Q/ By uesing chain rule Find du de For this functions E² +1 x² + y² X x = tanzt, y = e 2x a = / 11 ?

Q: Evaluate the following limit using L'Hospital's rule. Provide your answer below: دی lim (4x) X18

A:

Q: A 10-ft ladder is leaning against a house on flat ground. The house is to the left of the ladder.…

A:

Q: 3) Find a vector equation and parametric equations for the line segment that joins (-2, 4, 0) to…

A:

Q: In (x² + y² ) = 2 arctan y' 9 X

A: We know that derivative of xn is nxn-1.     Here i attached the solution of this question.

Q: What is the derivative y^2 = 64 with respect to t? O 2x dx/dt + 2y dy/dt = 0 O 2x dx/dt + 2y dy/dt =…

A: Given that,  x2+y2=64

Q: y = 1- cos 0 1+ cos 0 3

A: Solution of given question is written in below steps.

Q: A polynomial P is given. P(x)=x^3+64 A) find all zeros of P, real and complex, B)factor completely

A: Explanation of the answer is as follows

Q: A. Write the expression as a single Integral. Choose your answer from the box. Letters only. A. f…

A:

Q: Consider the space curve r(t) = (cost cos 2t, cost sin 2t, sin t). (a) Find r(t).

A:

Q: Use a triple integral to find the volume of the given solid. The solid enclosed by the cylinder y =…

A:

Q: Given the following acceleration function of an object moving along a line, find the position…

A:

Q: 32 Question * (3 Points) The proper transformation for sin²x to make the f sin²x dx readily…

A: substitution

Q: 5. y = cos x sin²x What is the appropriate formula? Solution:

A:

Q: H.w.2 Evaluate the following cartesian integrals by changing them into equivalent Polar integrals: 4…

A:

Q: Let f(x)=√18 x. Compute f'(2) using the limit definition f'(2) = Find an equation of the tangent…

A:

Q: Let f(x) = x². a) Find the tangent line to the graph of the function at x = 9. y = b) Find the…

A:

Q: ANSWER

A:

Q: Let F = Vf and f = 2zy + 8xy + 6xz. Calculate F. dr for the path r₁ = (t,t,t),0 ≤ t ≤ 1. (Give your…

A:

Q: Produce graphs of f that reveal all the important aspects of the curve. Then use calculus to find…

A:

Q: Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs…

A: As per our guidelines we are supposed to answer only three sub parts. For the solution of first…

Q: Find the area of the shaded region. 2+ 1 -1- |-3+ 2 3 square units y=x-2 y=√x

A:

Q: If F(x) = f(t) dt, where f is the function whose graph is given, which of the following values is…

A:

Q: Find the average value fave of f(x) = f(c) = fave. fave = C = between 1 and 1, then find a number c…

A:

Q: The sec√x dx is {A}=sec x³/2 + C {B} ²sec ³/2x + C 3 {C} 2 In sec √x + tan √x {D} In sec √x + tan √x…

A:

Q: Evaluate the following 2- S ( 37/3 + 5x² + 3) dx

A:

Q: Sketch a function that is continuous on (-∞0,00) and has the following properties. Use a number line…

A:

Q: Let f(x) = x² - 4x. (A) Find the slope of the secant line joining (1, f(1)) and (7, f(7)). Slope of…

A:

Q: At what points c does the conclusion of the Mean Value Theorem hold for f(x) = x³ on the interval…

A:

Q: analyze and trace the given curves y = x2 + 1 / x2

A: Explained below

Q: Find curl(F x G) = V x (F x G). F(x, y, z) = i +5xj + 3yk G(x, y, z) = xi - yj + zk

A:

Q: For items 1-5 A 10-ft ladder is leaning against a house on flat ground. The house is to the left of…

A:

Q: A street light is at the top of a pole that has a height of 15 ft. A woman 5 ft tall walks away from…

A: Consider a function y = f(x) .Then f '(x) is the rate of change of y with respect to x.

Q: IL The Hiker You are planning a 20-mile hike in the Cascades. The guidebook provides you with a…

A:

Q: Evaluate the iterated integral. [²] (x² - y²) dy dx

A: Given: I=∫-11∫-44x2-y2dydx   As we know that; The Power rule; ∫xndx=xn+1n+1+C

Q: Using Variable Separable, solve x² (y + 1) dx + y² ( x − 1) dy = 0

A:

Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x) dx.

A:

Q: Find the Taylor polynomial of order 3 generated by f at a. f(x) = 1 X+8,a=1 OA. P3(x) = -1/- x-1…

A: Use derivative for finding the taylor polynomial.

Q: 10. Consider the region bounded by the graphs of y = tan-¹x, y = 0, and x = 1. Find the area of the…

A: Let's find.

Q: 13-16 Sketch the region whose signed area is represented by the definite integral, and evaluate the…

A:

Q: 6. Evaluate any 5 of the following 6 integrals. (a) 12 dx 1 (b) (c) cos(50) de (e) [x²e² dr (d) (f)…

A: To evaluate the following integrals.d ∫xx+1 dxe ∫x2ex dxf ∫arcsin x dx

Q: The Haycock formula for approximating the surface area S, in square meters (m²), of a human is given…

A:

Q: the

A:

Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. a. f²f(x) dx y…

A:

Q: Consider the polar curves C₂: r = 4 cos 0 and C3 : r = 4 sin 0. (a) Determine the slope of the…

A:

Q: Evaluate the iterated integral. [[ (x + y) dx dy

A:

Q: Below is the graph of a polynomial function with real coefficients . All local extrema of the…

A:

Q: Comput: f dx 2+x

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

Q: Find the indefinite integral. Solution in handwritten b. f(x+1)√2- xdx

A:

Q: Solve the triangle with the given information. a= 8.3, c= 2.8, p= 19.4° b 5.7 (Type an integer or a…

A:

Q: 6. 22x+x dx 5. f 22x

A: