Find the cross product a x b. a ++kb-i+2j - 3k 10 Verify that it is orthogonal to both a and b. (a x b) a = 0 (a x b) b = 0

Q: Consider the following equation. =(21+√51) f(x, y) = y^/x, P(1, 3), u = (a) Find the gradient of f.…

A: Given :fx,y=y4x

Q: the magnitude of the equilibrant? pounds to the nearest tenth.) Media - Copyright © 2022 Pearson…

A: Topic:- trigonometry ratios application

Q: Find the distance, d, between the point S(5,6,5) and the plane 6x + 7y + 1z = 12. The distance, d,…

A: topic- distance between point and plane shortest distance of plane ax+by+cz+d from point…

Q: consider the hyperbola represented by the equation - (x+5)^2/9^2+ (y-7)^2/13^2= 1

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Q: |-2 Evaluate the triple integral ²³ cos (y²) dz dx dy.

A: Here we have to perform triple integration

Q: -4 -2 30- 20- 10- 0 2 4

A:

Q: Find dw/ds and aw/at using the appropriate chain rule. Evaluate each partial derivative at given…

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Q: A car lease requires payments of $485 at the beginning of each month for 8 years. If the lease rate…

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Q: Question 1 options:   A vector has initial point (-5, 8) and terminal point (0, 2). Write the…

A: let initial point A (-5,8)=(x1,y1) terminal point B(0,2)=(x2,y2)

Q: SW n=1 3n+2 2n+3 h

A: Given :∑n=1∞3n+22n+3n

Q: Calculate L6 for f(x) = x² + 5|x| over [-1,6]. (Use decimal notation. Give your answer to three…

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Q: (1) Use the definition to prove that if x₂ → 2 then (2x, +1)/x → 5/2.

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Q: 13 Given Sine= - 12/23 and Cos0>0. Find the remaining trig. values of 0. From Sec 5.3

A: sinθ = -1/5 cosθ>0 here the quadrant given is 4th  because in 4th cosθ>0 and sinθ<0 now…

Q: ich of the following is a power series representation of f(x) = f(x) = Σ(-1)" – n=0 x2n+1 f(x) =…

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Q: Needing

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

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Q: sporting goods store sells 64 tennis rackets per month at $90$ each. The owners estimate that for…

A: Given the query is to find the price to maximize the revenue.

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

A: Convert given spherical polar coordinate in to Cartesian coordinate as follwing:-

Q: Plz

A:

Q: Which term in the expansion of 2x is a constant?

A: 12x3-x58

Q: (1) Use the definition to prove that if x → 2 then (2x + 1)/x → 5/2.

A: xn→2 (2xn+1)xn

Q: Identify the type of conic section whose equation is given. 2x2 = y2 + 2 parabola ellipse…

A:

Q: A rectangular piece of cardboard measuring 10 in by 14 in is to be made into a box by cutting equal…

A: The volume of the box is vx=4x3-48x2+140x on the interval 0,5 we have to find its maximum volume…

Q: Evaluate the following definite integral. Express your answer in terms of logarithms. In 9 S In 7 In…

A:

Q: 13. A certain type of glass is such that a slab 1" thick absorbs one-quarter of the light —which…

A: We need to find thickness.

Q: x²-x-5 x(x²-x-2) Evaluate - dx

A:

Q: A spring is stretched 6 in by a mass that weighs 8 lb. The mass is attached to a dashpot mechanism…

A: Given :The spring is stretched 6 in by a mass that weighs 8 lband damping constant…

Q: 3x lim x→∞ √x²+1

A: We can evaluate the limit as below.

Q: How/why does f(x)=10/x become f(x)=10/x^2?

A: The process of how f(x)=1x become f'(x)=-10x2 has been explained in next step.

Q: Given f(x) = √√x and g(x) = x² - 9, evaluate each expression. (a) f(g(3)) (b) g(f(3)) (c) g(f(0))…

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Q: Select all invertible transformations from the list below: Shearing Translation Scaling Projection…

A: Projections are not invertible transformation except we projects onto an entire space.

Q: What is the area of the region between the curves 3 y = x³ and y = x², from x = -3 to x = -1? Select…

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Q: y" + 3y' + 2y = U₂(t); y(0) = 0, y'(0) = 1

A:

Q: Use polar coordinates to set up and evaluate the double integral f(x-

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Q: II) Let f be the piecewise function f(x) = x³ + 6x² + 8x x+2 1-x-2, -, x≤-1, x -2 -1 1 1) Sketch the…

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Q: Two bacteria cultures are being studied in a lab. At the start, bacteria A had a population of 60…

A: Topic:- exponential growth function

Q: The cost function for a particular product is given by C(x)=0.001x^3 −0.24x^2 +27.9x +110 dollars,…

A:

Q: Find the equation of the tangent line to the function f(x) = ln(5x) at x = 8. (Use symbolic notation…

A: We have to find out the equation of tangent

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: 2- The work can be computed as: W = fp dv. Using a combination of the trapezoidal rule, Simpson's…

A: Here we have to use trapezoidal rule , Simpson's (1/3) rule and Simpson's (3/8) rule

Q: Let v = (2, -1, 5) and u = (5, -7,3). Find 37 - 5u

A: We have to find 3v - 5u

Q: 1.) a. Verify that y, (x). and y₂ (x) e are solutions of the differential equation 2y" y'-y-0 on…

A: We have to find if given are solutions to differential equation or not.

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: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

A:

Q: it is the empirical formula for C10H20O5 O C₂H5O

A: Empirical formula  An empirical formula is the simplest whole number ratio of elements in a…

Q: 7x³ - 7x lim x-1 2x² + 2x

A:

Q: Calculate L6 for f(x) = √√7x + 3 over [1, 3]. (Give your answer to three decimal places.)

A: The given function fx=7x+3 over the interval 1,3 we have to the left Riemann sum using 6…

Q: 10 -8 1 I 1 1 1 1 -6 T 1 I T 1 1 1 I 1 1 i 1 i 1 1 1 i 1 1 1 N 1 1 i +14+kw 12 10 8- 6- 2 -2 -4- -6-…

A: Given

Q: x5 + x4 (5x6 + 6x5)² J dx

A:

Q: Find the one-sided limit (if it exists). lim 11x² tan ex Step 1 The sign of the value of x² is…

A: To find the one‐sided limit if it exists.limx→12+ 11x2 tan πx