A B O A OB D 1 4 1 4 f sec² (4t) (3 tan(4t))³ dt 1 16 (3 tan (4t))+ + C (3 - tan (4t))+ + C E None of the Above C D 1 16 (3 tan (4t)) + C (3 tan (4t))+ + C

Q: If f(x, y) = x cos y, then fry(0, 1) = ? Select one: O 1 -1 O None of them sin y

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Q: Question then the range of f is the interval [0, 12]. Select one: O True : If f(x, y) = 3√/16 - x² -…

A: This question can be solved using the concept of domain and range of multivariable function.

Q: 1 -1 tan X x² +1 -dx

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Q: (a) lim tan coth an [ coth()] -0+I

A: Solution is given below:

Q: The partial derivative of the function f(x, y) = 4x² – 3xy + 5y-e³+8y with respect to x is: Select…

A: To find out the partial derivative of the equation.

Q: Use MUPAD to determine the following indefinite integrals (7.1) (7.2) (2ax-x²)³ dx. S (7.3) Obtain a…

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

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

A: Given y''+5y'-14y=0To find general solution:

Q: Evaluate the limit: limo* [cos(3x)]= O e-3 03 e 01 ◄ Previous

A: To evaluate the limit.

Q: A region is bounded by the curve y = √√2 - x and the lines y = -x and the x-axis. The integral…

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Q: Consider the following. lim x3/x x→0+ (a) Describe the type of indeterminate form (if any) that is…

A: Given problem:-

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: The integral 2 fossin drde is equal to π/2 O-1/2 O 1/2 0 1 00 10

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Q: Find the limit lim 3-0 Select one: 04/3 None of these Does not exist -8/6 00 8x² + 7x-9 6x²-2 if it…

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Q: Evaluate: ffdxdydz 0 - 12/1 0 1 0/1/201 0 -1

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Q: Part c: ( 1. Find the gradient of the function f(x, y, z) = ln(xy) - zx² at the point (1, 1, -1). 2.…

A: We have to find the gradient and directional derivative.

Q: f(x, y) = 6√x - y²e-³xy е a) b) + elw Find få and fy. Evaluate frzy (4, −1).

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Q: If the line y = 2 is the horizontal asymptote of the curve y = f(x), then /(2) is undefined. Select…

A: To find whether given statement is true or false.

Q: A man of height 1.9 meters walks away from a 5-meter lamppost at a speed of 1.1 m/s. Find the rate…

A: topic- application of derivatives

Q: Question Select one: equals 4. None of them does not exist. equals 12. equals 0. 8x³ - y³…

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

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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: Find a set of parametric equations of a circle centered at (2,3) with a radius 2 generated clockwise

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Q: Given the system x + 3y = 10 2x - y = 6 a) Create the augmented matrix of the given system b) solve…

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Q: 2n Consider the series ₁ (-1)" (1 + 1)². Which of the following statements is true? n=1 The series…

A: A series ∑n=1∞ an is said to Converge Absolutely if the series ∑n=1∞ an converge and Conditionally…

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

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Q: Identify the open intervals on which the function is increasing or decreasing. (Enter your answers…

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Q: (x, y) 5) 4x2+2y2 Find the domain of f. Show that the limit does not exist. lim f(x,y) (x,y) → (0,0)

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Q: Evaluate cosh² x dx 0 (sinh2n +a). +x) + C O2e² +42 + C 8 O None of the choices O cosh(z)sinh(z)++C

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Q: J7 -dz 21-8

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Q: What is the slope Curve y = of the +9 tengent Jine to the when X=4?

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Q: Evaluate: 0 tan-¹ (0) de arctan(0)—0 2 giarctan0+ + C arctan0+ arctan(0)–0 2 -arctan0+C 0–arctan(0)…

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Q: Question 2 [ Given the function xye* f(x, y) = 2x³ +50y² a) Find the domain of f. b) Find exist. lim…

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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: Question af If f(x, y) = xy² - x ln(y) find Ət if x(t, s) = s² - st³ and y(t, s) = e-st²

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Q: The radius of a circular disk is measured as 24 cm with a maximum error of 0.2 cm. By the…

A: The radius of a circular disk is measured as 24cm with a maximum error of 0.2 cm.

Q: Find the following Wronskian: W(4, 3t, e-³¹, te-³1) O-972e-6t 0-972e6t 6 972e6t O 972e-6t 00 O-6

A: We can find the Wronskian .

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

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Q: es Ous es les eButton Orations 365 Approximate the value of 22.5 O4+4 In(2) 06 O4+2 In(2) O4 +0.5…

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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: 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: Let f(x) = = √9 - x + 5. Determine f-¹(x) and the the domain of f¹(x). ƒ-¹(x) Domain of f-¹(x) = =…

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Q: Which of the following theorems does not require the differentiability of the given function? a.…

A: We can check in which theorem , the condition of differentiability of the given function does not…

Q: E A4 sin (e-² + ln z) + C 4 sin (-e-²) + C B O A § 4 (½ − e¯²) cos (e¯² + Inz) dz B E None of the…

A:

Q: If then fxx = Select one: True False 2(y² + y) (y - x)³ f(x, y) = x + y² y-x

A: According to question,Given Function,fx, x = x + y2 y-x

Q: 1/4 1 1/12 √√x (4x + 1) √x (4X - dx

A: See the details solution in below

Q: lower sum upper sum Function f(x) = 9 - 2x s(n) = S(n) = Interval [1, 2]

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Q: 10 20 30 (a) Draw the tangent line at each labeled point. y 5 4 3 2 1 O y st 5 4 3 2 1 10 20 30 10…

A: Please see the below picture for detailed solution.

Q: Which of the following is not true? d dx O d dx d d.x [sech a] = sech z tanh x dx [csch a]=-csch a…

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Q: Question 38 The critical point of f (x) = (sin x) (cosa) on the interval (0, π/2) is at x = Ono…

A: