A computer password is required to be 8 characters long. How many passwords are possible if the password tore requires 1 letter(s) followed by 7 digits (numbers 0-9), where no repetition of any letter or digit is allowed? CODE There are possible passwords.

Q: Find all critical numbers of of the function f(0) = 2sece+tan@¸ 6 π < 0 < 8π. Select one: a. 0= b.…

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Q: Determine whether Rolle's Theorem can be applied to x²-14 f(x)= on the closed interval [-14, 14]. If…

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Q: The cost function, C(x), in dollars for producing x units is given by C(x)=0.17x²+25x+650.…

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Q: Find the curvature of the curve r(t) = (4t, – 5t³, 4t²) at the point t = 2. Give your answer to 2…

A: Vector calculation is required.

Q: Find 7'' (t), given 7'(t) = (te²t, − cos(5t + 5), 3t ln( − t)). ř'(t) = x, 4 cos(2t) = -6e-2t x,…

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Q: The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the…

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Q: The properties from properties of the integral. A True of the Laplace transform are inherited B)…

A: Solution: Answer - True (A) option is true

Q: The graph of fis shown. Graph f, f and f" on the same set of coordinate axes.

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Q: 3 divided 5

A: Topic- division we are given, 3 divided 5

Q: Question #9 State Trapezoidal rule and use it to approximate the definite integral for the stated…

A: Trapezoidal rule: ∫abf(x)dx= h/2 [f(a)+f(a+h)+...f(a+nh)] h=(b-a)/n , n is the number of…

Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to…

A: We need to find out the arc length of the given curve in the given interval.

Q: Given the vector-valued functions е ú(t) = e5ti + e−4tj + tk - 3ti - 2t²j+ 3k v(t) find d = dt d…

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

Q: Find an equation for the tangent plane and parametric equations for the normal line to the surface…

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Q: Differentiate the function and find the slope of the tangent line at the given value of the…

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Q: 2 sweewe سال

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Q: integral of X^3*sqrt(x^2-4) (trig sub)

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Q: The graphs of a = F 3, y = f(x) (solid) and y = g(x) (dashed) are shown; the graph is not drawn to…

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Q: Find the two x-intercepts of the function f and show that f '(x) = 0 at some point between the two…

A: NOTE: Refresh your page if you can't see any equations. . here the given function is a parabolic…

Q: Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the…

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Q: Use the rules of differentiation to find the derivative of the function. h(x) = 6√x +7√x h'(x) = 1…

A: We will use standard formula of differentiation to solve this.

Q: A function is given. f(x) = 6x - 4; x = 2, x = 3 (a) Determine the net change between the given…

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Q: Given that the directional derivative of f at the point (9,-9, 4) in the direction of a = 4i-4j-7k…

A: This is a problem related to vector calculus. Please follow the procedure given below.

Q: A) In (r + 2) B) 5 r+2 () r+2 5 D) In 5-r Ive the problem. 21) Allan borrowed $4800 from his father…

A: As per guideline we are solve one question ,you can repost other question .   Question no.…

Q: Find the average value and the value(s) of c guaranteed by the mean value theorem for integrals if…

A: This theorem states that a continuous function on closed and bounded interval has at least one point…

Q: Find the total area bounded by the graphs of y = cosx and y = sinx on the interval [0,2π]. O a.)…

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Q: A table of values for a one-to-one function is given. Find the indicated value. f-¹(9) = X f(x) 1 5…

A: Find f-1(9)

Q: 2. Find the absolute maximum and minimum values of f(x, y) D = {(x, y): y ≥ x², y ≤ 4}. 3x² + 2y² -…

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Q: Find the unit vector u in the direction of (2, - 2) Give EXACT answer. You do NOT have to simplify…

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Q: A) Consider the vector field F(x, y, z) = (6yz, 8xz, xy). Find the divergence and curl of F. div(F)…

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Q: 1 5 6 7 8 Previous y 6 S 44 3 24 -6-5-4-3-2-1 -24 031 3 acer -1 Find g-¹ (2). Type your answer...

A: See this solution in below.

Q: A body moves on a coordinate line such that it has a position s= f(t)=12-4t+3 on the interval 0st≤6,…

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Q: m #2: If ƒ(x) − x³ [f(x)]=-2x-12 and f(1) = 2, find ƒ'(1). - oblem #2: Enter your answer symbolica…

A: Given:- fx-x3fx4=-2x-12

Q: 3 Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on…

A: The graph of g(y)=3/y and y belongs to [3,5] is

Q: Let s(t) = 4t³ - 12t² v(t) = = 180t be the equation of motion for a particle. Find a function for…

A: Given: s(t)=4t3-12t2-180t

Q: Evaluate Answer: dt t² + t-30 S₁

A: ∫1t2+t-30dt

Q: Consider the graph of the function g(x): -2- 0 2 (a) √ ² g(x) dx = [2 (b) 6 Sº The graph from x = 2…

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Q: Find the particular solution of each of the following differential equations on the given boundary…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Use cylindrical shells to find the volume of the solid formed by rotating area bounded by the gra…

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Q: cos (3x) - ² (-3sin (3x)) dx

A: Take the integral to be calculated as I1 and then add it to the original integration.

Q: yey + sin(x)+x.ey. dy d.x

A: Given differential equation y.exy+sinx+x.exydydx=0 A differential equation of the form Mdx+Ndy=0 is…

Q: Yall are starting to waste a ton of my time with these wrong answers.

A: For y=1x2, to use differentials to approximate  the change in y when x changes from 4 to 4.125.

Q: 4 3 + kxy¹ − 2x)dx + (3xy² - 20x²y3³)dy = 0

A: Topic:- differential equation

Q: -) such that f'(c) = f(b)-f(a). If the Mean Value Theorem cannot be applied, explain why not. b-a…

A: Given query is to check and applied mean value theorem.

Q: aluate the integral 9x³ , (x + 1)³ te: Use an upper-case "C" for the constant of integration. dx

A: We have to find out the integrate

Q: The figure below represents the function f:x-y Previous X Y 4 00 7 8 10 10 13 Find the value of…

A: We need to find out the inverse f-1(4)

Q: Find the area of the triangle with vertices P(1,5, –4), Q(0, 0, 0) ar R(3, 4, 1). NOTE: Enter the…

A: We have to find the area of triangle .

Q: A 13-foot long ladder is leaning against a house when the base begins to slip away from the house at…

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Q: Separation of Variables Obtain the general solution of the equation ye2x dx = (4 + e2x)dy

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Q: h h •Question 1: Goal Find Derivative don't use quotient rul 8 (5x+2) '

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Q: S² Sxx-6-dx 2 (x²+2 + = ²3 ) dx X-3 Sx x²-x-6 Sx (x+2)(x-3) A X=-2 = [2ln lx+21+31n/x-31] 21n/2+21+…

A: Topic:- algebra