1. Determine vector and parametric equations for the line with z-intercept 4 and is parallel to the line with parametric equations: x = 1, y = 2 + t, and z =- 3 + t

Q: 25. Determine the value of k so that f(x) is continuous. Show work. x² - k 2x² + 7x-22 x≤2 x>2 x-2…

A: A function f(x) is said to be continuous at a point a, if Left hand limit and right hand limit and…

Q: Write out the form of the partial fraction decomposition of the function (as in this example). Do…

A: Consider the given expression."As per the rules, we are supposed to answer the first question and…

Q: 2) Where on the curve f(x)= 1 1 + x² does the tangent line have greatest slope?

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Q: Southern Traditions sold the home decor division of their company 5 years ago and immediately…

A: Given:We are required to find:

Q: Find the limit or state that the limit does not exist. 2x²-2x-24 9-x lim X-3

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Q: if f(x) True = False 1 {} if x # 0 if x = 0 2 then_lim ƒ(x) = 0 x 0

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Q: Find the area of region bounded by generated curves. Do not forget to show your graph. 10. R is the…

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Q: 5. Find the absolute maximum of f(x) = x¹e-77 on [0,4]

A: The given function is,

Q: Evaluate the integral. 2 0 X-2 -dx 2 x - 4x + 5 12-20 X-2 dx≈ x² - 4x + 5 0 (Type an integer or…

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Q: V9-4x2 x2 dx

A: Here we have to evaluate the integral,.

Q: Find the area under the graph of the function over the interval given. y = 2x - x²; [0, 2]

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Q: Let R(x, y) = 0.7x³y² -5x³ +6y², find the second partial derivatives: a²R oy²

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Q: practice question - 11.32 Gwanda has the following equation for a sphere: (x^2) + (y^2) +(z^2) -…

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Q: Consider the function f(x) = (a) Find the domain of f(x). Note: Use the letter U for union. To enter…

A: Note : as our guidelines , we  can solve first three subparts . Please repost remaining parts or…

Q: 9. Given f(x) = x³ - 5x and its derivative f'(x) = 3x² - 5, find the equation of the tangent line to…

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

Q: Compute the surface area of the solid of revolution formed by rotating the bounded region formed…

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Q: Using the definition of the derivative, find f(x). Then find f'( – 6), f'(0), and f'(5) when the…

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Q: You have the following vector : v= You must determine the direction and length of it. You must also…

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Q: What is the period of the trigonometric equation? f(x) = -11 sin(x + ) − 4 Enter your answer, as a…

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Q: ) An object is pulled with a 5 N force at an angle of 30° to the horizontal. Find the horizontal and…

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Q: The position of a baseball (in ft) is represented by r(t) = 55√2ti + (4 + 55√√/2t - 16t2)j. Find the…

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Q: The point P(25, 10) lies on the curve y = √x + 5. If Q is the point (x, √x + 5), find the slope of…

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Q: Evaluate the integral. te⁹t dt Step 1 Recall the formula for integration by parts, which states that…

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Q: dy dx = (y +9)(y-9), where y(0) = 8 The partial fraction constants in the partial-fraction method…

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Q: Find the area bounded by the given curves. = 2x - x2, y = 2x - 4

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Q: Use the Chain Rule to find dt where z = x cos y, x=t, and y = 6t²

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Q: Determine the Cartesian equation of the plane containing these lines: y+10 z+2 L₁: = +70 = 23² and…

A: Normal vectorof the plane would be perpendicular to both the lines L1 and L2. So, parallel to L1xL2.…

Q: Suppose the rate at which the volume in a tank decreases is proportional to the square root of the…

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Q: 2 Use direct Substitution to obtain an undefined expre ther use the method of to simplify &…

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Q: Given the following piecewise function, find the values of a and b so that the function is…

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Q: Find the Jacobian of the transformation a -3u+7v, yu²+ 4v

A: To find the Jacobin of the following transformation.

Q: For what values of x does ƒ(x) = x - sinä have a slope of 1 on the interval [0, π] ? O O K|+ T 4 π…

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Q: Find the slope of the line tangent to the curve y = 5ª³ at x = 1. 5 15 In 5 5 ln 5 O ln 5

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Q: 17. A cylindrical tank with radius 5m is, at this moment, being filled with water at a rate of 3…

A: Volume of the cylinder is given as follows Where r is the radius h is the height v is the volume

Q: Evaluate the following definite integral. Provide your answer below: Lax√812²-81 dx

A: The given integral is 8/[x sqrt(81x2-81)], limit from sqrt(2) to 2.

Q: Find the domain of each of the following functions: g(x, y, t) = 2t - 4√√x² - y² 2 ○ {(x, y, t) | x²…

A: Given the function is:g(x,y,t)=2t-4√(x2-y2)

Q: 1 1. limno 2²+ √1 + t³ dt Note: Do not use L'Hopital's Rule for this problem.

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Q: Prove the trigonometric identity. sec z sin a = sin²x tan z+cot z Drag an expression to each box to…

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Q: Evaluate the integral. 8 S² (4+1)" a dt √₁5 (4+10) 8. dt =

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Q: Suppose xe¹ - 4y = 3x + 1 + le¯¹ and y(1) = -1. Find: y (1) =

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Q: Find the magnitude and direction angle for each vector. • 431-46j (5.-6) 6) RS where R=(3,-1) S=

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: lim (9X+1) ² X→-1

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Q: Set up the formula to find the balance after 12 years for a total of $3,000 invested at an annual…

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Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

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Q: Find the extreme values of f(x,y) = xy subject to the constraint x² + y²-16=0. The extrema are (Use…

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Q: q12.14. Say you know that a sphere has its middle point located at (0,0,0) and has a radius of 2…

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Q: 4. lim (9x + 1)² x→-1 In the following exercises (5-10) use direr

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Q: f = -9i+40j Find: -9f f=i-j g=12i+ 3j Find: -4f-10g u = -9i+4j Find: -5u

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

Q: 21. a) Evaluate the following limits. Show proper steps. 8x²-2x-3 2x+1 a) lim x→→ 2 2x x-0 √2x+1-1…

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Q: State the domain for the function f(x) = log6(-x + 5) + 4: O (-00, 5) (-5,00) O (-∞0,00) O (-00,-5)

A: f(x)=log6(-x+5)+4Find the domain.