Find the total mass of the wire with density p whose shape is modeled by r. r(t) = t'i + 2tj + tk, p(x, y, z) = kz (k > 0) 1sts6

Q: simplify

A: We have to simplify  of the given expression

Q: Integration of (Sin(x) + Cos(x))e^x is_

A:

Q: Find the particular solution determined by the initial condition. f'(x) = 3x273 - 6x; f(1) = - 7…

A:

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³ – y³, P(10,…

A:

Q: Consider the following. u = -6i - 4j – 2k, v = 4j + 4k (a) Find the projection of u onto v. (b)…

A:

Q: Si sin“ (3y) cos® (3y) dy 128 2340135 128 780045 O 9.64 x 10 4 O 2.89 x 10 3

A:

Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 6t, y = 8 -…

A:

Q: Find the gradient of the function at the given point. g(x, y) = 20xeY/x, (9, 0) %3D Vg(9, 0) =

A: We can find the gradient as below.

Q: Find the dimensions of a rectangle (in m) with area 216 m2 whose perimeter is as small as possible.…

A: We have to find the dimensions of the rectangle.

Q: Let f(x)=4x^2−4x^4. Find the open intervals on which f is increasing (decreasing). Then determine…

A:

Q: Find the area of a triangle PQR, where P = (2, – 3, – 4), Q = ( – 6, – 2, – 6), and R = (5, 6, – 6)

A:

Q: 9) Determine the Convergence fue series dirergonce of It Anyuners a) conneryes 5) diverges 9 Theorem…

A:

Q: ercise To Try 4 (A piecewise function.) Find the area under the graph of f(r) and ve the x-aris…

A:

Q: Dis bounded by the planes y 0, y 2,x=1, z=0 and z =(3-x)/2. Evaluate the triple integral with order…

A: Given Dis bounded by the planes z=3-x2,y=0,y=2,z=0 and x=1

Q: Σ E n=2 n·ln(n)

A:

Q: The föllowing function is differentiable at all x except at: a-1 cod x=2 b=-1 and x=2

A: To solve the following problem

Q: Finding Vertical Asymptotes In Exercises 63–68, find any vertical asymptotes of the graph of the…

A:

Q: Siven f(x, y) = 4e3" sin(3y) hen Vf(0,5) = 2 Question Help: DVideo MMessage instructor Add Work…

A: Given query is to find indicated derivative

Q: sin r da 4.

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

Q: Let s be an acute angle and sin (s) = Find the value of cot () exactly. (Give an exact answer. Use…

A:

Q: Find the tangent plane to the equation z = 7e. 4y at the point (8, 16, 7) = Z Question Help: D Video…

A: Given z=fx,y=7ex2-4y        Point x0,y0,z0=8,16,7 To find the tangent plane:

Q: The dimensions of avectargubr region are varying with the bimeltsaccoding 1-2728 cmfsee and wa3t+6…

A: L= 2t2-8w= 3t+6Let A be the area of rectanglegiven : dAdt= 360 cm2/sec   A= L×wA=(…

Q: Find a polar equation for x? + y² = 2

A:

Q: lim 1 1-x = 2 Select one True False

A: We can check it true or false as below.

Q: A mechanic uses a one foot wrench to turn a bolt. The wrench makes a 29° angle with the horizontal.…

A:

Q: Qi: The dimensions of a rectangular region are varying with the time (t) according to: L = 2t2 -8…

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

Q: Determine the magnitude of the complex number, X. x-(8e(4ery

A:

Q: 2. Apply Maclaurin's series to obtain the first 5 terms in the series for e ,

A:

Q: 6 Use a trigonometric identity to find cos (x - - ) if sin (x) = (Express numbers in exact form. Use…

A: Use trigonometric identity

Q: xdx + ydy = (x² + y²)dx

A:

Q: 2. Find the volume oF solid obt ained by revolving the region bounded by the about the x- axis the…

A:

Q: cOs x dx |(sin? z + 4)%/2 1 sin x sin x cos x 1 cos x +c +c 16 vsin ²x + 4 48(Vsin ²x + 4 16 Vsin 4x…

A:

Q: 5. Evaluate: (а) ( 5х*-х-4) dx (Б) Г(2х+4)(3х +6)dx

A:

Q: Let f(x)=x^3-2x^2-4x+104 on the interval [0,3]. A. Find all crirical numbers of F(x) inside [0,3]…

A: We have to calculate absolute maximum and minimum.

Q: Let I = / (7x + 14y²) dA where %3D D is the region between y = 3x² and y = 12. a) Sketch the region…

A: see below the answer and explanation

Q: Differentiate y=x^lnx

A:

Q: Please

A:

Q: QUESTION 9 Solve the problem. Doctors in a certain city report 27 confirmed cases of the flu to the…

A: Note:- as per our guidelines we can solve only one question please post 2nd question in other…

Q: Determine the critical point and find for the maximum and minimum values at closed interval for the…

A:

Q: show

A:

Q: A farmer's house sits 3 miles due south of a river. The diagram below shows the path that the farmer…

A: First assume a distance as x then make the relation between total  distance  and x.. And then for…

Q: Find the radius and interval of convergence for the series (n!)2 (2n)! (æ – 5)³n - n=1

A:

Q: The value of the integral 1 2 x²y° dy dx is: 2..3 1

A:

Q: esin 2x [In (cos 2x)]?

A: Given: fx=esin2xlncos2x2   As we know that; The Quotient rule: fg'=f'·g-g'·fg2 The Chain rule:…

Q: Free-Falling Object In Exercises 37 and 38, use the position function s(t) = -4.9f + 250, which…

A:

Q: Write the form of the partial fraction decomposition of the rational expression. Do not solve for…

A: Reducing to partial fractions

Q: x20 is continuous at x-0, then a = a+sinx If the function f(x): 2+2acosx x<0 a. 1 b. -1 O c. 2 d. -2

A:

Q: Evaluate * Vx² – 1 dx.

A: Given,  ∫ x2-1x2dx

Q: Make a sine wave with the given amplitude, period or frequency, and phase shift. Use the form y = A…

A:

Q: xD'(x) Find the demand function q = D(x), given the elasticity conditions. Recall that elasticity of…

A: