analyze the function f(x) = * +19 if <10 I 2 10 z +14 if # 2 10

Q: Find the equation of the line tangent to the graph of f at the indicated value of x.  f(x)= 17e^x…

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Q: A bacterial culture grows according to the formula P = Poat. If it takes 9 days for the culture to…

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Q: Directions: Show all your work neatly and in order. 1. Find the mass of the solid E bounded by the…

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Q: 6. $2 wwwage 2+1 3335

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Q: Find the slope of the curve x3 = (y - x2)2 at (1,2).

A: Topic:- application of derivatives

Q: . 6. Consider the function f(x) = r³ - 2x2 defined on the interval [0, 1]. Find the point(s) on the…

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Q: Consider the function f(x) below. At what value(s) of x are the inflection points? Enter answer…

A: for inflrction points  put   f''(x)=0d dx(xn)=nxn-1d dx(constant)=0

Q: options Yart 1. Find Sin(t) part 2. find cos (t) 10 10 options 8 ㅋ 능 None 10 ㅋ 10 8 3. 10 4.…

A: Topic- unit circle WE are given a point on the unit circle as -810,-610we know that on unit circlex…

Q: The equation N (t) 550 models the number of people in a town who have heard a rumor 1+49e-0.7t after…

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Q: Calculate the limit for the function f(x) = x + 4 over the interval [0, 4]. Verify your answer by…

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Q: Show that the function f(t)=√t+√√1+t-4 has exactly one zero in Solve the equation √t+√√1+t-4 = 0 to…

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Q: A function contains the following ordered pairs. ((0, -8), (1, -6), (3, -2), (4, 0), (5, 2)) Which…

A: To find the function: Find a general rule satisfied by all the elements .

Q: 2. x² dx |x2+16

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Q: Consider two nonnegative numbers x and y where x + y = 13. What is the minimum value of 2x² + 12y?…

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Q: + on 0 = -1/3 cohere 10404190 Find Sin 2 0

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Q: Find x. Round your answer to the nearest tenth of a degree. 15 x 12

A: As we know from the trigonometric ratios:…

Q: Use a calculator to solve the following equation for on the interval (0, π). cot (0) =1/2

A: cot(θ)=12tan(θ)=1cot(θ)=2tan(θ)=2θ=tan-12θ=63.4349

Q: Question One (a) Let U = 3i-j-4k and V = -2i+4j-3k. Show that U-V is commutative but U x V is not.…

A: “Since you have posted multiple questions with multiple sub parts, we will provide the solution only…

Q: If 0 satisfies the inequalities sin (0) > 0, sin(0) cos(0) > 0, in which quadrant must lie? 1.…

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Q: If t = 3' a) sin t 1. 39463NT 2.0 3. 5. 7. 6. None of these 1 √2 005 (part 2 of 3) 1 1.1 2. 2936 co…

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Q: Using test points from the original function give where the function is i 0x1 0x1 Ox>-3 Ox 1 x < 1

A: Solve this function by taking derivative greater than zero

Q: Find the equation of the line tangent to the graph of f at the indicated value of x.  f(x)= 4+7ln;…

A: Given query is to find equation of the tangent.

Q: Find the domain of the function using interval notation. f(x) = -2x (x-2)(x-7) To enter oo, type…

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Q: 12 2 √x - 3 ах

A: ∫3122x-3dx

Q: 1.1. Evaluate the following integrals: a. ²x dx b. (2x+3)√2x-1 dx

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Q: S sin² (x) cos(x) dx

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Q: solution to evaluate 3 2+1 y-1 ГГГ x + y2 dx dy dz ? Z 3 4 Ⓒ √ ²² - ² - ² + + 2+1 A 6 2 2 В 3 o fl с…

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Q: Consider the solid obtained by rotating the region bounded by the given curves about the line x = 3.…

A: figure:-

Q: The following function is continuous at x = 0. f(x) = ex, { 9x² + x + 1, x < 0 x≥0

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Q: Give the standard equation of the circle satisfying the given condition. a. Contains the point(-2,0)…

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Q: 4. Let (n) be an increasing sequence of real numbers. Assume, furthermore, that (x₂) has a…

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Q: Esc [3] Use a first derivative test with a well written conclusion to state the local min and max…

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Q: Give the exact value of each expression in simplest radical form. 33.) a. cos 45° 34.) a. sin(-45°)…

A: Since you have posted multiple questions, as per guidelines we are supposed to answer only first…

Q: = x³ +. 5. f(x) = 忘 3x = y + 4 = U x + 2y 6=0

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Q: In (ecos5x) dx

A: Given query is to find the integral.

Q: b) Ln=1 Inn n2

A: Given query is to find series converges or diverges.

Q: 7. (a) Let f(x) = 5x5 + x¹ − 2x³ – 1. Explain why f is continuous on (-∞, ∞). (b) Show that f(x) has…

A: We know a polynomial function is continuous in the whole real number plane. If f(x) be a continuous…

Q: a. Solve the logarithmic equations. 1. log, 64 m 2. loggn=3 3. log, 4096 =3 4. 10g329=3 b. Study the…

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Q: Problem 10. (a) an = n³ n³+1 Determine whether the sequence converges or diverges. (ln(n))² (c) cn =…

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Q: n^3/n^3

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Q: Consider the following. 300 (1.025) 5 = 1100 (a) Find the exact solution of the exponential equation…

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Q: 3. Use cylindrical coordinates to evaluate 3 √9-x² [² [³²*² [√²²+³ (2² + y²) ³¹ dzdydz 0 Jo

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Q: What is the size of the payments that must be deposited at the beginning of each 6-month period in…

A: Given query is to find the semiannual payment.

Q: Find the linear approximation of f(x) = ln x at x = 1 and use it to estimate ln(1.4). L(x) =…

A: Given function:- fx=lnx

Q: Suppose a product's revenue function is given by R(q) 3q² + 200g. Find an expression for the…

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Q: 2. Obtain the general solution by the indicated technique: 2.2 y'=x-2ycot 2x linear equation of…

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Q: Verify Green’s theorem in the plane for R C (3x 2 − 8y 2 ) dx + (4y − 6xy) dy, where C is the…

A: Given:

Q: The function f(x) = 2x³ - 45x² + 300x + 9 has one local minimum and one local maximum. Use a graph…

A: Topic - Local extrema's of a function We are given an equation, f(x)=2x3-45x2+300x+9And it's known…

Q: 6 S(2 − |x + 4|) dx 3

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Q: Describe and sketch the following set of points defined by the following conditions. (x + 2)² + y² +…

A: Given : we have a surface     (x+2)2+y2+z-12=9 and with the conditions :   x≥-2, y≥0, z≥1    To find…