√x 3 1+ x³ X 3 dx (Hint: Let u = x²

Q: Which (if any) of the following differential equations are linear first order equations? dy A: +x²y…

A: dydx+x2y=3 dydx+xy2=3 d2ydx2+x2y=3

Q: Given ((~7) - (x²134²) find critical points 1-x² - y²

A: Take the partial derivative with respect to x and y separately then equate both of them to zero and…

Q: Could you just a brief explanation of how each step is done?

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Q: We have already introduced the symbols -p (for negation "not p") and pVq (for disjunction "either p…

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Q: The function f is defined for all x by, 3 f(x) = x³ 3x – 1 - - - Find all maximum or minimum points.…

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Q: Suppose f(x) = = x + 1 I T 2 f(x) x+1 x - 2 x < -1 Complete the table Positive Negative Zero O…

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Q: Q₁) Use Taylor's series method to solve the following differential equations (iii) y'=x+y²; y(0) =…

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Q: Given the function g(x) = 6x³9x² - 36x, find the first derivative, g'(x). g'(x) = Notice that g'(x)…

A: Given that, the function is g(x) = 6x³ - 9x² -36x We have to find the g'(x),g"(x) and have to…

Q: Jackson usually runs 8 laps around the football field and consistently completes the first lap in 3…

A: Jackson completes the first lap in 3 minutes and jackson takes 15% longer to complete each lap than…

Q: A tank contains 8,000 L of brine with 15 kg of dissolved salt. Pure water enters the tank at a rate…

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Q: How many terms of the series do we need to add in order to find the sum to the indicated accuracy?…

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Q: f ‴(x) = cos(x),    f(0) = 4,    f ′(0) = 6,    f ″(0) = 7 Find f.

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Q: 1 For what value of x does the function f(x) = x³ - 4x attain the absolute maximum in the interval…

A: Using the first and second derivative test we are going to find the absolute maxima.

Q: Solve the separable differential equation for u Use the following initial condition: u(0) = 10. u=…

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Q: Find the coordinates of the point (x, y, z) on the plane z = 4x + 4y + 3 which is closest to the…

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Q: In Exercises 45-46, we demonstrate that, in general, you antiderivative of a product of functions by…

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Q: Find the solution to the differential equation if y = 40 when t = 0. y = dy dt = 0.8(y-250)

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Q: 5 and 6 please

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Q: Multiply and write the answer in the form of a + bi. (-4) (5-√√-9) O -6+10/ O 20+12/ O -10 +6/…

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Q: Graph the equation. Include the coordinates of any local and absolute extreme points and inf 11)…

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Q: 16. Solve the following initial value problem: 1 dy y dx +5x² - x² Y 2 where y(0) = 2.

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Q: Evaluate the logarithm using the change-of-base formula. Round your result to three decimal places.…

A: Logarithm

Q: A person wants to enclose a rectangular field with three internal partitions as shown. If there is…

A: To solve the following problem

Q: Use the method of Frobenius and the larger indicial root to find the first four nonzero terms in the…

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Q: 14. Step 1: Solve each equation for its independent variable and match it to its corresponding…

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Q: Find the value of f(0) when f'(x) 4e²x, 2x = f(ln(2)) = 3.

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Q: Find the exact value of the expression, if it is defined. (If an answer is undefined, enter…

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Q: The Spacecraft Password Entering the room, you see the spacecraft. Finally, you will be able to…

A: Derivative of a function is  -8sinx. F'x=-8sinx

Q: Consider F and C below. F(x, y, z) = yz i + xz j + (xy + 6z) k C is the line segment from (1, 0, −3)…

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Q: an observer at the top of a 482 ft cliff measures the angle of depression from the top of the cliff…

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Q: Use the figure to find the exact values of sin(2u), cos(2u), and tan(2u). sin(2u) cos(2u) = =…

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Q: Three regions are defined in the figure. C (0,2 O X y R₂ /y = 2√√x R3 y=2x R₁ B (1, 2) A (1,0) X i…

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Q: Use the information provided to write the equation of the parabola. Vertex: (-5, -8) Focus: (-5,…

A: Given data

Q: The figure below shows f.  If F′=f and F(0)=0, find F(b) for b=1, 2, 3, 4, 5, 6, and fill these…

A: The graph of f is  And, F'=fF0=0 It is known that, ∫abfdx=Fb-Fa ∫abfdx=Area under the graph of f…

Q: a b 1 12. Use matrix multiplication to confirm that the inverse of the matrix A = where we assume…

A: By using matrix multiplication to confirm that the inverse of the matrix A=abcd  is A-1=1ad-bcd-b-ca…

Q: Your computer informs you that this gas follows the Ideal Gas Law (PV = nRT), and that the units for…

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Q: Compute the volume of the solid bounded by the graph z = x² + y, the rectangle R = [0, 1] × [1, 5],…

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Q: For each n the interval [2, 9] is divided into n subintervals [ri-1, il of equal length Ar, and a…

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Q: Find the volume of the solid that results when the region enclosed by = √x, y = 0, and x = 9 is…

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Q: 4.find the distance between parallel planes x+2y-2z=3 and 2x+4y-4z=7

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Q: For matrix A = A. C. (38 54 27 29. 29 27 54 38/ Select one: O A O B OC OD 4 (§). 3 if f(x) = X² - 5,…

A: A=4635f(X)=X2-5

Q: For what value of x does the function g(x) A. x2 -1 C. x ≥-2 3x³ - 2x² concave downward? B. x ≥ 0 D.…

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Q: Sketch the region of integration and change the order of integration. *In(x) 10 Ls f(x, y) dy dx…

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Q: Estimate the area under the graph of f(x) = 3 sin x ㅠ between x = 0 and x = using five approx- 2…

A: To estimate the area under the graph of fx=3 sin x between x=0 and  x=π2 by using five…

Q: Use L'Hôpital's rule 2. lim x→0 1 (1 + x)5 − (1 − x)5 1 (1 + x)³ − (1 − x)³

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Q: a. Use the product rule to find the derivative of the given function. b. Find the derivative by…

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Q: Find the antiderivative F of f that satisfies the given condition. f(x) = 5x4 - 8x5, F(0) = 2

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Q: Determine the periodic payments PMT on the given loan or mortgage. (Round your answer to the nearest…

A: We have to find the periodic payments, so we will use formula for PMT.

Q: In(√√e.e7/5)

A: First i have written two properties of logrithmic and then use the for the given problem and easily…

Q: Given ((x²y) = (x²13₂²³) e 1²*²=y find critical points

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