The vector u has length 10 and points at an angle of 15∘. The vector v has length 20 and points at an angle of 25∘.   find u*v

Q: Evaluate dz using the given information. z = 5x² +9xy + 2y²; x = 7, y = -1, dx = 0.08, dy = -0.02 dz…

A: z= 5x2+9xy+2y2

Q: Let f(x) ƒ'(0) = = 2e²+3 + e².

A: Given query is to find indicated derivative.

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Q: Which of the following expressions could not be used to determine the exact value of cos 60*?…

A: we required some of the values whiuch are as follows cos60° = 12cos30° = 32sin30°  = 12

Q: a) in order dzdydx E b) in order ff dxdydz E

A: Let's find volume of the tetrahedron.

Q: Given sinx== O O O O 161 289 225 289 161 289 225 289 15 and cos x > 0, what is the exact solution of…

A: As we know that cosx=±1-sin2x

Q: You have been given the following initial Problem, Please Solve it. Your Symbolic function of x…

A: see below the answer and calulation

Q: Question #9.2 You have been given the following initial Problem, Please Solve it. Your of x.…

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Q: Determine whether the geometric series is convergent or divergent. If it is convergent, find its…

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Q: Find the critical numbers of the function f(x) = 3x5 + 15x4 3x5 + 15x¹25x³ - 3 and classify them…

A: x=a is said to be critical point of a function f(x) if f'(a)=0.And x=a said to be point to be local…

Q: When the Olympic Games were held near Mexico City in the summer of 1968, many athletes were…

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Q: [(x² + (r² + 6x)√1³ +9r² + 11 dr

A: Find the indefinite integral  ∫x2+6xx3+9x2+113 dx

Q: 8. Air is being pumped into a spherical rubber balloon at a rate of 1 cm³/s. (a) When the balloon's…

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Q: Keisha has decided to invest $5500 each year into an annuity. If the account pays interest at a rate…

A: We have to find the balance after 12 years.

Q: Find x. Round your answer to the nearest tenth of a degree. Explanation Check 9 14 x = 0° X Ⓒ2022…

A: We have given a right angle triangle  From given triangle  perpendicular (p) = 9 base (b) = 14 angle…

Q: Which of the following shows the simplified form of 1 01 sec x + tan x cos x + cotx cos x + tan x…

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Q: 2.Find the first four Taylor polynomials for, f(x)= In x about x=2

A: f(x)= ln(x) about x= 2

Q: Using left endpoints, determine the value of the Reimann Sum S 2x² +5 dx using four partitions each…

A: Solution: The left Riemann sum (also known as the left endpoint approximation) uses the left…

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Q: Use the properties of natural logarithms to simplify the function. f(x) = In(x³) - In(x) f(x) = 4x X

A: Formulas we use: lnab=lna-lnb lnam=m×lna aman=a(m-n)

Q: Find the slope-intercept equation of the line that satisfies the given conditions. passes through…

A: Given query is to find the equation of the line.

Q: Solve for the general solution of the given DE: O 2x^2y + x^2 + y^2 = c O x^2y + 2x^2 + 2y^2 = c O…

A: The given differential equation is; (2xy+x)dx+(x2+y)dy=0

Q: A graphing calculator is recommended. Find the domain and range of the function. (Enter your answers…

A: The objective of the question is determine domain and range of the given function.

Q: Compute the indefinite integral S t √4-t² dt.

A: Given ∫t4-t2dt Let u=4-t2 differentiating with respect to t, dudt=ddt(4-t2) dudt=-2t du-2=t dt

Q: K Find the derivative of y with respect to x for y = ( − 3x² − 8x + 8) (cos x + 23*) GEERT The…

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Q: the circumference and the area of a circle with radius 2 yd. e the value 3.14 for , and do not round…

A: circumference of the circle is  12.56yd

Q: 3. Find the absolute maximum and minimum values (use exact values): g(x)=sin’x+cosx, [-T, π]

A: solution is given below..

Q: Find all solutions of the system. (Use the parameters x, y, and z as necessary. If the system is…

A: 2x-y+z=22x+3y+2z=-67x+5z=60

Q: Compute the partial derivative of h(x, z) = e4xz-6x²z³ (Use symbolic notation and fractions where…

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Q: Find the total mass M and the three moments of inertia Ix, Iy, and I₂ of the solid with mass density…

A: We need to find moments of inertia.

Q: Can someone help make a rational function from these characteristics?: Vertical asymptotes- x=-3,…

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Q: Find the maximum and minimum values of the function g(0) = 70 - 8 sin(0) on the interval 0, [0,1] 2…

A: The solution is given below

Q: An investment of $8000 grows to $10,298.73 in 4 years. Find the annual rate of return for annual…

A: We have to find the interest rate.

Q: Differentiating Exponential Functions Find the derivative of the function. f'(x) = f(x) = +9

A: the given function is; f(x)=(ex+9)/(ex-9).

Q: Solve the following system of linear equation by (a) Gaussian elimination (b) Gauss Jordan and (c)…

A: Given system of Linear equation -x1+x2+2x3=12x1+3x2+x3=-25x1+4x2+2x3=4 Writing this system in the…

Q: slope of the tangent line to function f at x = -1. x=

A: the slope of a line joining two points (a, b) and (c, d) is defined as, m = (d - b)/(c-a). As per…

Q: Use the Integral Test to determine whether the infinite series is convergent. ∞ n² Σ 9 n=21 (n³ +9)…

A: NOTE: Refresh your page if you can't see any equations. . use the series integral test if the…

Q: Find the volume of the solid generated by revolving the region bounded by the given line and curve…

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Q: Experimental measurements of animal tumors indicate that the growth of cancerous tumors can be…

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Q: You have been given the following initial va Problem, Please Solve it. Your Symbolic function of x…

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Q: iM8 n=1 5 nº.9

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Q: A 32 centimeter by 31 centimeter piece of carboard will be made into a box by cutting equal sized…

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Q: The traffic flow rate past a certain point on a highway is q(t) = 1400 + 2100t - 480t² where t is in…

A: The traffic flow rate past a certain point on a highway is q(t)=1400+2100t-480t2 where t is in hours…

Q: Graph the function. Y-(-²)*

A: Given function,                           y=12x

Q: For the series below: a. What is R, the radius of convergence? For thes following problems, use…

A: Given : we are given a series ∑n=0∞x+2n To find :  a. What is R, the radius of convergence? For thes…

Q: Use the Table of Integrals to find the following antiderivatives. Be sure to cite the Formula number…

A: NOTE: Refresh your page if you can't see any equations. . substitute

Q: A new car lists for $16,260 and depreciates by 45% per year. Find its value after the following…

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Q: Find f''(x) for f(x)=5x^2+e^(-2x).

A: