Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the unit vector u = cos i + sin 0 j. f(x, y) y P(3, 0), 0 = π 7x + y eBook

Q: Perform the matrix operation( multiplication of 3x3) 1 3 2 1 4 -3 02 3 LO 0 -4 [0 3 0 0 2 -1] 2

A:

Q: Find the derivative of y with respect to x. 1 y=x' In (x)---x obra d we do O A. 7x5-x² OB. 8x5-x2…

A:

Q: Evaluate the following expressions. Your answer must be an exact angle in radians and in the…

A:

Q: Find the maximum and minimum values of the function f(x, y, z) = 3x - y - 3z subject to the…

A: The given function is;  f(x,y,z)=3x-y-3z Constraints x2+2z2=144 and x+y-z=3.

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

A: Given problem:- Find a set of parametric equations of the line with the given characteristics. The…

Q: (c) A particle is moving such that its instantaneous speed as a function of time t (s) is given as…

A: A particle is moving such that its instantaneous speed as a function of time t s is given as…

Q: Evaluate the double integral Answer: z²y dA, where D is the top half of the disc with center the…

A:

Q: A paper company needs to raise money for expansion. The CEO of the company issues a 10-year $1,000…

A: Given Face value of fond, F=$1000 Coupon priceC=$30 Interest rater=7% per anum Time period = 10…

Q: at ch Use the Fundamental Theorem to show that the following is true. a f b C b [ f(x) dx = ff(x)dx…

A:

Q: Given z = f(x, y), x= x(u, v), y = y(u, v), with x(4, 2) = 5 and y(4,2)= 1, calculate zu(4, 2) in…

A: Given that z = f(x,y) , x =x(u,v) , y=y(u,v)  we have to find zu(4,2)

Q: Given f(6)=3, f′(6)=11, g(6)=−1, and g′(6)=7, find the values of the following (a) (fg)′(6)= (b)…

A: Let's solve.

Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

A: given differential equation 5y''-24y'-5y=6

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A:

Q: Without using a calculator, find the exact value of the expression: 20 cos(-315°) - 6 cot( - 135°).

A:

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

A: This is a problem related to vector. Please find the procedure given below.

Q: Find the domain of the function f(x) domain? = 1 √ x² + 1x 30 . What is the greatest value of a not…

A: The given function,  fx=1x2+x-30

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

A: To find the component form of v given its magnitude and the angle it makes with the positive…

Q: Estimate the area under the graph of f(x)=1/(x+3) Over the interval (-2,1) using 8 approximating…

A: Given question:- Estimate the area under the graph of f(x)=1/(x+3) Over the interval (-2,1) using 8…

Q: Solve the differential equation by variation of parameters. y" + 3y + 2y We have found that the…

A:

Q: or m tid 4x x² + 1 The percent of concentration of a certain drug in the bloodstream x hours after…

A:

Q: Suppose that the graph below is the graph of f '(x), the derivative of f(x). Find the open intervals…

A: To find the inflection point.

Q: In 1960, the population of a town was 1414 thousand people. Over the course of the next 50 years,…

A: We need to find out the population in 2020.

Q: What is the gradient of f(x, y, z) = x³₂² + y³z +125z - 1 at P(5,5,-1) ? 75i + 75k -75i - 75k 75i -…

A:

Q: Solve the problem. Find the amount of interest earned on the following deposit: $1,000 at 4%…

A:

Q: Determine whether the given set of functions is linearly independent on the interval (-00, 00). f(x)…

A: Follow the procedure given below.

Q: Write the expression as an algebraic expression in u, u>0. cos [tan-¹)]

A:

Q: Use the graph of the function f(x) to locate the local extrema and identify the intervals where the…

A:

Q: A bank offers a 12% interest to be compounded annually. How much should a teacher deposit now if he…

A: A bank offers a 12% interest to be compounded annually. The teacher wants to receive Php. 15000 at…

Q: A barrel is shaped like an ellipsoid with equal pieces cut from the ends by planes perpendicular to…

A: Given a barrel of height 2h and radius at center R and at the has radius r. To find a formula for…

Q: derivatives-and-the-shape-of-a-graph and the Shape of a Graph -5-4-3 202. f'(x) For the following…

A: The given graph is of f'.        If    f'> 0 at a point , then  f is increasing.       If  f'…

Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

A:

Q: Find the inverse function and graph both f(x) and f(x) on the same set of axes. Check your work by…

A:

Q: Find the critical points of the following function. Use the Second Derivative Test to determine​ (if…

A:

Q: . Finish showing the Complementary Slackness Theorem by establishing that under the hypothesis of…

A:

Q: s ide Jan and Jim started hiking from the same location at the same time. Jan hiked at 2 mph with a…

A:

Q: 9w k=1 k² +2k*r 8k² +1 A. By the properties of 1. geometric series 2. p-Series 3. Divergence Test 4.…

A: Divergence Test: If limk→∞ak ≠ 0 then ∑k=1∞ak diverges.

Q: (a) Find an equation of the tangent plane to the surface at the given point. x+y+z= 12, (5, 5, 2)…

A:

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: Given plane is passing through the points (4,2,1) and (4,1,-6). Let A,B C are direction ratio of…

Q: 4 3 1 -1 & Find lim The graph of the function f(x) = tanx is given above for the interval z = [0,…

A: Topic = Functions

Q: x, evaluate each expression.

A:

Q: Find the absolute extreme values of the function on the interval. F(x)= == 3 21 0.5≤x≤2 OA. absolute…

A:

Q: Consider the following second-order differential equation. 6y" + y = 0 Find all the roots of the…

A:

Q: Activity no. 3. 1. At 2:00p.m., a thermometer reading is 80°F is taken outside where the air…

A:

Q: Find the critical points of the following function. Use the Second Derivative Test to determine (if…

A: To find the critical points of the following function. By using the Second Derivative Test to…

Q: Evaluate the following integral: dx So √1-x²

A:

Q: Estimate the area under the graph f(x)=1/(x+3) Over the interval (-2,1) Using 8 approximating…

A:

Q: Use partial fractions to evaluate the following integral: x³ +6x²+3x+6 dx x³+2x²

A:

Q: ct rit Find the x-value of all points where the function below has any relative extrema. Find the…

A:

Q: Evaluate the triple integral of f(x, y, z) = cos(x² + y²) over the solid cylinder with height 8 and…

A:

Q: What is the slope of the line tangent to the graph of y=tan 1(-2x) at x = 2? The slope of the…

A: