Given functions f(x) = interval notation. x + 11 and p(x) = Domain of f(x) p(x) Domain of f(p(x)) : Domain of p(f(x)) : Question Help: Video Message instructor = x 7, state the domains of the following functions using

Q: , et ((et + 4)²-9)3/2 dt

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Q: Find the equation for the tangent line of the graph of 4 y = x² at (-2, 16). Equation:

A: Here we have to find the equation of the tangent line of the graph y=x4 at (-2, 16)

Q: y = x4 - 8x² + 8

A: Here we have to sketch the function y=x4-8x2+8 ............................................ (1)…

Q: a. The plane through P(0,2,-1) normal to n=3i-2j-k

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges.…

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Q: Verify that Rolle's Theorem can be applied to the function f(x) = x³ - 8x² +17x - 10 on the interval…

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Q: 4) Find equations for the planes: a. The plane through P(0,2,-1) normal to n = 3i-2j-k

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Q: A trough 21m long has ends shaped like isosceles triangles, with base 5m and height 14m. Water is…

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Q: Find the derivative using logarithmic differentiation √x+1 y= (x+2) √x +3

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Q: A general solution of the separable DE. y'=. =y+1 y + 1 O inly + 1 = ²2 +C Oy²+2y=x²+C 0y² + y = x²…

A: To solve the given differential equations.

Q: Problems: Solve the following differential equations: 9- (e + In y)dx + (+)dy=0 y

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: Find the area of the region in the first quadrant bounded by the circle (x - 1)² + y² = 1, and the…

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Q: 3x + 5, 13+¹6, Find a value of x, if any, at which f(x) = If f(x) is continuous for all values of x,…

A: Given: Notice that 3x+5 is continuous for x<4 and 13+16/x is continuous for x>4. Now, we need…

Q: Use the graph of f to find the largest open interval on which f is increasing, and the largest open…

A: Given,

Q: 4. Given vectors: ū=(4, 9), v = (-8, 15) and w=(2, 10) b) Write ū as a linear combination of and w.

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Q: Find the directions of maximum and minimum change of fat the given point, and the values of the…

A: Given:      fx,y=9y2e6x The gradient of a function z=Fx,y is denoted by ∇Fx,y The direction of the…

Q: . Calculate the volumes of the solids of revolution as indicated below. Calculate the volume both…

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Q: a. The line through the point P(3,-4,-1) parallel to the vector i+j+k. b. The line through P(1,2,-1)…

A: a) Here, the given vector is: v=i+j+k=<1,1,1> And, to find the line equation which passes…

Q: Q4/ B/ If Ø = (x³y²z) and A = 2xz i - 3y²j+ 3xy²k Find 0(ФА) ay əx the point (2, -1, 3)? at

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 1 Find the domain for each function, stating your answer in interval notation. (a) f(x) = 4x - 3…

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Q: 3. Which of the following is the most appropriate technique to use in evaluating (a) Integration…

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Q: 207 Σ=15 (11). Find sum Σ 15

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Q: a. Show that f has a removable discontinuity at x = 3. x² - 7x + 12 f(x)= x - 3 x = 3

A: Removable discontinuity

Q: Evaluate [ (cos² 0 + 2 csc² 0 + sin² 0) do .

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Q: (a) ƒ (t) = €²t sin (3t)

A: This is a problem related to laplace transform. Based on the general formula and concept we will…

Q: six 3x sin B. Sin³ x + sinx+c Csix 3 x sinx D.six x + A B C

A: We will solve the problem

Q: Find the integration by applying (by part method) f Sin-¹y dy

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Q: Find the limit by interpreting the expression as an appropriate derivative. e2x 1 lim- = i x→0 X

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Q: 2. Line I has the equation y = 3x - 4. Line m has the equation y = 3x + 2. a. Graph each line on the…

A: Given line equation is in form of :               y=mx+c              where m= slope of line…

Q: How much would you need to deposit in an account now in order to have $3000 in the account in 5…

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Q: a. The plane through P(0,2,-1) normal to n = 3i-2j-k

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Q: x² +5 x<2 Given the function f(x) = { -5x + 1 x ≥ 2 (i) Determine the values of the following: (a)…

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Q: Q2/Examine the following surface for maximum, minimum, and saddle points z = x² + y² + xy + 4x - 4y…

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: i can't understand the text. can you please write it on the paper? thank you

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Q: Population Growth A major corporation is building a 4,325-acre complex of homes, offices, stores,…

A: we will differentiate p(t) with respect to t to find p'(t)

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: -4 M -2 2 4 6 (i) Identify the critical numbers of f. (Enter your answers as a comma-separated…

A: Given problem:-

Q: 3. log (x²+x)-log.(x-1)-2 А. 2 Oi J. оо о で В. 16 C..X D. - 16 -

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

Q: Y=t-2√√x + X Find domin and ringe

A: In this question, we want to know the domain and range of the given function.

Q: Find the extrema of the following function on the given interval, if they are any, and determine the…

A: Follow the procedure given below.

Q: A student club is selling t-shirts for Thon every weekend. They found that when selling the shirts…

A: The demand function is linear here as the demand increases on price increases

Q: 1) In the triangle that determined by the points P.Q and R, find a unite vector perpendicular to…

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Q: Consider the following differential equation. (x + 1) + (x + 2)y = 4xe-x dx Find the coefficient…

A: Transient term in a general solution of a differential equation are those terms that tends to 0 as x…

Q: 2) f(x) 3 F 2 8.x

A: Topic = Functions

Q: consider the function f, such that f and f' are continuous for t ≥ 0 defined by: (27t-28 0<t<2 f(t)=…

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Q: Find the average rate of change of f(x) = 8x² − 4 on the interval [5, a]. Your answer will be an…

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A: Topic = Derivative

Q: a. S ((e'+4)²-9)3/2 -dt

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Q: Write the relations and convert polar to Cartesian coordinates of ( 1, 45° ), then draw the point…

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