d? sin? (5x + V. с. dx2

Q: (a) / 2x vx + 1 dx

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

Q: Solve the system. 4x + 4y - z = 38 x+ 6y + 2z = 19 4x + y +z = 39 O A. {(9,2,1)} O B. {(-9,1,18)} O…

A: 4x+4y-z=38→(1)x+6y+2z=19Multiply above equation with 44×(x+6y+2z)=19×44x+24y+8z=76→(2)and now given…

Q: Solve the following differential equation: y′′−3y′−10y=0; y=1,y′=10 at x=0

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Q: Calculate -1– 2i. Give your answer in a + bi form. In polar form, use the angle 0 <0 < 2n. a = b =

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Q: 2. Verify that the Mean Value Theorem (MVT) applies to the function f(z) = sin² z- on the interval ,…

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Q: Use the Root Test to determine whether the series convergent or divergent. (3n – 1)" Ln=1 n2n

A: The objective is to use root test to determine whether the series is convergent or divergent.

Q: 3. (Section 4.1) Evaluate each indefinite integral. (a) /202 (b) /(3e* + 2)dr 4x (c) / (182² + 6x +…

A: We have to solve in image

Q: answer

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Q: Determine whether the improper integral converges or diverges. dx 1/3 -3 O Converges Diverges

A: Given query is to find integral converges or diverges.

Q: d,e,f

A: We will solve the limits.

Q: Given functions f and g are periodic. Identify whether the following functions are periodic. i. ii.…

A: Take the two examples of periodic functions and then solve.

Q: Find the volume of the solid generated when the area bounded by the given curves and lines is…

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Q: Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r.

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Q: 1 3. f(x) = x - 2 at x = 2 %3|

A: In this question we have to determine the function is continuous.

Q: 4 3 1 10 15 20 25 30 35 time (sec) feet velocity (ft/sec)

A: At t=0, velocity is 1 ft/sec. At t=25, velocity is 3 ft/sec. Required distance =Final velocity -…

Q: Look at the picture below. The blue curve represents the function f(x). At which point is the…

A: A function f is continuous at a point x=a iflimx→a-f(x)=limx→a+f(x)=f(a)Consider at x=-4From…

Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural…

A:

Q: Question 1 Given: xy = tan(a - y). Find dx/dy. %3D tan (z-y) sec (r-y)- " +tan? (-y) sec" (7-y) O dr…

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Q: Let S be the solid bounded by the planes z = o and y + z = 3, and the cylinder x2+y2 =2y-

A: answer is in next step

Q: Find f,, f, f,(2,1), and f,(4, - 4) for the following equation. f(x,y) = /x² + y? (Type an exact…

A: Given problem:-

Q: 1. Which of the following is a convergent p-series? (A) n³ n=1 n (B) 3 n=1 1 (C) n=1 3 1 (D) n n=1

A: A) ∑n=1∞ n3     Since n is positive integer⇒  The above series diverges B) ∑n=1∞13n   It is not p…

Q: 1. Which of the following is a function а. у%3D х2 — 5ху b. х2 — 5х + 4%3D у с. у? 3D х2 d. y? = 3x…

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Q: Find the remaining trigonometric ratios. 7 csc(0) = Зл < 0 < 2n 2 6 sin(0) cos(0) tan(0) = cot(0)…

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Q: Application: 1. f(x) = 6x5 – x* + 2x2 – 3 2. h(x) = sinx + cosx – sec²2x 3. (x3+2x2)dx

A: Find the antiderivative

Q: Find a formula for the nth partial sum of the series and use it to find the series' sum. 9. +... +(-…

A:

Q: A goal is to get at least 15% of daily calories from poly saturated fats found in various nuts or…

A: 1 gram fat = 10 calories 21 gram fat = 21*10 = 210 calories

Q: 4- 3. 2 2 3 To find the blue shaded area above, we would calculate f(r)dc area Where: %3D a = f(x):

A: If the line passes through the points x1,y1 and x2,y2 , then the equation of the line is…

Q: Use a graphing calculator to solve the nonlinear system. y = log (x+ 5) y =x? Select the correct…

A: this question has been solved using a graphing calculator desmos.

Q: Find the length of the curve y 12z/2 - 4, 1 <I 2. %3D Find the limit of tl.

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

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

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Q: Consider A = ⟨0, 4, 2⟩ ,B =, ⟨6,−1, 0⟩ and C = ⟨3, 0, 1⟩. (a) Find the unit vector having the same…

A: Given vectors A=0 , 4 , 2B=6 , -1 , 0C=3 , 0, 1

Q: Does the following series converge or diverge? 2 (-1yn+1n+ Vn n2 +1 n+ yn n= 1 O The series…

A: Given query is to find series converges or diverges.

Q: Solve for ∂w/∂y and ∂w/∂x w=(x-y)/(x+y)

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Q: Given: h (t) = Find h'(t). t² +2 O (E) None of the choices -8t3 O h (t) (1²+2)* O h (t) = 8t° (1+t*)…

A: Use quotient rule for differentiating h(t)

Q: 9 NO ION If g(x) = [ cos t dt, find g '(x). %3D x10 -sin (x) -10x cos (x) COS 1 cos (x°) %3 10x9 cos…

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Q: Find the flux of the vector field F(x, y, z) = across the surface S, where S is the part of the…

A: Given

Q: 2. 52 Calculate the determinant for 2 3

A: As we know that, If the given matrix is A=abcdefghi then the determinant of the matrix is:…

Q: Answer the following True or False. 7x7 the fundamental theorem of calculus tells us that Since dx 1…

A: Fundamental Theorem of calculus:If f(x) is continous function, F(x) is antiderivative of f(x). Then,…

Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural…

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Q: Calculate -3 + li. Give your answer in a + bi form. In polar form, use the angle 0 < 0 < 27. a = b =

A: This question is based on conversion of rectangular form to exponential to polar form of complex…

Q: Perform the indicated multiplication if possible. (Enter NONE in any unused answer blanks. If the…

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of F (z) = : sin(t) dt…

A: Given query is to find the derivative.

Q: Find all solutions to the equation below in the interval [0,2π)[0,2π). Give all answers as exact…

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Q: di V = -L dt

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Q: Question dx If z? = x +y. dt dy = -3, and z > 0, find dt dz -2, at (x, y) = (4, 0). dt %3D %3D…

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Q: Test the series for convergence or divergence. n=1 n35n (n+ 2)!

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Q: Convert xy = 7 to an equation in polar coordinates in terms of r and 0. %3D (Express numbers in…

A: Given query is to find the the polar form.

Q: (a) Use integration to evaluate, cor- rect to 3 decimal places, dr (b) Use the trapezoidal rule with…

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Q: Solve the given initial-value problem. 1 2 5 X' = |х, X(0) %3D 1 1 X(t) =

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Q: Eualuate in tegral Só Vincy dx

A: