Given that f(x) (a) f(g(0))= (b) g(f(0))= = 8x + 8 and g(x) = 8 x², calculate -

Q: 13. The function has the 1st derivative given by f'(x) = -x(x+3)(x - 1)²(x+4)³. What are the x…

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Q: Differentiate: y dy dx 11 In(x) 26

A: Let's find derivative of given both  problem.

Q: er the equation of the parabola graphed below, using the vertex form y = a (x-h)²+k. y = (-1,0)…

A: To solve the following problem using graph

Q: Evaluate the integral by making the appropriate substitution: u = dx (6x +4)³ 11 Submit Question…

A: Given query is to find Indicated integral

Q: Let f(t)= e¹t2 + cos(3 t) e5t then е L{f(t)} = ? O F(s) = F(s) = 2! (S-1) (s²+9) (s-5) F(s) = + 2! S…

A: Use property of Laplace

Q: Find the Taylor series (general form) of f(x): 1 X centered at x = 1.

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Q: 2 sin 0, 3. Find a "cartesian" equation for the circle which is given by the polar equation r = and…

A: The polar equation is  r=2 sin θ

Q: Find the area under the given curve over the indicated interval. y=x²: [0, 5] The area under the…

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Q: d (sec-¹(2)) is equal to O O 1 2 √√4-1 1 In 2√4-1 O 1 √4¹-1 In 2 √4-1 In 2 2√4-1

A: Solution: ddxsec-1(2x) Apply the chain rule : df(u)dx=dfdu·dudx f=sec-1(u), u=2x =ddusec-1(u)ddx(2x)

Q: 4 Let f(x) = 2 - 1 and g(x) = 7 O O 7(x - 1) 4x O 7 4- +² O 7x² 4x - x³ 07x - 1 4 7x 4- x² + Find…

A: Given query is to find indicated function.

Q: Find the most efficient substitution for the integral textbook. Enter f(2). Answer: e²x dx 1+Ax /₁…

A: we know   ∫11+x2dx=tan-1(x)+cdexdx=exI=∫e2x1+e4xdx

Q: Differentiate. g'(0) = g(0) = eº (tan(0) — 0)

A: dexdx=ex  d(tanx)dx=sec2xd dx(a.b)=adbdx+bdadxgiven  g(θ)=eθ(tanθ-θ)

Q: (a) Find the velocity v (t) - |a| (b) Find the acceleration function. 71 sin (a) e7 [7 sin(81) + 8…

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Q: If A and B are constants, find where f''(x) = 0 I= f(x) = 9 Ar² + 7. Bx³

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: (n^ + n)(n^ − n) = (n)H = H'(u) = Differentiate.

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Q: 13) y = [X²+2x-1'; dy = ? A) X+ Xt y B) 4y (x+1) (XH) (x²+2x-1) 3/2 D) - () ㅗ 2\x²2x-1

A: Question number 13 solved

Q: (d) Given the graph of f (x) below (blue), select the correct graph of the transformation y = f(x +…

A: To do transformation on given function f and determine its graph.

Q: Find dy dx by implicit differentiation. x²+2x+11xy-y²= 16

A: We have to find dy/dx.

Q: This problem is concerned with the squeeze theorem. Suppose that is a bounded function and satisfies…

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Q: 23. lim 848 5√√x+3 1 - 17x²

A: Solve limit

Q: hether the matrix is invertib

A: We have to consider the given matrix is invertible or not

Q: Given the absolute function graphed below, find the following: -3 -12 a) Domain: b) Range: 6…

A: Answering the first three subparts of the question,

Q: Given that f(x) = x² – 13x and g(x) = x + 6, find: a) (f + g)(4) = b) (f - g)(4) = c) (fg)(4) = d)…

A: Topic = Functions

Q: Find f(a), f(a+h), and the difference quotient f(a+h)-f(a), where h * 0. h f(x) = 4 - 2x + 7x² f(a)…

A: Let's find all given function value.

Q: Differentiate the function. 1 g'(x) ॥ g(x) 1 2x 2 = = VX + X 1 5.( ) *

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Q: Show that the eigenvalues of A-¹ are ¹. 27 Show that A"x = λ"x if Ax = λx.

A: Given λ is an eigenvalue of A. So there exists a nonzero vector x such that Ax=λx....(i) 1.Since A…

Q: Find the area of the given region. Use a graphing utility to verify your result. y = 1 + In x³ X y 1…

A: We can find the area of the region .

Q: Suppose g(x) has a range of [-2, 6]. Determine the range of the transformation y = 2g(x) - 5 O [-14,…

A: Given: Range of g(x) is [-2,6]

Q: Assume 0<x< Use logarithmic differentiation to find O (sin z)(zcot 2 + ]n(sin z)) O (sin x) (x cos x…

A: To find the differentiation of given function.

Q: Convert the following equation to Cartesian coordinates. Describe the resulting curve. rsin 0=6 The…

A: in cartesian  coordinates  x=rcosθ  and  y=rsinθgiven  rsinθ=6

Q: What are the magnitude and direction of w = (-10, -12)? Round your answer to the thousandths place.…

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Q: he effectiveness of a certain medical injection is modeled by 0.03t(70−t), where t is time in…

A: Let effectiveness denoted by E E = 0.03t( 70 - t ) E = 2.1t - 0.03t2

Q: Integrate: 4x√x - 1dx Question Help: Video Submit Question Jump to Answer + C

A: Given query is to find the integral.

Q: 23) Find values for a, b and Y in Y dx to represent the shaded area below. y = f(x)

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Q: Use the Divergence Theorem to calculate the flux of F across S, where F = zi+yj + zxk and S is the…

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Q: In the figure, the regions A, B, C and D bounded by the x-axis and the graph of f have the following…

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Q: Question The Laplace transform of the function f(t)= e 2t+2t4 is Select one: O True O False L {f(t)}…

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Q: Determine which graph corresponds to the area enclosed by the curves y= O O Find the area of the…

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Q: 2) Consider the function: f(t) = 0, e-kt, 0 < t < 1 1 ≤t. A) Use the definition to find F(s) =…

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Q: Let* (t) = (-5t² +4,t³-14, 21³). Find the line (L) tangent to (t) at the point (-1,0,2) L:(x, y, z)=…

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Q: Use the piecewise defined function to answer the questions below. 7√x²+1 f(x) = 28 X+8 (x+5)(x-19)…

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

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Q: 7. Find the area of the portion of the plane that is inside the triangle with vertices (0,0,4), (8,…

A: See this solution in below.

Q: = Find the area of the region that is completely bounded by the two curves f(x) = g(x) = x² − 7x +…

A: Given query is to find the area of the region.

Q: 11 Rewrite sin (x+ 11) in terms of sin a and cos x. Simplify your answer. Enclose arguments of…

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Q: Suppose that f'(x) = x*. Match the concavity for the curve y = on (1/5, 1/4) on (3/10, 2/5) on…

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Q: Coefficients Linear in two variables. Find a general solution of the differential equation (2x -…

A: Let's solve given differential equation.

Q: Solve: y (cosx)= (9+ y²)

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Q: The cost function for a particular product is given by Cx) - 0.0001x³ +0.018x² +26.7x + 190 dollars,…

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Q: Question 22 Integrate: 7 x² +4² -da Question Help: Video Submit Question V > Jump to Answer

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