Start your trial now! First week only $4.99!*arrow_forward*

Question

Evaluate the line integral ∫_{c}F⋅dr, where F(x,y,z)=−3sinxi−2cosyj−xzk and C is given by the vector function r(t)=t3i−t2j+t1k, 0≤t≤1.

Tagged in

Math

Calculus

Find answers to questions asked by students like you.

Q: Express the exact value of the function as a single fraction. Do not use a calculator.

A: Given: fθ=2 cosθ-cos 2θ To determine: fπ6

Q: find the k-component of curl(F) for the followingvector fields on the plane. F = (y sin x)i + (x sin...

A: Consider the given vector field, F=ysinxi+xsinyj the formula for the k-component of curlF is, curl F...

Q: Convert 135° to an exact radian measure.

A: Given, Angle=135°

Q: Find the derivative of the function. y = ln∣sec x + tan x∣

A: given function, y= ln | sec x + tan x| we have to find the derivative of the given function

Q: A baseball player hits a pop fly into the air. The function s(t) = -16t2 + 64t + 5models the ball’s ...

A: Click to see the answer

Q: Differentiate the function.

A: Given:y=1+xe-2x

Q: What is 28.375 rounded to the nearest ones place

A: Click to see the answer

Q: Find of the following functions (a) : y = e'anz +

A: Click to see the answer

Q: The point is located on the x-axis, 12 units in front of the yz-plane. Find the coordinates of the p...

A: The point is located on the x-axis. Hence, y=0 and z=0. The point is located 12 units in front of th...

Q: Values of related functions Suppose ƒ is differentiable on(- ∞, ∞) and assume it has a local extreme...

A: Click to see the answer

Q: Sketch the graphs of the rational functions y = x4 - 1/x2

A: Given: y=x4−1x2

Q: Find the derivatives of the following function f(x) from the first principals i)x sinx

A: Click to see the answer

Q: Verify that the following function satisfy the conditions of Theorem on their domains. Then find the...

A: fx=4x+1x Differentiating with respect to x, we get f'x=4-12x32 Now to find critical values, solve th...

Q: Find the reference angle for angle -250°.

A: Click to see the answer

Q: I need correct answers for these questions. Show working out

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: Use Heron’s formula to find the area of the triangle with a = 13 yards, b = 9 yards, c = 5 yards. Ro...

A: Click to see the answer

Q: (3 . The general solution for x' 1 5 x is: -1 -2t a) "]e le+C2 -2t b) x(t)= q|, te2t c) x(1) = q,e+c...

A: Explanation of the solution is given below...

Q: Verify the identity: cos 4t = 1 - 8 sin2 t cos2 t

A: Click to see the answer

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude v = 6 Direct...

A: To find the vector v

Q: Integration Evaluate the following integrals.

A: we have to evaluate the given integral ∫8(x2+4)x(x2+8)dx

Q: Perform the indicated operations and write the result in standard form: (2 - √-3)2

A: Click to see the answer

Q: 9:49 * M @ l 75% i ww2.math.buffalo.edu/webwor 3 Section 2.6 Limits at Infinity: Problem 4 Previous ...

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for y...

Q: find the unique solution of the second-orderinitial value problem. y" + 16y = 0, y(0) = 2, y'(0) = -...

A: Definition used- The solution of the differential equation - y''+Py'+Qy=0 Then ...

Q: Simplify exponential expression. (8x3)2

A: Click to see the answer

Q: Find f(5) - f(-5).

A: Consider the provided function, fx=x2+2x-1 if x≥23x+1 if x<2 Find the value ...

Q: World oil production as shown show data for the rate of world crude oil production (in billions of b...

A: The midpoint rule is ∫abf(x) dx = Mn=∑i=1nfmi∆x The midpoints are as bellow 0.5 22.1 8.5 24.85 ...

Q: The bus fare in a city is $1.25. People who use the bus have theoption of purchasing a monthly disco...

A: We have given bus fare in a city is $1.25. People who use the bus have the option of purchasing a mo...

Q: Solve the system x + y = 6, x - y = -2 by the addition method.

A: Given equations are: x + y = 6.......(1) x - y = -2.......(2) Add the above equations, we get (x + y...

Q: An online furniture store sells chairs for $50 each and tables for $300 each. Every day, the store c...

A: Click to see the answer

Q: Divide 8i/(4 - 3i) and express the result in standard form.

A: Click to see the answer

Q: Question attached.

A: Consider the following equation: IL=I0100.1L Differentiate IL with respect to L: dILdL=ddLI0100.1L=l...

Q: Find the limit.

A: Given: limt→4t+2

Q: Find dy/dx and d2y/dx2 , and find the slope and concavity (if possible) at the given value of the pa...

A: Find dy/dx and d2y/dx2 , and find the slope and concavity (if possible) at the given value of the pa...

Q: If the original quantity is 100 and the new quantity is 88 what is the percent decrease

A: Click to see the answer

Q: Find the indefinite integral ∫ [arctan(x/2)] / (4 + x2) dx

A: ∫arctanx24+x2dx Now put, arctanx2=t⇒11+x22·12=dtdx⇒11+x24·12=dtdx⇒44+x2·12=dtdx⇒24+x2=dtdx⇒14+x2 dx=...

Q: The possible error involved in measuring each dimension of a right circular cylinder is ±0.05 centim...

A: r=3 cmh=10 cm Error involved in measuring each dimension of a right circular cylinder is ±0.05 cm. d...

Q: State true or false 0 >= -6

A: To show: 0≥-6

Q: Complete graph of polynomial function whose zeros are integers is shown (see attached), Solve the fo...

A: Given graph is,

Q: A cone-shaped paper drinking cup is to hold 100 cu. m. of water. Find the height and radius of the c...

A: Click to see the answer

Q: Evaluate and simplify y′. y = log3 1x + 8

A: Click to see the answer

Q: 9. If h(1) = 2 and h′(1) = 3, find an equation of the line tangent tothe graph of h at x = 1.

A: We know that for a function hx, the slope of function is represented by h'x. Now, slope m of the fun...

Q: Solve the equation tan2 x cos x = tan2 x on the interval [0, 2π).

A: We have given the equation as tan2x=cosxtan2x Rearranging the term in left hand side and on solving ...

Q: Use substitution to find the antiderivative of

A: Click to see the answer

Q: Solve quadratic equation. 4x2 - 16 = 0

A: Given:4x2-16=0

Q: Find the indefinite integral by making a change of variables. ∫(x + 1)√...

A: the given indefinite integral is: ∫x+12-xdx we have to find the value of the given indefinite integr...

Q: Solving a Linear System Solve the system of linear equations. 4x - 3y + z = -8 y - 3z = -4 x - y + 2...

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: You are investigating two employment opportunities. Company A offers $30,000 the first year. During ...

A: Solution: Consider the given that for company A the primary salary is $30,000 and increment annually...

Q: The rate (in liters per minute) at which water drains from a tank is recorded at half-minute interva...

A: We have We have to calculate the average of left and right-endpoint approximations

Q: Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the gra...

A: the given rational function: r(x)=xx2+3 we have to find the vertical asymptotes and the values of x...

Q: Convert the rectangular equation x2 = 6y to a polar equation that expresses r in terms of θ.

A: Click to see the answer