5. Integrate the function below, if the answer is expressed as (a/b)*pi + 2*In(c), find the value of abc. JT Sa 1+(tan x)² 2022 -dx

Q: Use the substitution u= x² + 6 to find the following indefinite integral. Check your answer by…

A: To evaluate the integral.

Q: cos¹3 xdx 2. Dễ sin12xcos®xdx 1.

A:

Q: Question 5 Find the general solution of the differential equation y" - 10y' + 61y = 0. NOTE: Use c₁…

A: Solution : Given that differential equation                  y"-10y'+61=0

Q: ( 1-x+zy) . ول دل ران 3(x+2y)

A:

Q: Q2: Solve the following in 7x²+14x+15 (1) f dx ; (x²+3)(x+7)

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: dy Q5: Find for the following functions: (3) y = ex.sin² x In√x

A: We can solve this as follows:

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A:

Q: Evaluate the indefinite integral f7 sin v cos vdv =

A: Given ∫7sin6v cosv dvTo evaluate the integral:

Q: (4) fxe-x dx

A: We solve this integral using integration by parts method .

Q: Use the method of reduction of order to find a second solution of the differential equation t²y" —…

A: The differential equation is given by,  t2 y'' - 4t y' + 6y = 0  Given,    y1 (t) = t2

Q: Find all the zeros. Write the answer in exact form. q(x)=x²-₁ -7x+14x-6 If there is more than one…

A:

Q: (B): If A = 2i +3j - 4k; B = 3i - 4j+5k and C = i + j-k, find: (iv) (3A + 4B).C (i)A.B (ii) B.C…

A:

Q: Find the limit as x approaches 3 for x²-3x 2x²-5x-3

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Q: Q4: Answer two only: 4 2 2 1 -1 1 (A): If A = -2 Find AB and AC. 01 0; 2 B = 2 -1 3 -2 -2 and 2 1 3…

A:

Q: given u = and v= find 2u+5v

A:

Q: If the terminal side of angle A goes through the point (−24/25,7/25) on the unit circle, then what…

A:

Q: find an equation of a plane passing through the given point and perpendicular to the given vector…

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Q: The vector v and it's initial point is given find terminal point v=, initial point (-7,-8)

A: In this question we have to find terminal point.

Q: 4. [0/11.11 Points] A rectangular page is to contain 54 square inches of print. The margins on each…

A:

Q: 1. Find the second-order prediction error filter and the prediction error variance for the random…

A:

Q: 3. Find the Laplace transformation of the function: f(t) = cos (2wt) cos (3wt). Hint: write cos(20t)…

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) xy - 25 lim (x, y) → (5, 5)…

A:

Q: Consider the region depicted in the following figure. Find the area of R. -1 YA 4- 3+ 2 1 0 -1. f(x)…

A:

Q: sin 8 cose √cos²0-9 S do

A: Our Aim is to evaluate the integral given below:-∫sin θcos θcos2 θ-9dθ -(i)

Q: Let f(x) = 6x√√x + f'(x) = -∞0 8

A:

Q: 3. 4. S 2t (1²+2) ³ 514 √15 +2 - dt =dt

A:

Q: 2 x²log₂ (x) dx S

A: Please show complete solution. (Use integration by parts)

Q: Solve the given initial-value problem. y(x) = y" + 6y' - 7y= 11e²x, y(0) = 1, y'(0) = 1 2x 7e -7.x…

A:

Q: valuate the following double integral over the region R by converting it to an iterated integral. Se…

A:

Q: 12. x² sin(x + y) = 1, -

A:

Q: 2-) -100

A: Since you are asking multiple questions. We are answering only one question as per our guidelines.…

Q: (a) State the Fundamental Theorem of Calculus Part I √x (b) If G(x) = cos(t¹) dt, compute Gʻ(z). (c)…

A:

Q: Q5: Find d for the following functions: dx (1) In(x - y) = xy + y³ ; (2) y =

A: As per Bartleby guidelines rule I am answering only first question as other questions are not the…

Q: (C): Solve the following equations:- (1) sin 2x + 2 sin² = 1

A:

Q: Use the figure below to find the exact value of the trigonometric function of angle A. cos(A) 0.49 X…

A:

Q: Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and…

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Q: (2) Use a known Maclaurin series to obtain the Maclaurin series for f(x) = sin²x. (Hint: Use sin²…

A:

Q: The graph of y = f(x) is shown. Use the graph to answer the question. Find lim x-(-1)- O-2, -7 O-7,…

A:

Q: Question 3 Find the Wronskian of two solutions of the differential equation t²y" — t(t − 2)y' + (t −…

A: To find out the wronskian without solving.

Q: Find the volume of a solid of revolution formed by revolving the region bounded by the graphs of…

A:

Q: Q3/ A. For the following function f(x). Find: i. iii. f(x) = x² + 1 The slope of the f(x) by using…

A: We need to find out the slope using the definition.

Q: 5 +1 Tsimplify denomina 7) (1+i) (1-1) = 4 the Following without using the de noctor Prove that

A:

Q: Differentiate implicitly to find dy/dx. cos(x) + tan(xy) + 4 = 3

A: Given: cosx+tanxy+4=3We need to find dydx.Recall the formulas: ddxcosx=-sinx…

Q: (A): Solve the following linear equations by Cramer's rule: x + y + 2z=1 2x-y-z = 0 = 4 x +2y-z

A:

Q: Consider an exchange economy with 2 consumers, A and B, and 2 commodities, x and y. Each consumer is…

A: Multiple subparts are asked, I am answering first 3

Q: Complete the following steps for the given function, interval, and value of n. a. Sketch the graph…

A:

Q: find the area of the triangel with verticies A=(0,0,0) B=(2,1,1) C=(3,1,2) round to 2…

A: This question can be solved using the concept of area of triangle using vectors.

Q: Q1/ Solve the following differential Equations. 3- dx +2²= 3x x

A:

Q: g(x) dx = (Simplify your answer.) 7 4g(x)dx= 2 (Simplify your answer.) 7 [g(x)-f(x)]dx = (Simplify…

A:

Q: cise (a) e volume of the solid formed by revolving the region about the x-axis 01 he region is…

A: To find the volume of solid revolving around x axis using disk method