In Exercises 7-12, functions 2 y=h(t) are given. (a) Use the Multhvariabie Chain Rule to compute dz at the Indicated t-value. dt (b) Evaluate 7. z 3x+4y, y= 2t; t=1 8. z =* -y, y =-1; t= 1

Q: From the given technical description of the lot. Bearings N 48° 20' E Lines Distances АВ 529.60 m ВС...

A:

Q: Use Gauss-Jordan elimination and LU decomposition to solve: 2x1 + x2 – X3 = 1 5x1 + 2x2 + 2x3 3x1 + ...

A:

Q: 7. Find the DE of all circles touching the x-axis at the origin. 8. Consider the initial value probl...

A:

Q: 16. Choose the best answer. Find sin uusing half angle identities. u= 90 D0.7071 -0.7120 O-0.9801 O ...

A:

Q: on(1-y)csc²( y) dy

A: This question can be solved using the concept of integration by substitution.

Q: 3x-5 12x+41 7. The derivative of g(x) = 8. The derivative of y = V5x² – 6 is y' = is g'(x) = (4x+7)2...

A:

Q: Evaluate (2 sin? x cos3 x dx 0.

A: The given integral,     ∫0π2sin2x cos3x dx

Q: SEQUENCES) given the nth term a↓n , find the first four term of each sequence

A: This question is from series where a nth term is given and we can find any term by putting value of ...

Q: 8(x – a) + 8(x + a)

A: Topic:- calculus

Q: Find the value of 'n' that satisfies the equation: „C, =, C, the correct value of n)

A: We will find the value of n as shown below

Q: (x +Jy?+1) dx x-(y- dy = 0 り*+1

A:

Q: [2x + ycos(xy)]dx + xcos(xy)dy = 0 %3D

A:

Q: lim, 5 f(x) = 2, what is the value of 2 lim, 5[f(x)]° ? О а. 6 O b. 12 c. О с. 8 O d. 16

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Find the area of the triangle determined by the points P, Q, and R. Find a unit vector perpendicular...

A:

Q: A particle moves along a straight line and has acceleration given by S"(1) = 4t +3. Its initial velo...

A:

Q: 4. y = tan(x+ a), 5. y = Aex + Be2x, 6. y = A sin 3x + B cos 3x, ,where A and B are arbitrary consta...

A: According to bartleby guidelines when student ask multiple subpart question then expert must have to...

Q: QUESTION 7 Choose each TRUE statement from the options below. (No work is required to be DA x2+1 x²(...

A: We have to find true statement.

Q: 1. Find: (a) the intervals on which f is increasing, (b) the intervals on which f is decreasing, (c)...

A:

Q: (cos 2y-3x²y³) dx +(coS 2y -2x sin 2y-2x*y) dy =o 2.[2x + y cos (xy)] dx + x cos (xy)dy=o 3. (xy²+ y...

A: Using method of exact differential equation.

Q: S3cos³x - 1- sin?x To evaluate (x, the integrand can be transformed to A S(3cos?x + csc?x) dx B) 8 3...

A: The given integral,        ∫3cos3x-11-sin2xdx

Q: 7. Consider the region above the x-axis and below y = e-ª with x > 1, shown below. 1 4 Consider a wi...

A: The solution are next step....and please like this solution..and any doubts then please ask me 

Q: what is the equation of a parabola with a vertex at (4, 8) and a directrix at y=5

A:

Q: Determine the equation of the curve whose tangent line at any point (x, y) is e* - cos x and passes ...

A:

Q: Evaluate the iterated integral. dx dy dy = (Type an integer or a simplified fraction.)

A: To evaluate:∫17∫0414x3ydxdy

Q: Given that 7(1 + h) – 7(1) = (h - 1 + cos(h), e" -e-", In(2h + 1)) for all h where -. a 7'(1 : (inpu...

A: We will use the definition of derivative to find r'(1) as shown below

Q: Tutorial Exercise Find the derivative of the function. F(t) = 5 sec (mt - 7) Part 1 of 5 into f to m...

A:

Q: Find the slope of the tangent line to the sine function at the origin, (a) y = sin(4x) 15 y'(0) = 4 ...

A:

Q: Suppose that a particle moves along a straight line with velocity defined by v(t) =2t2 -t - 3, where...

A:

Q: 4. Let V(t) be the amount of air in a balloon at any time t, find out whether the balloon is being f...

A:

Q: Given that "h(x) f(x) = r h(-1) = 5 h'(-1) 8 Calculate f'(– 1). Hint: Use the product rule and t

A:

Q: Obtain a family of solution a. (x -y ln y + y ln x)dx + x(ln y - ln x)dy = 0

A:

Q: sin(2x) dy for y = dx Find V2-25 dy dx

A: topic - derivative

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A:

Q: 4. Find the limit: lim (b) lim -5x+4 x-4 X-4

A: We can find the limit using the L'Hospital rule.

Q: * +3 Vx -dx ? What is the antiderivative of 1/3 (A 6x2 C B 9x /½, ,/3 + C + 2x © x (2x% +9) + C D + ...

A:

Q: 49 -dx Find the antiderivative of 7* + C 2 In 7 A 7* + C In 7 (B 2 In 7 + C In 7 + C 7* D

A: topic - indefinite integral

Q: Solve the following Integral Equation: |frkt = xkfr =sin(t)- cos(1)+ 1(7),

A:

Q: of Find (7,- 2) if f(x,y) = 4x² + 7xy - 3y? + 6x - 5y - 2. of (7,- 2) = (Simplify your answer.)

A:

Q: The current population of a small town is 3910 people. It is believed that town's population is trip...

A: In this question we have to find the population of the small town after 3 year from now.

Q: Find the exact value of each expression. 1) cos (2) 3) cos 2. 5) sin¬1 –1 -1 9) sin' 1 1 11) cos 2.

A:

Q: Find the equation of the curve for which y" = x, and which passes through the point (1, 2) with a sl...

A:

Q: Listen Rewrite the vector as a linear combination of unit vectors. v = Ov= -2b + 9c Ov = -2j+9k Ov ...

A: For equivalent vector magnitude and slope must be same

Q: 4x2 - 15x-4 Let f(x) = Find the indicated quantities, if they exist. X + 9x - 52 (A) lim f(x) (B) li...

A:

Q: 1. Evaluate xy² dA, where D = {(x, y) | sin a < y < 1/2,0 <a< 7/6}. %3D

A:

Q: Write down your complete solutions. Enclose all final answers in a rectangle. 1. Obtain the Derivati...

A:

Q: Sketch the graph of the following piecewise defined function. Label three points on each piece and g...

A:

Q: Question 1 Let f (x, y, z) = In (1+ x³ + y4 + 25) Find an equation for the tangent plane to the surf...

A:

Q: dx 4x = 2e2t + e4 dt

A: NOTE: Refresh your page if you can't see any equations. .

Q: The cost of certain piece of machinery is $ 700 and its value is depreciating with time according to...

A: We have to find the value after 6 years.

Q: 3. Determine the the points where the following function assume relative extreme values. Classify wh...

A: