t Determine f'(1) if ƒ (t) = log10 %3D t+1

Q: Which of the following functions is continuous on -5,4)? For those who have trouble viewing the Math...

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Q: Evaluate the integral. 922-100x-100 2-100x dr = +C NOTE: Enter the eract answer.

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Q: functions

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Q: Determine the slope of the tangent line to the graph of ƒ (x) =- at the point(4, -4).

A: Use differentiation for finding the slope.

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A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: d) f(x) = e) р(х) %3D (е* + 1)(е* — 1) x3

A: Given: To find derivative of  d) f(x)=exx3 e) p(x)=(ex+1)(ex-1)

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Q: Q1- Solve the linear system using Inverse matrix method 5x1 + 4x2 = 13 2x1 - 3x2 = -4

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Q: Find the global minimum of the function f (x) = 1+x² on the interval [1, 10] . Write DNE is there is...

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Q: 14. y = Vx, the x-axis and x = 4, about the line y = 2. 40T 30Tt units3 b. units3 units3 d. none of ...

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Q: 8a-4 Identify all the points of discontinuity of the function f (x) = [f(x)=(8x- (4x3-) 4)/(4x3-x)]....

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Q: Evaluate: Jx°cos(2x)dx A None of the given choices 2x2sin(2x) +2xcos(2x) + sin(2x) + C 4 2x2sin(2x)-...

A: I have used the by parts rule of integration and get the required integral . Option (D) is correct.

Q: If the vector field F = (sinx + (7 + c)xy, (c + 1)x² – e') is conservative, then c=

A: Given

Q: Find y" of 4x2+9y2= 36

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Q: i. Comment whether the sequence is Converges or diverges. ii. Obtain the first five terms of that se...

A: We know sequence is convergent when limit of sequence is finite

Q: The derivative of the function y = sin-1(e* – In x), where Je – In x| < 1, is:

A: Recall ddx(sin-1(x))=11-x2 ddx(ex)=ex ddx(ln(x))=1x

Q: Evaluate the integral. de +C VI- 25 NOTE: Enter the fully simplified answer with no fractions under ...

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Q: Find f"(x). If ƒ (x) = 3x³ – 3x² + x + 1

A: Differentiation two time and get the answer.

Q: Evaluate the integral. (Use C for the constant of integration.)   The integral of 5(tan^2(x)+tan^4(...

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Q: Find the area of the parallelogram that has u = 2i – j+ 2k and = 2j + 3k as adjacent sides. NOTE: En...

A: We will find the area of the given parallelogram in the following step.

Q: Verify that the given function u is harmonic in an appropriate domain D. Find v(x, y), the harmonic ...

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Q: Question 22 What is the second derivative of a function y = 5x³ + 2x + 1? (А) 25x (в) 30х c) 18 D) 3...

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Q: et cot (el - 9)dt

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Q: 23. y + ху %3 ху , У0) %3D 3

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Q: : find ualue and eigen eigen vector of matrix A. 10 A = 7 -2

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Q: Is the sequence {=converges? If it converges, find its limit.

A: This is a problem related to series calculation. By using the several method we will identify the na...

Q: Question 2 For the function g graphed in the accompanying figure, find 8 (0). y = g(x) g (0) is Blan...

A: For the function g graphed in the accopanying figure, to find g0.  

Q: How fast does the slope of the curve y= (x²+x+ 1)² change at the point where x=2? The answer is Blan...

A: This question is based on chain rule differentiation.

Q: Using the method of substitution, b. I : x2 /9x + 7 dx f(u) du %3| a where u = du dx a = and f(u) = ...

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. sin (4) dx +C

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Q: If lim f(x) = +o, then f(a) is undefined. For those who have trouble viewing the Mathematical expres...

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Q: Given the equation: y = (eln x², find y. A In x B 2(In x) / x (c) 2x D 2 elnx

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Q: 3r-4x+1 if x + 1 3. Given the graph of the function f(x) = complete the table. エー1 if x = 1' Differe...

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Q: dr (bV5 + nc)

A: You have asked two questions. According to Bartleby policy we will answer only the first question. P...

Q: Find f"(x). If f (x) %3D 3x3 — Зx2 + х + 1 3x3 - 3x2 + x + 1 А) 3х- 4 (в) 9х- 6 (с) 18х - 6 D 6x -5

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Q: Let lim an = a and lim b, = b. Therefore n-00 n-00 an a iii) lim b + 0. b n-00 I|

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Q: F. Directional Directive Find Duf (x, y, z) at (2,–1,0) in the direction of the unit vector U parall...

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Q: Trace the curve of the following equations by giving the a. Intercepts b. Symmetry c. Vertical Asymp...

A: Equation of a curve is giveny2=2x4-5x3+3x2+4x-20x2-3x+2

Q: The derivative of the function y = cot¬1(cscx) is: is: cSc X cot x y' csc x cot x y' csc²x+1 csc?x+1...

A: Find the derivative of the function

Q: Find dy/dx of y=sin -1(1/x). (A x²– 1 3 B 1- 9x2 1 9 D 1-x2

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Q: Find || (x, y) dA where f(x,y)=y and Ris the region bounded by y = x² and y = x. (A) (c) (B) 12 15 r...

A: Given: I=∫∫Rfx,ydA ; fx,y=y And y=x2 &amp; y=x   As we know that; The Power rule: ∫xndx=xn+1n+1+C ; ...

Q: Using an appropriate substitution, cos x-sin x the integral dx equals: 2 cos x+sin x -1 none of them

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Q: Find lower bound for f(n) = 5n².

A: f(n)=5n2f(1)=f(-1)=5f(2)=f(-2)=5×4=20f(3)=f(-3)=5×9=45f(4)=f(-4)=5×16=80... ⇒ f(n)={5,20,45,80,........

Q: Determine if the given function is continuous at a given value of x. 2. f(x) = x² - 4x – 2 at x = 1 ...

A: Since you have posted multiple questions i can do first three subparts as per our company guidelines...

Q: By completing the square, dx the integral S equals: 2x2+8x+10

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Q: Use the Method of Substitution to find the indefinite integrals: t3et“ dt dx x VIn x

A: The given integral,a) ∫t3 et4 dtb) ∫9xln x4dx

Q: Find the area of the triangle with vertices P(1,6, –3), Q(0,0,0) and R(4, 6, 1). NOTE: Enter the era...

A: As we know that; The expression for the area of the triangle PQR is; A=12PQ→×PR→   Given: OP→=1,6,-3...

Q: 1. Below is the graph of f(x) = |x]. Using the right side of the function with the equation y =x, co...

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