1. In three-space, find the intersection point of two lines ₁ = (−1,1,3) + t(1,2,-2) and r₂ = (5,3, -3) + s(-2,1,1) where s, t E R.

Q: 5. Consider the following function: f(x)= e* (3x³) a. Determine the critical points of such function…

A: For a function f( x ) , we can find  critical points by f'( x ) = 0  Inflection points by f''( x ) =…

Q: Q10 Consider the piecewise function below. x ≤ 0 f(x) = x² 3, - 19 - X X " Definition: lim f(x)…

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Q: Write each of the following principal values in Cartesian form (i.e., in the form a + ib where a, b…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Find the average value of the function f(x)= xex² over the interval [0,2].

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Q: 4x² +28x + 25 (x + 7)(x + 2)² 1 x+7 B (x + 2) 3 (x + 2)²

A: NOTE: Refresh your page if you can't see any equations. . use the partial fraction…

Q: fees

A: Solving the problem

Q: If land that can be farmed L is eroding continuously at a rate of 4.5% per year because of changing…

A: “Since you have asked multiple questions (a and b are not related to each other), we will solve the…

Q: Consider the following. ) = \, P(7, 1), u = i + j y 5 (a) Find the gradient of f. f(x, y) Vf(x, y) =…

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Q: 7 in X 26°

A: If the triangle one angle is 90 degree then the triangle is called Right angle triangle

Q: (b) J₁ In x x3 dx

A: To determine whether the following integral is convergent  or divergent.  ∫1∞lnxx3 dx Note: Since,…

Q: 5 Set up only $$$ 6xydu where W is the sold asked = By two perabolous 23x² + y² $2=8-x²__y² Sketch…

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Q: Suppose f is a differentiable function of x and y, and the following applies. p(t) = f(g(t), h(t))…

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Q: A bucket begins holding 15 kgs of sand. The bucket is to be lifted to the top of a 20 meter tall…

A: Initially sand present in bucket = 15 kg,Bucket leaks 0.2 kg/m sand when it is lifted.

Q: Is the line x = -8-6t, y = −8+9t, z = -9t parallel to the plane 3x+y-z=9? Give reasons for your…

A: To find the dot product of given line and find the line is parallel or not.

Q: Calculate the integral approximations To and Me for (Inx)-¹dx. Your answers must be accurate to 8…

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Q: he graph of f(x) = ax² +bx+c where a, b, and c are constants, passes through the (0,1) and is…

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Q: Given the function f and the point Q, find all points P on the graph of f such that the line tangent…

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Q: 5. The graph below shows the function h(x) over the interval 7≤x≤7. At which x-values is h(x)…

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Q: - 4 f(x) = (x+5)(BX- 7) 3_t46)(Ibt n )2 اہیے را

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Q: S x cos(x) dx?

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Q: How did we get 2π here?

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Q: Find the exact solution for e2-2e-35=0. 2x If there is no solution, enter NA. Enclose arguments of…

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Q: h(x): x² - 7x + 10 x-5 a x 5 x=5 8. Let for some constant a. If h is continuous for all real…

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Q: If f(-2) = 14, f'(-2) = -16, f(3) = -7 and f'(3) = -5 then: L. z. ( x. f"(x) dx = Submit Question

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Q: Find following definite integrals: x² 1+r (1) L'a (3) ₁ (x³ arccos x + xe do Jdx (4) (2) # √ ²…

A: Note :  Since you have posted a question with multiple subparts, we will provide the solution only…

Q: Find the area of the region bounded by: ² = 162 cos 20

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Q: A CD has diameter of 130 millimeters. When playing audio, the angular speed varies to keep the…

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Q: . Use a table to find the Taylor Polynomial P;(x) for f(x) = cos(x) with center c = π. A. P(x)= B.…

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Q: The owner of a skating rink rents the rink for parties at $1000 if 50 or fewer skaters attend, so…

A: Note: Due to Bartleby policy i can solve only the first question with its 3 subparts.     The cost…

Q: Find a vector parametrization and parametric equations for the line with the given description. 1.…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 3. Which of the following statements are TRUE about how y=-4 arcsin 3 I. Vertical stretch of 4 II.…

A: Given a transformed trigonometric function, we need to write down the transformations.

Q: Which of the following could represent an exponential function of the form y=f(x) = A.bx, where b>1?…

A: We need to find correct option.

Q: 3. Differentiate the following exponential function without simplifying f(x)=√(e*)(2x)

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Q: e = exp(1) is called the exponential function. Which of the following are true?

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Q: Q1 In a college meal plan, you pay a membership fee; then all your meals are at a fixed price. At a…

A: Given that the cost of 30 meals= 440. And cost of 60 meals=430.

Q: If you want to earn 13% annual simple interest on an investment, how much should you pay for a note…

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Q: The cost function for manufacturing electric drills is estimated to be: C(x) = 4x²-3x + 484. Where…

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Q: Consider the following integral: a) Note: answers are to be entered to four significant figures. b)…

A: Finally, just sum up the above values and multiply by Δx/2 = 1/4 : = 1/4(10.76720 + 22.10994 +…

Q: 1. Consider the following vectors a= [1, 3, 2] & b = [-2, 2, 1] a. Draw each vector on a grid b.…

A: a→=1,3,2 ,b→=-2,2,1

Q: Question 4 Given that sin() = 0.73, match each trigonometric function with its value. cos(8) csc (8)…

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Q: Taylor Power Series 5. Find the first 5 terms of the power series Σ (-1)^(n+1)(x-2)^ 222 'n=0

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Q: 2. Consider the function: a) Determine the derivative. y = 2sinx b) Calculate the exact value of x…

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Q: Consider the surface F(x, y, z) = x6x6 + sin(y8z6) — 10 = 0. Find the following partial derivatives…

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Q: Σ(-1)" √TI 2n + 3

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Q: When finding the moment produced by a three-dimensional force we commonly use the equation M = r X…

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Q: Find the equation of the tangent plane to z = e²+x+x³ + 10

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Q: y"" + 25y' = 0

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Q: Evaluate the given definite integral. -23 125 th In x

A: let D=∫123lnxxdx

Q: 1 Is the function given by g(x) = - X+5 continuous over the interval (-3,3)? Why or why not? Select…

A: g(x)= 1/(x+5) We have to find g(x) is continuous or not in (-3,3)

Q: Find a formula for a cubic function f if f(3) = 24 and f(−1) = f(0) = f(4) = 0.

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