Find the gradient of the function at the given point. f(x, y) = 4x + 3y² + 1, (1, 4) Vf(1, 4) = 4(1)i+6(4)j

Q: To begin evaluating | sin*xcos°xdx conveniently, express: cos x as (cos?x) 2cosx and use the Half -…

A: Solution:∫sin4xcos5xdx∫sin4xcos4xcosxdx∫sin4xcos2x2cosxdx∫sin4x1-sin2x2cosxdxlet, sinx=tcosxdx=dt

Q: sin2x cos3x dx= sin5xdx – sinxdx A True B) False

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Q: By algebraic substitution, the integral - dx dx is converted to: 4+Vx 2 dy A y+4 2ydy B У+4 ydy (C)…

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Q: For the function f, use composition of functions to show that f 1 is as given. 7x -7 f(x) = 7x+1,…

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Q: Question 13 sin2x cos3x dx = sinSxdx - sinxdx A) True B False

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Q: Sa 4 tan e sec? Ode tan0-2tan 0–15

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Q: 2 -/2x +1 Let F(x,y) = C be the antiderivative of f(x) = What is the value of C if x=3 and y=5 ?…

A: Antiderivative

Q: Consider the following function. Function Factors f(x) = 2x3 + x² – 5x + 2 (x + 2), (x – 1) - (a)…

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Q: 0, and a root of multiplicity 1 at z =-5 The polynomial of degree 5, P(r) has leading coefficient 1,…

A: topic - polynomial

Q: Evaluate each of the following indefinite integrals: Show complete and detailed solutions. Express…

A: Given problem :-

Q: Insec (sin2y) dy Which of the following is one of the correct steps to evaluate the sec2y A…

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Q: Evaluate: Jevdx. A = 2ev/x+1)+C © - 2evã(/x+1) B + C © =2ev^(/x-1)+c

A: To solve the following integral

Q: A (2+35) + 2+j 1-j

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: f) dx. Use the areas shown in the figure to evaluate y = f(x) Area = 1.5 Area = 0.8 a d Area = 2.6"…

A: Note:- According to our guideline i didn't solved multiple questions .so please again repost the…

Q: The x² – 4 dx can only be evaluated using trigonometric substitution technique. (A True (B) False

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Q: To evaluate | sin42x cos 2xdx conveniently, the formula/identity to be used islare A sin²2x=1–…

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Q: If h(x) = cosxdx and h =4, then h (0) is equal to 4 | (A) - 4 B None 3 D -3 (E 4

A: Explained below

Q: Use the cross product to find the area of the triangle with the vertices P = (1, 1,5), Q = (3,4, 3),…

A: Here we have to find the area of triangle.

Q: please

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Q: The x² – 4 dx can only be evaluated using trigonometric substitution technique . A) True B False

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Q: To evaluate y-csc²(y³) cor²(y³)dy, we let u =csc(y³) (A) True B) False

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Q: The data is known as follows: 7 4 5 P(x) | 48 | 100 294 900 | 1210 | 2028 10 | 11 13 Using Newton's…

A: We need to apply Newton's divide difference interpolation.

Q: To begin evaluating sin*x cos x dx, express 1+ cos2x cosx to (cos?x)^cosx and use the identity…

A: We have to find out

Q: If the following series converges, compute its sum. Otherwise, enter INF if it diverges to infinity,…

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Q: A camera is set up at the starting line of a drag race 60 ft from a dragster at the starting line…

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Q: Consider the following curve. y = x, 0sxs 3 Set up an integral in terms of x that can be used to…

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Q: (sint – cos t)? =1- sin (2t)

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Q: 25 -x2 In -dx , if we let u =/ 25 – x2 , then udu = - xdx. (А) True B) False

A: We can solve as follows

Q: s) Find the equation of the tangent line to the curve y = x Vx´ +5 at the point (2,6).

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Q: Find the vector PQ × PR if P = (2, 1,0), О %3D (1,5, 2), R = (-1, 13,6) (Give your answer using…

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Q: To begin evaluating sintxcos xdx conveniently, express:

A: Given ∫sin4xcos5xdxWe can simplify this and write as∫sin4x(cos2x)2cosxdx

Q: Evaluate: Je*cos(7e*)cos(4e*)dx. 1 @ sin(3e*) - sin(11e*) + C A 22 O cos(ae) - cos(1le") +c 22 1…

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Q: 3. .

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Q: dx The only solution to evaluate is using algebraic substitution technique. 3+V

A: Follow the procedure given below.

Q: V52 -9 dx 3x

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Q: Numerically integrate f (x) = x³ + 3x? + 4x = 2 using Single-Trapezoidal Rule. 6 from a = 1 and b -…

A: (1) solution

Q: |に1寸に! Question 8 (x-2) Which of the following is/are true about the function g if g(x) 9-x+2 1. g…

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Q: 25 - x2 In dx , if we let u=V 25 – x2 , then udu = - xdx. A True B False

A: On solving this we will get

Q: To begin evaluating | sin*xcos xdx conveniently , express: A) None B sin*x as (sin?x)²and use the…

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Q: Evaluate each of the following indefinite integrals: Show complete and detailed solutions. Express…

A: I am attaching image so that you understand each and every step.

Q: sin?u In tan"udu, where m is any positive integer, we use the transformation for tan?u= cos?u A True…

A: We have to choose the correct option according to the given information

Q: 12

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Q: The result of the integral in 0 given |V y²– 25 -dy is 5 tane – 50 +C, y (A) True (B) False

A: To solve the following integral

Q: Determine the value of C in on the antiderivative of F(x) = sin°(x)cos"(x) for x = 0.205 and y =…

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Q: The area of a circle increases at a rate of 6 cm /s. a. How fast is the radius changing when the…

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Q: In't dt 1. t(9-In?t)

A: The objective of the question is evaluate the indefinite integral.

Q: Question 6 To begin evaluating J sintrecor^rdx comvenienty, express: sin'x as (sin²x) ²and use the…

A: Here we put cos^5x as (cos^2x)^2 cos x and then  Use the identity cos^2x=1-sin^2x.

Q: sin(e* ) dx sin - cos( sin-1x) + C 1-x

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Q: Find the area enclosed by the given parametric curve and the x-axis. x = 5 sin(t), y = sin(t)…

A: To find the area between the parametric curves

Q: B C a A Note: Triangle may not be drawn to scale. Suppose a = 10 and b = 7. Find an exact value or…

A: Follow next step