 1 ≤ t ≤ 4. X

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Q: Complete the table below. Assume ƒ and g are one-to-one functions. x -10 6 g(x) (fog)(x) (gof)(x) 7…

A: We have to fill up the table

Q: x³+1 1) Find the vertical, horizontal, and oblique asymptotes, if any, of f(x) = = x2-5x-14 Find a…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 1 2 -1 -2 6 V = 8 The graph above shows the base of an object. Compute the exact value of the volume…

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Q: =1 6.2 n(x + 2)π --

A: 6. ratio test