dw Find using the appropriate Chain Rule for w = cos(4x−4y), where x = tº and y = 3. dt

Q: Evaluate 3x e +3 5x e 3 dx

A:

Q: Find an equation for the line tangent to the curve at the point defined by the given value of t.…

A:

Q: 6. If u = given by x = +2, where x+y+z= 1, prove that the stationary value of u is y b a+b+c' a…

A:

Q: 4. The value of A. 2 In x + 1 + B. C. D. 2 ln 2 ln 2 ln 2x² + 3x +3 (x+1)³ x + 1 + x + 1-1 x + 1|- 1…

A:

Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

A:

Q: Let f(t) be the weight (in grams) of a solid sitting in a beaker of water. Suppose that the solid…

A:

Q: Use the rational zeros theorem to list all possible rational zeros of the following f(x)=-3x² -…

A:

Q: Write the first three terms of the sequence. an = 5n-4 2 n² +4 a3 The first three terms are a₁ = ₁a₂…

A:

Q: Use power series operations to find the Taylor series at x = 0 for the following function. cos²x…

A: Taylor series of function fx at a is defined as:…

Q: To evaluate the integral 1 3 √100+ x² -dx. which of the following substitution should be used?…

A: Consider the integral  ∫3100+x2dx

Q: 20 7 6 15 - 3 2 1 0 -1 -2 -3 T 18 -6 -7 1 8 9 10 11 12 13 T 15 16 17

A:

Q: Find a function whose graph is the given curve. the bottom half of the circle x2 + y2 = 4 f(x) =

A:

Q: Evaluate the limit using the Basic Limit Laws and the limits lim, tp/q = cpla and lim,→ck = k. (Use…

A:

Q: lf f(x) = 3x sin x cos x, find f'(x)= To two decimal places, Find f'(2) =

A: f(x) = 3xsinxcosx find f'(x) = ? and find f'(2) = ? here first we use formula 2sinxcosx = sin2x and…

Q: Find the derivative for each function. a. f(x)=√x² b. f(x)=x²-3et c. f(x) = secx-cos.x

A:

Q: Find the areas of the regions enclosed by the following curves. (a) r = 1+2cosł

A: Given curve, r=1+2cos(θ) For range let r=1+2cos(θ)=02cos(θ)=-1cos(θ)=-12⇒θ=2π3

Q: 12) Find the area Under the curve y = e = from X=0 to

A:

Q: Find the area of the region inside one leaf of the three-leaved rose r = cos 30. The area of the…

A: We have to find the area of the region inside one leaf of the three-leaved rose.

Q: Graph the line with slope - 3 passing through the point (-2,-2). 4 D X 5 Ø ?

A:

Q: The graph of fis shown in the figure. The shaded region A has an area of 5.5, and #fºr f(x) dx =…

A:

Q: Find a formula for the nth term of the sequence. 1,-4, 9, -16, 25, ... Determine the sequence's…

A:

Q: For the following left-endpoint Riemann sum, given Ln as indicated, express the limit as n → ∞o as a…

A:

Q: lim (x,y)→(0,0) lim (x,y)→(0,0) 7x²+4y 4y 49x²-98xy+49y² 7x-7y

A:

Q: Find the vector equation of the line of intersection, if it exists, for each pair of planes. a. 2x…

A:

Q: ind f'(x). f(x) = ln(cos5(3x4))

A: topic:- derivatives

Q: Find the four second-order partial derivatives for f(x, y) = 2x³y² +6x5y4. fxx² fyy= x" fyx 11 11 11

A:

Q: Question 7 of 10 Evaluate lim 2-2 0 x-2 5x-2-√√/2x+4 / Ə

A:

Q: 1. The value of A. sin-¹(²*²+¹) + C 5 sin-¹(²*x+¹)+C B. C. sin-¹(+¹) + C D. sin-¹ (¹) + C 2x

A:

Q: Solve this on І Гжу. d = y T2 x y Sin mx Sin ny dx dy =?

A:

Q: 1. Consider the function f given by f(x)=√ √Int²-1dt 1 Compute the length of the curve y=f(x) from…

A:

Q: Find three positive numbers x, y, and z that satisfy the given conditions. The sum is 56 and P =…

A:

Q: ach function, determine whether it is a polynomial function. Function (a) v(x) = 8x³ +0.9x² (b) u(x)…

A:

Q: The revenue function is given by R(x) = x - p(x) dollars where x is the number of units sold and…

A: Given :Rx=x.pxpx=414-x5x=10

Q: T ecosx sin2x dx = A. 0 B. e-¹ C. 4e-1 .e-¹-1 E. 2e-1 F. None of these.

A:

Q: What is th epurpose of the second step where you multiply and divide by square root 2? Why doesn't…

A:

Q: Find the equation of the tangent line to the curve y = 8 sina at the point t ( 77, 4). The equation…

A: The curve y=8 sinx at the point π6,4

Q: Find the area between y= |x|^y=2-12x₁

A:

Q: Find an equation of the tangent plane to the given surface at the specified point. z = 4(x - 1)² +…

A:

Q: Given the points A(1,2,3,) and B(2,-2,1) Resultant, vector C, of vectors A and B (A+B) Vector AB

A: resultant vector C = A+B  = (1+2,2-2,3+1)  = (3,0,4)

Q: Ass: 一 V EXAMPLE 6 Find the area enclosed by the line y = x - 1 and the parabola y² = 2x + 6.

A:

Q: Homework: HW03 (13.1) Vectors in the Plane Find the following vector. The vector in the direction of…

A: The vector in the direction of <a,b> of length l is given by, u=[l/√(a²+b²)].<a,b>

Q: Evaluate the limit using the Basic Limit Laws and the limits limx→ x/q = pla and limx→ck = k. (Use…

A:

Q: 3 = Homework: HW03 (13.1) Vectors in the Plane Define the points Q( – 5, – 4) and R(7,2). Carry out…

A:

Q: Give the equations of any Vertical Asymptotes of f(x). Also find the equation of the Horizontal or…

A:

Q: 1. Write the x and y coordinates of any point on the unit circle in terms of the angle corresponding…

A:

Q: For each system of equations, determine if there is an intersection and classify it (point, line, or…

A:

Q: Evaluate 5x e (e5x+3)⁹ 9 dx

A:

Q: 00 Does the series (-1)+1(0.9)" converge absolutely, converge conditionally, or diverge? n=1 ...…

A:

Q: Define the points Q(3,2) and R(8,- 10). Carry out the following calculation. Find the unit vector…

A:

Q: Determine whether there is a relative maximum, a relative minimum, a saddle point, or insufficient…

A: Calculate the value of D and then decide the nature of critical point.