The graph off-1 is given below. Graph the tangent line to f-1 at the point P(1, 1) for f(x) = -x³ + x + 1.

Q: Find two functions f and g such that h (x) = (fog)(x). h(x)=√4x-1 Select a function for f(x) and a…

A: h(x) = (f*g)(x)  it means  h(x) = f(g(x)) we have to make it  h(x) = 4x -1

Q: Evaluate the integrals: 1. f2-* dx √x (ln 2-1) dx 2.

A:

Q: Q17 Suppose f(x) Is find f(e). Choose a) 3 b) 1/3 a Solution of your c) 1 d) answer 9 2 y'= (y+3)² x…

A:

Q: Express (3*) dx as the limit of a sum. 1

A:

Q: Given L1 and L2 who's parametric equations are: Given. I).Show that L1 and L2 intersect at a…

A: Concept: The calculation of the angle between two lines in a three-dimensional space is comparable…

Q: Given the table of values below, find h'(1) if h(x) = Xx 1 f(x) 1 g(x) (x) 2 f'(x) 3 g(x) -3 g'(x)…

A:

Q: X. 2x4 x³x²+x-1 S = C -dx

A:

Q: The length of the curve r = sin² for the period 0 ≤ 0 ≤ π is 8 O 6 None of them O 2 O 4 O

A:

Q: sinx13 cOSX on the interval [0, π] Average value=

A: According to the company rule we can answer the first question and rest can be reposted.

Q: True or False: We have Select one: O True O False 8 So vid 0 √xdx = 12.

A:

Q: 18. 19. 20. The curve y = x³ + 3x² − 2 has an inflection point at the point: a) P(-1, -2) b) P(-1,2)…

A: Use inflection point concept

Q: By using a cosine function find a formula representation of the graph in the given figure. Use ()…

A:

Q: Let a be a real number. Evaluate the following integral: Sofyx + y dxdy y-1

A: This question is related to double integration, we will solve it using given information.

Q: Write an equation for the polynomial graphed below. You can leave the function in factored form. -5…

A:

Q: If S₁₁¹-² x² + y² dxdy is changed to equivalent integral in polar coordinates, then the resulting of…

A: Let's solve double integral.

Q: fins the voulme of the solid with cross-sectinal area A(x).   A(x) = x+2. -1 <x<3

A: fins the voulme of the solid with cross-sectinal area A(x).   A(x) = x+2. -1 &lt;x&lt;3

Q: For the function f(x) = cot³ (x): • Rewrite f (x) as a composite function f(x) = g(h(x)). • How did…

A: We have to solve given Questions.

Q: Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate…

A:

Q: 2. Find the unit tangent vector for the curve r(t) = (t cost, tsin t).

A:

Q: 2. (cos x cos y cot x) dx + (- sinx sin y) dy = 0

A:

Q: 4 B 6) Find the value of cot t if cos t = a) √/3 O b) 01/12 c)0 V₂ d) 0 1 Previous Next - and T < t…

A:

Q: Minimizing surface area. Open Air Waste Management is designing a rectangular construction dumpster…

A:

Q: lim (√n²+ n-n)

A:

Q: (A) 3y²ex+y²dx (B) 3) [3y²e²+ y² dx 0

A: In both integration we have to integrate with respect to x . So we treat y as a constant &amp; solve…

Q: Determine the derivative of the following functions. y = 4x sin^-1 (3x-9)

A: Determine the derivative of the following functions. y = 4x sin^-1 (3x-9)

Q: Consider an object moving along a line with the following velocity and initial position. Assume time…

A:

Q: For any vector v and positive constant c, the vector is a vector in the same direction as v. Select…

A: This question is related to vectors, we will solve it using given information.

Q: [5] The graphs of f(x) (in red) and f'(x) (in blue) are shown. Determine.... 1. [4.1, 4.2, and 4.3]…

A: Let's solve.

Q: a) Find a and c so that (a, 1, c) is a point on the line through (0, 2, 3) and Justify your answer.…

A:

Q: Evaluate the following integral using change of coordinates: SR S x³ + xy² dedy where R is the…

A: Solution given below

Q: The graph below shows f(x). Use the graph to estimate (f-¹)' (4). You may enter an exact answer or…

A: We have to solve with the help of graph.

Q: 9. S²₁ 22x Ẵ é đi

A: Here is the method to integrate by parts,

Q: 10. Use the definition of the limit of a sequence to prove that (3n+1 lim 2n + 5/ for all positive…

A: we have to use definition of limit of sequence.

Q: The Taylor series for f(x) = e² at a = 3 is Σ(x-3)" Find the first few coefficients. CO C1 C₁ = C2…

A: The objective of the question is determine the coefficient of Taylor series.     Note -  As per our…

Q: F(x)=5cos(3x) on [-pi, pi] What intervals is f increasing and decreasing?

A: F(x)=5cos(3x) on [-pi, pi] What intervals is f increasing and decreasing?

Q: es of a force funct joules 0 6 9 12 15 18 f(x) 9.6 9.1 8.5 8.3 7.8 7.5 7.2

A:

Q: Find the area enclosed by the loop of the curve y² = x (x - 1) ². Consider the attached graph.

A:

Q: Hos solv the step? ₁0.9062cos (1-√3x) d x [sin (1-√√3x) -√√3 √³x)] -0.1 -0.1 sin (1-√√3a) - sin…

A: We have to solve the step  sin(1-√3a)= -0.9556+0.9210

Q: 3. 4. 5. π X dx sin() co₂ (:) ª 2x - 1 4x1 dx 8. 9. (x-1) √x dx _2_2x dx 10. S√₁-2² a x dx

A:

Q: 58. Medicine. A medication is injected into the bloodstream where it is quickly metabolized. The…

A:

Q: The population of a city is 89​,000. If the population grows continuously by 3.2​% per​ year, in how…

A:

Q: Find the area between the curve on the given interval  y= x^3 , y= x^2-1, 1 < x < 3

A:

Q: A lighthouse, L, is on an island 8 mi away from the closest point, P, on the beach. If the…

A:

Q: + 3x + 2)dx 2.√ √x(x² – 3x

A: The integral is  ∫xx2-3x+2dx

Q: and and the following table: to = f(to) = A. If we use n = 4 subdivisions, fill in the values: At =…

A:

Q: 1. C (5,0) =( 5) = 2. C (4,4)=() = 3. C (6,2)=() = Evaluate the following

A:

Q: e. f. dx x log10 x [x²: x² sin x dx

A:

Q: La longitud de un rectángulo es tres veces su ancho. Si el perímetro del rectángulo es 72 in, ¿cuál…

A: Length of rectangle be l

Q: If w = f(r, s, t), r = x-y, s=y-z, t=z-x then dw ax Əw Əw 0 O -1 -2 1 2 O

A: Use composite function to solve this problem.

Q: A conical tank has height 3 m and radius 2 m at the base. Water flows in at a rate of 2 m³/min. How…

A: