Find the distance of the point (4, 2, −4) from the line r(t) = (−1+ 2t, 1+ 2t, 7 – 3t). Answer:

Q: Write an equation for the polynomial graphed below 5+ 4+ 3+ 2 -5 -4 -3 -2 -1 -1 y(x) = -2- -3 -4 -5…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: For each equation, solve for X, Y, and Z. 1. 2X + 4Z 1/2Y

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Q: Solve the inequality involving absolute value. Enter the exact answer in interval notation. To enter…

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Q: Consider the ellipsoid x² + 44²³ +2²2² = 18 Find an eg. the tangent plane to ellip sord at the point…

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Q: 4 = √² 43 √8-7x8 dx

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Q: A water storage tank for crop irrigation holds 800 gallons of water, and has been draining from the…

A: To find the slope of the secant line.

Q: find all value[s] of a, b, c, or k that make the function. Continuous everywhere. 10. 2 g(x) = √(x²…

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Q: Question 12 What is the equation of the line that is vertical and passes through the point (3,-2) ?…

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Q: Solve for a. 8. 9a 16 a² =

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Q: The series O True O False Σ (-1)^+1 n=2 n3+1 is absolutely convergent.

A: The given series is summation of (-1)n+1/(n3+1), n from 2 to infinity.

Q: f(x) = √√√5x - 2, g(x) = x² - 25, and h(x) (fh)(x) = 1 x - 3

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Q: For the equation, find the slope m and y-intercept (0, b) (when they exist) and draw the graph. (If…

A: Here we have to find the slope and y intercept.

Q: On the graph shown, what is f(2)? Y 000 -1 02 3 CJ 7 4 C-C x

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Q: Use the function to evaluate the indicated expressions and simplify. f(x) = 8x − 3 f(2x)  =…

A: We have to slove above questions

Q: 3. Determine the Present Value of an annuity which provides payment of $1200 every month for 6…

A: Concept: Future value: Amounts of money or streams of cash flows that are anticipated in the future…

Q: (3) Find the total area of the region trapped between y = sin x and y = cos x and lines x = and x =…

A: The equation of the curves are C1: y = sin(x) C2: y = cos(x) C3: x = π4 C3: x = 214 To evaluate: The…

Q: For 0<t<, a particle moves along the y-axis. The velocity of the particle at time t is g v (t)-cot…

A: U

Q: -1 If cot (sin-¹ √√1-x²) = sin (tan¯'(x√6)), x ±0 then the value of x is.......

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Q: Near the surface of the moon, the distance that an object falls is a function of time. It is give by…

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Q: Find the domainof the function. Give the result in interval notation. f(x) = 7/1−2e^x

A: Given function f(x)=71-2ex

Q: For each equation, solve for each variable in terms of the other variables. y=z/x For example: z =…

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Q: olve the initial value problem dy ¹y = x² + 3 + e²x, y = −1 when x dx

A: Topic:- differential equations and integration

Q: Q. 3. a) Find first and second derivatives of the following functions: +7x y=cot(3t-1) 201

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Q: Match each linear equation with its graph Equation y = x y = y = y = S || Graph Color G a. purple…

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

Q: 2. {(-2,4), (-3,4), (-4,4)} 3. f(x) = 4x + 5 4. N 2 y=5

A: Topic:- function Definition :- If a variable y is so related to a variable x that whenever a…

Q: 0.75-carat diamond is $5150. If the weight and the price of the diamond is linearly related, and you…

A: Given query is to find the weight of the dimond can be bought in $8900.

Q: Classify the differential equation: () Fourth order, sixth degree, nonlinear, ordinary differential…

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Q: For each pair of functions f(x) and g(x), find the following. P(x) = x²³² +6; g(x) = = (a) f(g(x))…

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Q: A 100-m race ends in a three-way tie for first place. The graph below shows distance as a function…

A: Please refer to the image below

Q: +6 x² 2 - 4

A: To write the form of partial fraction decomposition for the given expression.

Q: 5. Find when y-In () A. 2000)+ sin(x) B. In (()) 2² C. xoos (x) + sin (0 D. 2009 (3) sin(x) xsin (x)…

A: Given: y=lnsinxx   As we know that; The Chain rule: fgx'=f'gx·g'x The Quotient rule: fg'=f'·g-g'·fg2…

Q: 2. How many terms are in the sequence? -20, -15, -10, ... 1115

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Q: Your cell phone plan charges a base charge each month plus a charge per daytime minute of usage. In…

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Q: (a) Σ(1/7)", (b) (1/7)" where k is a nonnegative integer, n=k (c) Σ07" /n!, n=0

A: We have to evaluate the value of series in this question.

Q: Consider the following graph. Step 2 of 2: Determine the domain and range of the graph. Express your…

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Q: The population of a town in 1920 was 2700 people. The town's population decreased linearly, and in…

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Q: 32. Given f(x)- vix, describe the concavity of f(x). A. concavity cannot be determined B. concave up…

A: We have to choose the correct option from the given options according to the given information

Q: Let f(x)= -2x^2-x, if x1 Find limx-1- f(x).

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Q: Simplify the expression if ||v|| = 9 and ||w|| = 6. (Give your answer as a whole or exact number.)…

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Q: 4. < y:5

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Q: Graph the solution of the system of inequalities. x + 2y ≤ 8 3x y ≥ 0 y ≥ 2 X - -

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Q: e average rate of change of f(x) = 6x² - 2 on the interval [5, a]. (Your answer will be an ion…

A: Given query is to find the average rate of change for the function.

Q: For 0<t<, a particle moves along the y-axis. The velocity of the particle at time t is given by v…

A: We have to find the acceleration and if particle or speeding up or slowing down.

Q: If x=log b5 and y= log b2, express log 50 in terms of x and y. log +50= (Simplify your answer.)

A: Given query is to express logarithmic term as x and y.

Q: The center of a bicycle wheel is 33 cm above the ground. A reflector mounted on the spokes is 17.5…

A: Given data:- Height of the center of the bicycle wheel above the ground = 33 cm Reflector mounted on…

Q: 58)941

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Q: A graphing calculator is recommended. The displacement (in centimeters) of a particle s moving back…

A: Let's find average velocity and instantaneous velocity.

Q: 2. Determine the common ratio for the sequence: 1, 3, 9, 27, 81, ... a. 3 b. 3 Cc. -3 d./

A: Given query is to find the common ratio.

Q: (1) In the given figure, ABCD is a square of side length 8 cm, BTRS is a square of side length 6cm…

A: Given data:- Part(1); Side length of square ABCD, a = 8 cm Side length of square BTRS, b = 6 cm Side…

Q: Let f(x) = 4x - 9. Simplify each of the following expressions. f(a)= 4a - 9 f(a+h) = 4a +4h-9…

A: Given query is to perform indicated operation on th function.