The solution of 3x-3<6 is O a. x>3 O b. x>6 O c. x<3

Q: If L{f(t)}=F(s), evaluate F(2), f(t) = 1 + 2t - (1/3)t4 O 0.75 O 1.25 O 1.50 O 1.0

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Q: X (2-x) 6(E-x) Htx

A: The solution is given below

Q: Consider the function g(x) =−4 log (−1/3 (x + 2)) + 1. a) Describe, in order and with detail, the…

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Q: Find an equation of the tangent plane to the parametric surface + = Z= Note: Your answer should be…

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Q: Given the following function,f (x)= -x^2-10x-25 , use the second derivative test to decide whether…

A: Now the equation(function) given in the question f(x)=-x2-10x-25

Q: Find the distance of the point (2, 6, 4)  from the x-axis by two methods

A: To find the distance between the point.

Q: Graph the following function, showing all asymptotes and relative extreme points. 16 O TV.W.N f(x) =…

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Q: The masses m, are located at the points P. Find the center of mass of the system. = 2, m3 4, m2 6.…

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Q: Let r(t) = 21²i+tj+t²k. (a) Find the unit tangent vector T(t) and T(3). (b) Find the principal unit…

A: As per our guidelines we are supposed to answer only first 3 sub-parts. kindly repost others.…

Q: Question 1 [ 1 a. [ Use the method of multipliers to find the extreme value(s) of f(x, y) = x² + y2…

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Q: y=x² + 8x - 9 -intercept: (x, y) = -intercepts: (x, y) = (x, y) = (smaller x-value) (larger x-value)

A: Given query is to find x and y intercepts.

Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary Integer…

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Q: Suppose f (x, y) = 25 −4x2−3y2. Calculate both fx(1, −1) and fy(1, −1). Sketch (by hand, or, better,…

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Q: Q4 (a) Calculate the surface integral: [] (² + (y² + 2yz) dS where o is the first octant of the…

A: To evaluate the surface integral Given plane 2x+y+2z=6

Q: Sketch the graph of the quadratic function. f(x) = 3x² + 2 No Solution → Help vertex -10 - -8-7-6-5…

A: We need to draw graph.

Q: A cube of ice is melting so that each edge is decreasing at the rate of 2 inches per hour. Find how…

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Q: If f(t) = (t² + 4t + 2) (7t² + 5), find ƒ' (t). Find f'(1).

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Q: Convert the point (ρ,θ,ϕ)=(6,11π/6,π/2) to Cartesian coordinates. Give answers either as…

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Q: Let f and g be functions satisfying that f(1) = 3, g(1) = 4, ƒ'(1) = 1, g'(1) = 5. For the following…

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Q: 4. Coffee at temperature 180°F is cooling in a room with constant temperature 75°F. If it takes for…

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Q: You have been asked to design a rectangular box with a square base and an open top. The volume of…

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Q: Graph the function showing all relative extreme points and inflection points. f(x)=√√√x6 + 4 ++ 2 3…

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Q: The graph of f is given. Find the following or write d.n.e. if it doesn't exist. If a limit is…

A: Consider the function

Q: Given three points P (1, 4, 6), Q (-2, 5, -1)  and R (1,  -1, 1) Find a vector perpendicular to the…

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Q: The integrating factor of the given DE are already given below. What is the value of “n” ?…

A: We need to find n.

Q: Find the interest rate needed for an investment of $9,000 to triple in 7 years if interest is…

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Q: Parameterize the plane that contains the three points (-2,-2,-2), (-12, 2, 12), and (0, 35, 30).…

A: To find the parametric equation of a plane containing three points (-2,-2,-2,), (-12,2,12) &amp;…

Q: Given the function of two variables ƒ(x, y) = 4x³ − 60x² + 12xy² − 24y² +3. - - Find and classify…

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Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

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Q: Calculate the Taylor series for 1/x about 1. O 1+ (x + 1)(x-1) ²+ (x+1) ³-... ○1-(x-1) + (x − 1) ²—…

A: We know Taylor series expansion of 1/(1+x) is given by, 1/(1+x)= (1+x)-1= 1-x+x²-x³+x⁴-....

Q: 1. Rewrite log(100) = x as an equivalent exponential equation. 2. Rewrite 4* = 64 as an equivalent…

A: 1  log100 = x equivalent exponential function  for exponential function we take both side…

Q: Find all values of c such that fis continuous on (-∞,). C= 7-2², a se - ذکر (smaller value) (larger…

A: Given query is to find the value of c so the function is continuous for the provided interval.

Q: x=2x+1 y -2 4 3 2 > 2

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Q: Evaluate the integral using the following values. 6 6 6 [°x³ dx = 260, ["x dx = 10, [° dx = 2 + 6 (³…

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Q: 3x lim x→∞ √x²+1

A: We can evaluate the limit as below.

Q: ind the solution of the given initial value problem. y(4) 10y" + 25y" = 0; y (1) = 8+e5, y'(1) = 6…

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Q: Q2. If F = (x² - y² + 2xz)ī− (2xz − xy + yz)j + (z² + x²), find the divergence of curl F and curl of…

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Q: Calculus Question

A: Disclaimer: Since you have asked multiple question,we will solve first for you.If you want any…

Q: find the derivative of V(t)=260e^(0.6298t

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Q: Find the x-values (if any) at which is not continuous. Which of the discontinuities are removable?…

A: topic- limits and continuity

Q: The interest rate for a savings fund was 3.80% compounded semi-annualy for the first 4 years and…

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Q: Needing

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Q: Identify the surface y − 3 = x² +.

A: Solution: Given data, y - 3 = x2 + z2

Q: wwww To find the slope of the tangent line to y = ln(x²) at the point (1,0) we must find the…

A: Recall: Slope of the tangent line

Q: Find the function f(x) such that f'(x)=e^(3x)-6x+2 and f(0)=1. Thank you.

A: We need find the function f(x) such that f'(x)=e3x-6x+2 and f(0)=1

Q: Find any intercepts. y=x√ 16x² y-intercept: x-intercepts: (x, y) = (x, y) = = (x, y) (x, y) ||…

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Q: Let f(x) be defined by f(x) = 3x² + 5x + 2. Find the slope of the tangent line to the curve y = f(x)…

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Q: Let f(x) be defined by Find f'(1). f(x) = (2x - 1).

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Q: 5. Determine the area below f (x) = 10 - 2x² and above the line y = 3. 11. 6. Determine the area…

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Q: Find f   f '''(x) = cos(x),    f(0) = 7,    f '(0) = 6,    f ''(0) = 5

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