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Q: ∫0.00202003x^4/4-0.0185672x^3/3-0.0937054x^2/2+2.17676x+C

A: We have to solve it. But it's not clearly mentioned that, either We have to find integration or…

Q: Question 3 limx→+∞ e-√√ OI Oll O III OIV O Not Indeterminate

A:

Q: The function f(x) 2x³ 45x² + 300x + 6 has one = local minimum and one local maximum. This function…

A:

Q: Find the direction derivative of f(x,y)= Xe ² + y ² at the paint (2,1), by the dirction of V = i- j

A: Topic:- application of derivatives

Q: integral

A: We will find the solution m

Q: 7. A certain ellipse is centered at (0, 0) from which the major axis always equal to 16 and the…

A: Concept: As the standard form of the ellipse is x2a2+y2b2=1  ; (a>b) Whose center at (0, 0) Major…

Q: Investigate if the integral dx 1-x is convergent or not. Justify your answer.

A: Divergent

Q: Investigate if the integral is convergent or not. Justify your answer.

A:

Q: 1 Given f(x)=³-57² +24r, which of the critical number found in the previous number is f(c) a…

A: You must have an idea about to how to find relative maximum or minimum using critical points.

Q: Consider the following initial-value problem. f'(x) = 8ex − 4x; f(0) : = 13 Integrate the function…

A:

Q: Find the volume of the region of R^3 bounded by the paraboloid z=x^2+y^2 and by the planes…

A: Concept: Let us take D to be a bounded, closed space region. Let a and b represent real numbers,…

Q: Solve the following Differential Equations with Laplace Transforms y" - 6y' + 15y = 2 sin(3t), y (0)…

A: 

Q: Consider the following. [u-5(6 - u³ +4²0) du Simplify the integrand by distributing u¯5 to each…

A: We know that integration power rule is given as - Integration of xn is xn+1/n+1 +C ; here C is…

Q: A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles…

A:

Q: If f(x) cos-¹(2x+5), then dom(f) = = x+3 (A) (-3,-2) (B) [-3, -2] C)(-3,-21

A:

Q: Find a scalar equation of the plane x + 2y + 3z = 0 -x+ 3y - 2z = 0 c. 13x + y - 5z = 9 d. 13x+y- 5z…

A:

Q: f arctan y dy 3 ¥

A: Given problem:- ∫arctan(y)/y3 dy

Q: 2. A 6-ft tall man is walking away from a 15-ft post at a rate of 5 ft/sec in a straight line. How…

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: 3 s²+1 6 s² + 1 Option 4 O * The Laplace transform of the x(t) is x (t) = 3 sint 3 s²+2 6 s²+2…

A:

Q: Solve the following Differential Equations with Laplace Transforms y" - by' + 15y = 2 sin (3t), y…

A:

Q: Investigate if the integral is convergent or not. Justify your answer.

A: Given:     ∫1∞dx1-x   Substitute u=1-x→dudx=-1                dx=-du   =∫1∞-1udu

Q: Find the Taylor Series for In x about the value a.

A:

Q: 2x² + y² +3z² = 1 y² = 4x x² -z² = y 2z = x² +4y² 2x + y − z =1 z = 4y²-x² E

A: We have to match the graph with equation and write name of these shapes.

Q: f(t) to f' (t) Option 2 O F (s) to f(t) * Laplace Transform transforms a function from f(t) to F (s)…

A:

Q: 2. A line has y-intercept 11 and 3-intercept-13. [x, y, z)= [0, 11, 0]+[0, 11, 13] C [x, y, z]= [0,…

A:

Q: Evaluate: S O (1+2√√)¹ 2 O (1+2√)¹ +C 8 O 2(1+2√x) + C O (1+2√)¹ - + C 4 (1+2√x)³ - dx +C

A:

Q: 6 sinh t 6 cosh 51 Option 2 O Option 3 * What is inverse Laplace for 6s s² +25 6 sint 6 cos 5t…

A: In this question, we need to find the inverse Laplace of given function.

Q: 3.) The natural length of a spring is 8 inches. A force of 20 lb stretches the spring to 10 in. Find…

A:

Q: 1) The hyperbolas 6² x ² - a²y² = a) xyy" + x(y²) ²³²- yy²=0 b) xyy" - x (y² 7² - y₁² = c) xyy" - x…

A:

Q: For the function whose graph is shown below, at which value of x is the graph continuous and…

A: We know  Function differentiable if it is continuous through out its domain   At sharp/corner points…

Q: Find the limit or show that it does not exist. lim √25t² + 2 − 5t t-x

A:

Q: CD is a parallelogram with vertices A(0, 2, -3), B(2, -1, 4) and C(-3, 1, 2). Find the angl een the…

A: Follow the procedure given below.

Q: 3x + 1 Evaluate (x-1) (x+2) dx using Partial fractions.

A: This question can b solved using the concept of partial fractions.

Q: lim-0 OI Oll O III OIV e² - x Not Indeterminate کے

A:

Q: f arctan y dy 3 f

A:

Q: Find dy dx In y = e sinx O dy dx O dy dx O dy dx O dy dx = yey sin x =yey cos x = 4 1- ye cos x yey…

A: We can find the answer as below.

Q: A box with a square base and open top must have a volume of 108000 cm³. We wish to find the…

A:

Q: € +h (1 g+ dy S

A:

Q: Show that the interval [a,b] is complete

A: Given

Q: ? Question Draw the gradient f( − 1, 1), starting at ( − 1, 1), on the contour map of f(x, y) = xy.…

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Q: Solve for the volume of the solid generated by revolving about the y-axis the area under y x = 4 to…

A:

Q: Six 2 CSC ² 2x - x cos 2x) dx

A: We know, ∫cosmx dx= sinmx/m  ∫sinmx dx= -cosmx/m  ∫cotmx dx = ln|sinmx|/m  ∫csc²mx dx= -cotmx/m…

Q: Question 5 limx→→+∞ (1 + ¹)² O ll SO III OIV O Not Indeterminate

A: Please mention also what the first four options wants to represent here ...as correct answer is e .

Q: l₁: x = 7+2t, y = 2 + t, z = -6 - 3t y-9 Z-13 l₂: 3 - x = -5 -5

A:

Q: 5. Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = X. 4 f(x)= = and g(x)…

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Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 200…

A:

Q: 1. Siste dx It sex x

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: T/6 6 tan 2x dx

A: In this question, we need to evaluate the given integral.