Find the gradient of the function at the given point w = x tan(y + z), (7, 15, -5) Vw(7, 15, -5) =

Q: Estimate the area under the graph of f(x)=1/x+1 over the interval [3,7] using ten approximating…

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Q: Evaluate: lim 8118 x6x² + x²-1 8x6 + 4x³ + 10

A: see below the calculation and answer

Q: If f(x, y) = A In (x² - y) -x+y+1 O {(x, y) x² > y, {(x,y)|x² ≥ y, ○ ○ {(x, y) x² > y, | then the…

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

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Q: Assume mmh (x) = f(g(x)) such that the first an exist g Second derivatives of both of and What is b"…

A: Assume h(x) = f(g(x)) such that the first and second derivatives of both f and g exist  We have to…

Q: Region A is bounded by the parabola x = y², the line y = 1, and the y-axis. Region B is bounded by…

A: As per the instruction, we will be answering the first question. Given: We need to find the volume…

Q: tify the intervals where f is increasing, decreasing, concav ard and concave downward. Identify all…

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Q: What is the value of the derivative of f(x) = (x-2)(x² +1)³ est x=1?

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Q: Question 40 The graph of y=2 is concave downward for all values of such that. 0 x 2 0x 0 < Previous

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Q: Question a) b Let f(x, y) = x³-4xy² x²-2y Find the first partial derivatives of f. Determine whether…

A: According to question,Given Function,fx, y = x5 -4xy2x2 - 2y

Q: For the limit, lim (x,y)→(0,0) sin(x² - y²) x² - y² if we approach along y-axis, we will get 1.…

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Q: Find the general solution of the following differential equation. y” + 5y′ − 14y = 0 NOTE: Use c₁…

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Q: Find 7 sin² (7x) dx

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Q: Given A = -1 0 22]₁ compute 3A

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Q: The following limit lim Select one: 16 equals 1 3 equals 0. does not exist. None of them equals 2x²…

A: To evaluate the following limit.limx,y→-2,2 2x4+2y43x2-3y2

Q: Question 1 function r(t) = (tª In 1, ¹2³, −3e¯³¹). a) Find the integral r(t)dt. b) Find parametric…

A: Here, r(t)=t4ln t, t-32,-3e-3t

Q: x+2, The function f(x) = 2x², Select one: Ⓒ True False x≤1 1<x<3 is continuous from the right at x =…

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Q: Use a triple integral to find the volume of the solid bounded by the graphs of the following…

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Q: S sin² 2xcos² 2xdx

A: This question is based on indefinite integral using Trigonometric formula.

Q: 9 -8 -7 y=x+2- 3 4 5 7 8 9 10 Find the average value of f(x) = x + 2 on the interval [1,4]. Hint:…

A: The average value of fx=x+2 on the interval 1,4

Q: f(x) = log(x)+x g(x)=In(x-1)+7 X -10 (1.002.1.004) (8.047,8.953)

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question. Please…

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: Let z = √√√7xy +9y, and x = s³ and y = 1². Use Chain Rule to find dz when t = 1 and s = 2. ds

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Q: and x = = z = e-22 In (2-y), Select one: O True O False - 6t, y = t-s, then the value of 3 is equal…

A: In this question we have to find whether the given statement is True of False.z=e-2x…

Q: A solid figure projects the same shape on the x-y, y-z, and x-z view. Which of the following…

A: Note that the sphere will projects circles on the xy, yz and xz view.

Q: For the limit, lim (x,y)-(0,0) if we approach along x-axis, we will get 0. Select one: True sin(x² -…

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Q: Given the function f(x, y) = √2x + y = 1 - x + 1 Select one: O None of those O D= {(x, y)]y > 1 +…

A: To find out the domain of the given function..

Q: 22. Use the Rational Zero Theorem to help you solve the polynomial equation 2x17x³ +46x²-43x + 12 =…

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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: Determine whether the given set of functions is linearly independent on the interval (-∞o, co). f(x)…

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Q: What is f (3) When x²-9 X-3 f(x) = x when XX3? Assume that f(x) is a function that is continuous for…

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Q: Evaluate f cosh² x dx đ (sinh 2 từ t + x) + C O 2r O2e² +42 + C 8 O None of the choices…

A: We have to evaluate  ∫ cosh2(x) dx

Q: If z = x - 2y, dz and x = 2t, y = 5t, then the value of dt Select one: True False at t = 3 is equal…

A: Here, the given functions are: z=x-2y,x=2t, y=5t⇒z=(2t)-2(5t)⇒z=2t-10t⇒z=-8t

Q: 8x³ - y³ 3 lim (z,y) (1,2) 2x - y Select one: O equals 12. O equals 0. O None of them O equals 4. O…

A: Lim(x, y) -(1,2)(8x3-y3)/(2x-y).

Q: area bounded by a = √y, x = 0, and y = 3 with the axis of revolution at y-axis using horizontal…

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Q: What is the equation of the tangent live the When X = 4 √(x) = ² -6√x cheve f(x) = 3/

A: Given ::fx=8x-6xx=4

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: $] A) Solve the IVP: 2) [23 (2x - 4). - 2 ln 5x + 2y = 0, y(3) = 3. dy dx B) Give the largest…

A: Concept: Initial value problem (IVP): Initial value problem (IVP) or Cauchy problem is the term used…

Q: If p = (7, 2), then find -2p.

A: If p=7, 2, then to find -2p.

Q: Given the matrices A B. If my possible = not possible 0 1 3 -2 and B A. It is Select an answer to…

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Q: √x +3 If f(x, y) = xy + 7 the domain of f(x, y). Select one: True False then the point (1, −7) is in

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Q: In(t³ r(t) = 4 lu(t²+1); - (4e-2 - 5e"); _ sin³t 5e²t)j -k, + 1 t3 then the limit lim r(t) equals…

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Q: Find the following using the table below. I 1 2 3 f(x) 1 3 4 f'(x) 4 1 g(x) 4 1 3 g'(x) 2 3 33 4…

A: Given that h(x) =fg(x). We have to find h'(3) that is derivative at x=3. Now, ddxh(x) =ddxfg(x)…

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

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Q: Use Example 1 as a model to evaluate the limit n limf(c)Ax; i=1 n180 over the region bounded by the…

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Q: (zin z + 5)dz

A: The given integral is [xlnx+5] limit from 1 to 3.

Q: Inverse functions Let f(x)=11x+10   Find f^−1(x)  f^−1(x)=

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: The function is continuous from the right at x = 2. Select one: True False f(x) = x+ 2 x². x < 2 x22

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Q: Which of the following sets of vectors in R³ are linearly dependent? Note. Mark all your choices.…

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