Find the area of the parallelogram with adjacent sides u = (4, 3, 0) and v = (0, 3, 1).

Q: A lamp post 3m high is 6m from a wall. A man 2m tall is walking directly from  the post toward the…

A: Given:- The given lamp post 3m high is 6m from a wall The given man's height is 2m The man is…

Q: Maggie bought three cookies and a soda for $3. If Elisa bought two cookies and two sodas for $4,…

A: Let the cost of cookies be x and cost of sodas be y

Q: Use Part I of the Fundamental Theorem of Calculus to find each of the following when f(x) = [tªdt.…

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Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) 13 + 9x -3y…

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Q: Factor the following expression: x^2 +9x + 8 (x + 1) (x + 8) (x - 1) (x - 8) (x - 1)…

A: Solution

Q: For a cost function, f(x, y), the minimum cost for a production of 56 is given by f(49, 84) = 1400,…

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Q: Approximate the area under the curve y = x³ from x=2 to x = 5 using a Right Endpoint approximation…

A: Right Riemann sum (Right Endpoint approximation): ∫abfxdx=∆xfx1+fx2+fx3+....+fxn-1+fxn Where,…

Q: 1.) e ax sin (mx) dx -1) (0+3)(

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Q: J

A: Topic:- geometry      Definition :- system of equation is defined as  two or more equations that…

Q: a polynomial a 17 minimal poly ent. dent.

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Q: T/F: The half-life of the exponential function P(t) = et is T = ln(2).

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Q: Use the rules for sums of powers of integers to compute the sum. 21 Σ; j=5

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Q: car company has $44,000 to spend on robots to put paint on new cars. There are 2 types of robots,…

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Q: Two cars are moving towards an intersection. One car is 150 meters north of the intersection and…

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Q: 1.5: The area of the region enclosed by the graph of f(x)=√x and the x- axis on the interval [0, 4]…

A: Area bounded between the curves : Consider the curve y=f(x) and x-axis on the interval a,b , then…

Q: ) (a) (b) (c) Differentiate y == the function by using rules. 1 2x - 3 y = ln(7x + 5) y = 3x³e5x

A: In this question, we need to differentiate the given functions. Please note that as per bartleby…

Q: f(x)= x² tan(x)

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Q: 2. A girl of height 120 cm is walking toward a light on the ground at a speed of 0.6 m/s. Her shadow…

A: Given,            A girl of height 120 cm is walking towards a light on the ground at a speed…

Q: Consider the function f(x) = 2x + 6x510x² - 4. = Enter an antiderivative of f(x). Do not enter +c as…

A: Here we have to find the integration.

Q: Find the values of a and b such that the following function f(x) = 2a cos(x + 1) - b.5x+2, if x -1,

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

A: Here is the solution:

Q: from a material costing 6 cents/in². The front of the box must be decorated, and will cost 9…

A: answer is in next step.

Q: How long will it take for an investment of $3000 to double in value if the interest rate is 6.5% per…

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Q: Find the exact average value fave of f(x) = √25 - x² between 0 and 5, then find an exact number c in…

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Q: with

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Q: x Cothx Y = (Sink x) 4 Find dry" dx [ Sin'x]

A: Given: y=sin hxx cot hx

Q: Find the partial sum S, of the arithmetic sequence that satisfies the given conditions. a2 = 9, a5 =…

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Q: Find the indicated value. f(5,2) if f(x,y)=2x²y-5xy³ f (5,2)= 10 (Type an integer or a simplified…

A: Given a function fx,y=2x2y-5xy3 We have find the value of fx5,2 Derivative of a polynomial function…

Q: Starting at age 25, you deposit $2000 a year into an IRA account for retirement. Treat the yearly…

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Q: Find the general antiderivative of f(x) = = + C -28²³-03-2/3 + √²

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Q: 3 ¹₁ (4x² + 7x²) dz 1 Find

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Q: 8. Integrate the following definite integrals. Express answers in exact form (no decimal fractions):…

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Q: What are the parametric equations of x - 2y + 3z - 1 = 0?

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Q: Given f''(x) = 7x + 4 and f'(0) -2 and f(0) - 3.

A: Given that f"(x)=7x+4 and f'(0)=-2 and f(0)=-3Our Aim is to find f'(x) and f(4)=?

Q: Evaluate the following indefinite integral. 1 √2 + 3x² Note: Don't forget your C! And be sure to use…

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Q: Solve the differential equation (2x + y) dx - O a. 5x+10y + In |10x O b. O c. 5x O d. 5x (4x + 2y -…

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Q: a. b. C. d. e. x² + 4x + 16 2 x² + 8x + 8 2 x² + 8x + 64 +2 x² + 4x + 5 2 x² + 8x + 16

A: Observe the mixed term and then guess the possibilities.

Q: 2. Given Taylor polynomial is p₁ (x) = Σ;=1−¹)²(x − 1)³, compare log (x) and its (-1)-1 Taylor…

A: Concept: Let f be a function whose first n derivatives exist at x=a The Taylor polynomial of degree…

Q: Let f(x) = 4x + 7 – 17e². Then the equation of the tangent line to the graph of f (0, -10) is given…

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Q: Find the radius of convergence of the following series. ∞ k=1 (3k)!xk (k!)³ The radius of…

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Q: ✓cos x lim x 0 1 cos x - -

A: The given limit is limx→01-cosx1-cosx

Q: [xt xtan xdx

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Q: S (2x² + 1) dx x3 - 3x +2

A: ∫2x2+1x3-3x+2dx This can be written as  ∫2(x2-1)x3-3x+2+3x3-3x+2dx=2∫(x2-1)x3-3x+2dx+3∫1x3-3x+2dx

Q: Find the partial sum S, of the geometric sequence that satisfies the given conditions. 2 a=²₁r = ₁ n…

A: Please see the below picture for detailed solution.

Q: A curve has an equation x² + y² + 4x − 6y - 12 = 0 · Find the area bounded by the curve O 78.54 O…

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Q: A company operates two plants which manufacture the same item and whose total cost functions are C₁…

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Q: IN 15 MINUTES PLEASE calculus Find all points on the curve x^2y^2 + xy = 2 where the slope of the…

A: Solution is done in step 2

Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

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Q: An international organization must decide how to spend the $2,200,000 they have been allotted for…

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Q: 1.2: The solution of (Se*-3)³ = 32 is a) In 3 b) 2 c) 1 do e) None of the above

A: Explanation of the answer is as follows