Find f tan 0 de. ] a. C. - In sin 0+ C - In cos 0+ C sec² 0 + C - In sec 0 + C

Q: Find the critical value x^1/7+8

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Q: Evaluate: 12+3 2√x+3 ○1-3 ln (7/5) O2-3 ln(7/5) 2 O2+3 ln7 03-In()

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Q: The graph below is a transformation of the absolute value function f(x) = |x|. Write the equation of…

A: We have to find the equation of transformed graph.

Q: 3) [3 Consider the DE: -(4x³y – 16)dy = (6x²y² – 10)dx. A) Show that the differential equation is…

A: For a differential equation Mdx+Ndy=0  to be exact if ∂M∂y=∂N∂xand solution of a exact differential…

Q: Evaluate: St dz 2√√7+3 ○1-3 ln(7/5) O 2-3 ln(7/5) 2 2+3 ln 7 03-In()

A: Given :∫14dx2x+3

Q: Find the horizontal asymptote(s), if any, of the curve f(x) = (x-x+) -16 Select one: Ⓒ x = 4, x=-4 O…

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Q: Evaluate (In x)³ dx

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Q: 7. The critical points of the function f(x) = 1³-272 are (a) ±3 (b) ±1 (c) +√2 (d) 1

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

Q: if z=xarctan(y/z), find ∂z/∂x at x=0, y=1, z=1

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Q: If f(x, y) = 2√x² + y² - 16, then the domain of f is the set D = {(x, y)]x² + y² ≥ 4}. Select one:…

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Q: Find the points of inflection of the graph of the function. (If an answer does not exist, enter…

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Q: What is f (x) of f(x) = 320 (2x-7)³ O4x²-28x-31 (2x-7)¹ [(8x-28)-4(4x²-28x-31)] (2x-7)¹ O4x²-28x-31…

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Q: If In (x² - y) √-x+y+1 then the domain D of the function f is given by the set f(x, y) = Select one:…

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Q: The curve y = ax³ + bx² + cx + d has a critical point at (-1,3) and has a point of inflection at…

A: We are asked to which is true for the given condition  Note: Critical points are points where the…

Q: Find f" (x), given f(x) = sec x. O f" (x) = sec³ x tan x Of" (x) = sec a tanz Of" (x) = sec³ x + sec…

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Q: Integrate: S (2x2-10x+15) gở ba tô 2x + 3 ln() + C ○ 3 ln()+ +C O 2x+3 ln()+ ○ 3 ln() + C +C dx

A: ∫(2x2-10x+15)x2-5x+6dx=∫(2x2-10x+12+3)x2-5x+6dx ∫2(x2-5x+6)(x2-5x+6)dx+∫3(x2-5x+6)dx…

Q: dz Evaluate: 5 10+2% 0 1 O Divergent 00 0-1 15

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Q: 4. (x² + y²)dx − 2xydy = 0

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Q: Explain (in words) what transformations it takes to transform the function f(x) = x³ into the…

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Q: et dx √ (e² = d − 1)(e* + 2)

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Q: Where is f(x)= x³ differentiable? (interval)

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Q: Let the function f(x) have the property that f'(x) = ¹.1f g(x) = f(x²) find g'(x). g'(x) = Solution:

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Q: If you can only answer one, please answer 99. The questions asks whether the series converges or…

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Q: f(x) = x²-3x + 7 concave upward concave downward X X

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Q: Sketch the graph of y=x+4 and give the exact coordinates for both the x-intercept and the…

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Q: Minimizing Costs For its beef stew, Betty Moore Company uses aluminum containers that have the form…

A: Given  v = pi r^2 h = 45 h = 45/(pi r^2)   the metal used is just the surface area a = 2*pi r^2 + 2…

Q: The limit lim (x,y)→(-1,2) (x²y − 3xy²) = −8 - Select one: True False

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Q: Let Find fy. f(x, y) = x²y + √√x + 5y

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Q: Solve this system of equations x2+2y=0 -y2+2x=0

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Q: Which of the following is a valid triple integral? ⒸSS ſo ſh(e) (5) f(x, y, z) dzdydr h(y,z) flus) f…

A: We have to discuss about valid triple integral.

Q: Work Problem for the question. Let where x = t = -1. You must provide a clear and detailed solution…

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Q: 2 A force of F(x)=4cos (2x)-7 sin(x), x is in meters, acts on an object. What is the work required…

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Q: EV None of the choices Ocot³ (1)-cot (1) - ○tan³ () - tan() Ocot³ (¹)-tan (1)

A: givenI=∫cot4(1θ)θ2dθlet  1θ=x-1θ2=dxdθ1θ2dθ=-dxI=-∫cot4(x)dx…

Q: a, b, and I are differentiable functions of the same variable what is the derivative of H ac b +…

A: To find the derivative of acb, here a,b and c are differentiable function of same variable. Let a,b…

Q: Let Z=ellxy-56y and x = 56t6 + 6 and y =sin(s + 56). Use the dz дz Chain rule to find and Ət - ds

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Q: Determine whether the series Σ or divergent. +∞0 (-1)" 4" 100 is absolutely convergent,…

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Q: Find (²-1) ln(x)dx

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Q: If and x = 2t, y = 5t, then the value of equal to 12. z = x - 2y, Select one: O True O False dz dt…

A: Given that , z=x-2y and x=2t , y=5t find dzdt at t=3.

Q: 2. y²dx + (x² − xy - y²)dy = 0 [Answer: (x - y)y² = c(x + y)]

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Q: 3) [A Consider the DE: -(4x³y - 16)dy = (6x²y² – 10)dx. A) Show that the differential equation is…

A: Use exact equation

Q: Consider the infinite series > Evaluate the first four terms of the sequence of partial sums. k=1…

A: Given that infinite series       ∑k=1∞1k+3       We have to evaluate first four terms of the…

Q: Find and classify the critical point of f(x,y) = -³y² - xy + y²³.

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Q: Evaluate fz² In z dz using integration by parts Oz²lnz-+c Oz-+ +c Onz-+ C Oz² Inz-+c 2₁

A: Given: ∫z2lnzdz

Q: Question 2 What is the slope of the tangent line to the graph of x² + 2xy = y² + x = 39 at x = 5…

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Q: Present a second order differential equation. Identify the corresponding auxiliary equation.…

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Q: Evaluate: cot (9) -do None of the choices ɔ+ − ( 7 ) 400 - ( 7 ) 8400 O tan³ () – tan an ( 1 ) - + +…

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Q: f(x, y) = 75 + 8x+5 Find fx, fxy, and fxyx. 8x³ e-8y

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Q: Question 1 described by the vector function r(t) = (4t² ln t, t-4 29 -2e-³t). a) Find the integral…

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Q: Explain why the vectors u₁ = (2, 4,-4) U₂ = (-4,-8, 8) form a linearly dependent set of vectors in…

A: To find the reason for the given vectors to be linearly dependent.

Q: If y = x?, then dy = a Ο 2 Δε Ο 2 Δy Ο 2 Δε Ο π*Δy

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