What is the range of f(x) = cos¯¹(0)? A [-] 2 2 B [0, π] C [-1,1] D (-∞, ∞)

Q: Find a rational zero of the polynomial function and use it to find all the zeros of the function.…

A: f(x) = X3+7x2+ 8x + 2

Q: Find if the series converges and if it does and you can find the sum, find it:

A: NOTE: Refresh your page if you can't see any equations. .

Q: 4 X Find f'(-2) if f(x) = 5 - 4x. f'(-2)= (Simplify your answer. Type an integer or a fraction.)

A: given,  f(x)=x45-4x

Q: Question Given (-6 (-62⁰ - 42³ + 5x – 3)dx, evaluate the indefinite integral. Do not include +C' in…

A: Given    ∫(-6x6-4x5+5x -3)dx   We need to integrate this.

Q: Let lim f(x) = 8 and lim g(x) = 6. Use the limit rules to find the following limit. x-2 X-2 lim X-2…

A: given, limx→2f(x)=8  and limx→2g(x)=6let   B=limx→2f(x)+g(x)4g(x)

Q: Find the area of the region enclosed by the given curves. y = 16 − x2, y = x2 − 2.

A: Equation of curves,

Q: Find an equation for the line tangent to the curve at the point defined by the given value of t.…

A: Given equations x = tan2t - 1 y = cot( t ) at t = -π4

Q: 3. y" - 4y' + 4y = 6e²t, y(0) = y'(0) = 0

A:

Q: Find the directional derivative of the function f(x, y) = ln (x³ + y) at the point (-2, 2) in the…

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Q: 4 B C D 1 3 t ST 3 7 T 4

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Q: Consider the function f(x) = 8x + 6x¯¹. For this function there are four important intervals: (-∞,…

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Q: Find the volume of solid generated by revolving the region bounded by the curves y = √x +2.y=x-2x =…

A: The region bounded by curves y=x+2 ,y=x-2,x=-2 and x=2 Graph

Q: Evaluate xy dx + ²dy, where C' is the rectangle with vertices (0,0), (1,0), (1,4), and (0,4) f zy³dz…

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Q: The curves r₁(t) = (-2t, t°, -t²) and r₂(t) = (sin(3t), sin(5t), t = π) intersect at the origin. 75…

A: NOTE: Refresh your page if you can't see any equations. . which intersect at the origin. Now,…

Q: 3. Find the arc length of = 2 ¹ + (x)² = ( x² + x^²¹) ². + x¯¹ for 1 ≤ x ≤ 2. Hint: Show that 1/2…

A: y= (1/12)x3+x-1 for x belongs from 1 to 2 We have to find arc length of y for given interval

Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. h'(x) =…

A:

Q: -2x C. At what values of x does f(x) = local maximum and/or local minimum ? xe have a

A: The function is given by fx = xe-2x Todetermine: the values of x at which the function have a local…

Q: Suppose a Cobb-Douglas Production function is given by the following: P(L, K) = 60L0.75 K-0.25 where…

A: To find out cost minimization:-

Q: Part 1 A​ firm's marginal​ profit, P, as a function of its total​ cost, C, is given by the equation…

A: dP/dC=−240/(C+1)^3/2 And  P=​$12 when C=​$63.

Q: 1 x²√√x² +9 S dx

A: Using the integration u-subsituation method

Q: Given that tan(8) = 1.13, match each of the trigonometric functions with their value. sec(8) cos(8)…

A:

Q: y = x4 -8x², y = x²

A: Curves y=x4-8x2              y=x2 We start by finding their points of intersection .…

Q: Use Stokes' Theorem to evaluate -49 6. F. dr where C is oriented counterclockwise as viewed from…

A:

Q: b Answered: 63 4-3- y = g(x)- TR X…

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Q: S₁ x cos(1-2x)dx

A:

Q: Sin ² (x20) dx Choose the correct value of In ² (x20) dx below. A. x In ² (x20) -40x In (x20) +20x+C…

A: ∫ln2x20dx

Q: Q8 Find the integral: a√x + 1 da. Show all your work.

A: ∫xx+1dx

Q: The validity of the​ Weber-Fechner Law has been the subject of great debate amount psychologists. An…

A:

Q: Evaluate the integral. -3 to - 3 +8 dx= 11 dx

A:

Q: T3(x) =

A: Use Taylor series general formula

Q: efi Use Green's Theorem to evaluate F-nds, where F =(√x+3y, 2x + 3y) C is the boundary of the region…

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Q: Write the expression in rectangular form, x + yi, and in exponential form, reio (-1-i)³ The…

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Q: Find the directional derivative of the function f(x, y) = ln(x + y³) at the point (3, 2) in the…

A: We are required to find: The directional derivative of the function f(x,y)=ln(x5+y3) at the point…

Q: I Suppose that f(x, y) = at which {(x, y) | 3 ≤ x ≤ 5,2 ≤ y ≤5}. y D Then the double integral of…

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Q: Given the points if P = (2, -3, 7) and Q = (4, 2,5), a. Find the components of P. b. Calculate the…

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Q: Find the area of the region. one petal of r = 4 cos(30)

A: The region bounded by one petal of r=4cos3θ

Q: Write an equation for a rational function with the given characteristics. Vertical asymptotes at x =…

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Q: The volume of the solid of revolution obtained by rotating the area enclosed by the curves: y = √…

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Q: The sales of a new high-tech item (in thousands) are given by S(t)=90-80e 0.3t where t represents…

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Q: Find the intervals on which the graph of f is concave upward, the intervals on which the graph of f…

A: fx=-x4+16x3-16x+19

Q: Find g[f(-4)]. 2 f(x)=x²-1; g(x) = -5x-1 g[f(-4)] = (Simplify your answer.)

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Q: Find the length of the curve r(t) = = (5 cos (5t), 5 sin(5t), 4t) for 0 ≤ t ≤9 Give your answer to…

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Q: graph one period of function showing amplitude, phase shift, period and frequecy

A: y= 2sin3(x-30 degrees)   simplify y= 2sin(3x-90 degrees)

Q: Replace the Cartesian equation xy = 7 with an equivalent polar equation. The equivalent polar…

A: Given equation is: xy=7  We know that ,to convert Cartesian equation into polar equation. Put…

Q: Find the mass of a lamina bounded by y = 4√√x, x = 9, and y = 0 with the density function o(x, y) =…

A: Given that lamina bounded by y = 4x, x=9, y=0  with density function σx,y= x+2. We have to find the…

Q: S COS(T) - Y y O e - 2. Oe Oe - 1. O-e. O 0. O DNE. dy =

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Q: Given f(x, y) = 6x² + 1x²y¹ + 6y5, find fz(x, y) = fy(x, y) = fax (x, y) = fry(x, y) =

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Q: Find the maximum rate of change of the function f(x, y) = 4y³ I at the point (2,1)

A: fx,y=4y3x

Q: The matrices A, B, and C are defined as follows: 4 A = -(-²) 0-( -8) c-(i) B Carry out the indicated…

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Q: S In2 x dx

A: