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Q: 3x ſ¹ S³* S*** ( 3x + 4y − 5z) dy dz dx - -2x x-z

A: The given integral is  ∫01∫-2x3x∫x-zx+z3x+4y-5zdy dz dx

Q: Find the solution of the following differential equations. Show your solutions 6. (D6 + 3D + 3D² +…

A: To find the soution of the following differential equation.D6+3D4+3D2+1y=0

Q: 2. If f(x) = √2 +4x, find f(3) of definition x → f'(3) using the , derivative. If" (3) is the limit…

A: Let's find value of f'(3) by using derivative of definition.

Q: Graph the parabola and find its vertex and axis of symmetry. 2 y = x² + 8x +9

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Q: Solve the initial value problem given below. In your solving process, make sure to (1) write the…

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Q: A 5500-pound vehicle is driven at a speed of 45 miles per hour on a circular interchange of radius…

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Q: You are given the following information. Function: f(x) = -4x² + 5 Point: (1, 1) (a) Find a unit…

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Q: Let the angle theta = - 240 degrees. a) What quadrant contains theta? b) what is the corresponding…

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Q: Assume the nominal interest rate for an account is 6% per year. Find the effective annual interest…

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Q: Calculate the derivative of: ƒ'(x) = → f(x) = - cos-¹(15x) sin ¹(15x)

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Q: Given values for x and z to be -12 and 2, evaluate the following ordered triples to determine the…

A: Given system of equation 2x - 4y - 3z = -2 y = x3 - 3 -2x + 2y -4z = 2

Q: B. Evaluate the following Laplace transforms by using the formulas listed in the table of Laplace…

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Q: Given the following vectors, calculate -10u u=(-8,-2),v=(10,-6)

A: Given query is to find indicated vector.

Q: Evaluate x+3 x²+x-2 X x²+4x+4 2x²+11x+15

A: Given: So,…

Q: Find the open interval(s) on which the curve given by the vector-valued function is smooth. r(t) =…

A: Given vector function:- rt=t2i+t3j

Q: 49. x³ x³ + 3x − 5 = 0, (1, 2) 3 -

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: A honey bee population starts with 100 bees and increases at a rate of N (t) bees per 15 week. What…

A: given  population start with 100 bees inceasing rate is  N(t)  bees per week

Q: 1. 2 (t+2 cos 2t)²-2 cos²2t 2 sint (e²t+4e¹ + sin t)

A: Please see the below picture for detailed solution.

Q: 3. Use an addition or subtraction formula to find the exact value of cos 250° cos 40° + sin 250° sin…

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Q: Find fx, fy, and fx. 23) f(x, y, A)=x²y + y²x + x^²

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Q: 3. y = 1+5x Inx

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Q: Current Attempt in Progress Find the average value of f(x) = Enter the exact answer. fave = X…

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Q: Find the area of the shaded region. x = y² - 4 -2 y 3 -3 y = 1 x = e 2 y = -1 4 X

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A: We need to find parametric and symmetric equation.

Q: Determine whether the vector field F = 5y²i + (10xy + e²)j + ye²k is conservative: Yes O No Find a…

A: Given vector field is ........... F= 5y2i+(10xy+ez)j+yezk Since given vector field is conservative.…

Q: The series below is an alternating series that converges. Calculate the sum of the first 3 terms,…

A: We need to find sum and error.

Q: Find the most general antiderivative or indefinite integral. You may need to try a solution and then…

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Q: Find an equation of the plane passing through the point perpendicular to the given vector or line.…

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Q: . Find the area between the curvey = x² and the straight line y = 8x - 4.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 5. Given f(x) = ex In(x), find the linearization at x = 1 and then use it to approximate f(1.02).…

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Q: 15. Find the sum. 10 Σ3(2) -1 i=1 Sn = a₁ (1-²) 1-r

A: Given query is to find the sum

Q: Which one of the following integrals gives the length of the parametric curve x(t) = t², y(t) = = =…

A: As we know that length of the curve from a to b  L = ∫ab( dxdt )2 + ( dydt)2dtGiven  x = t2y = 2t 0…

Q: The graph of a polynomial function f is shown below. -4 -3 a. The root(s) off with odd multiplicity…

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Q: Find: A) Rational function that is the opposite of the given function.

A: f(x) = -13x + 1 y = f(x) = 1-x3 The rational function that is the opposite of the given function =…

Q: C. Evaluate the following inverse Laplace transforms. 2. L-1 0-¹ ((+3)+-3-²-23) { 6

A: Given L-1{ 6( s + 3 )4 - ( 2s - 1 )s2 - 2s } Formula used L-1{ 1sn } = tn-1( n-1 )!

Q: Find the present value of an ordinary annuity with deposits of $11,788 each year for 9 years at 6.0%…

A: Topic = Algebra

Q: - Do not use a calculator for this problem. Find the x-value where the relative maximum of y = e =…

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Q: Find the interval of convergence of the se- ries n=1 an n+3 1. interval of cgce (-3, 3] 2. interval…

A: use the ratio test for finding the interval of convergence.

Q: x² dx + y(x - 1)dy = 0

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Q: Jse Newton's method to approximate a root of the equation 4x³ + 8x + 2 = 0 as follows. et x₁ = − 2…

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Q: Find the minimum possible sum of two numbers whose product is 134.

A: Let the two numbers be x and y

Q: Consider the function y = g(x) y = g(x) = -x ² + 2x + 7 9x of the the limit definition to compute a…

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Q: Researchers at two universities have developed a piecewise function that can be used to estimate the…

A: We have to find the weight at given time and graph the given function.

Q: Express the integrand as a sum of partial fractions and evaluate the integrals. X+4 2x³ - 8x Rewrite…

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Q: Find dy/dx and d²y/dx². dy dx d²y dx² = X = cos(2t), y = cos(t), 0 < t < π For which values of t is…

A: For which values of t is the curve concave upward? (Enter your answer using interval notation.) A…

Q: The vector field F is shown in the xy-plane and looks the same in all other horizontal planes. (In…

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Q: A man wants to adopt a puppy from an animal shelter. At the shelter, he finds eight puppies that he…

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Q: When we estimate distances from velocity data, it is sometimes necessary to use times to, t₁, t₂,…

A: height= time interval x velocity.   upper bound height will be after 62 sec.    h= 0+ 10x180+ 5x319…

Q: The normal line at x = 1 of the curve y=x²+x+ where m = 2 and n = 3, interects the curve at a second…

A: The normal line at x=1 of the curve y=x2+mx+n, where m=2 and n=3, intersects the curve at asecond…

Q: OA. The resulting matrix is (Simplify your answer.)

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