Use the product rule to find the derivative of (4x⁹7x¹)(5e* - 4) Use e^x for e. You do not need to expand out your answer. 20x9e-16x9-35x¹e +28x4 X

Q: Calculate the gradient, the divergence and the curl for the following fields, when possible: ₁ = e/y…

A:

Q: drawing the slope field for the differential equation , I would place slope lines of _________ at…

A: We have to find the required

Q: Evaluate the following integral using trigonometric substitution. 7/2 1 0 dx 2 (4x²+1) ² What…

A: I have stated the used formulas in the solution

Q: What is the coefficient of the term containing x^2y in the expansion of (4x+y)^3?

A:

Q: Find the derivative of the function at the given point in the direction of A. Options are: 1)…

A:

Q: 1 tan 4. Express f(x) = t (Hint: Use Integration I as a power series and find its radius of…

A: Please see the below picture for detailed solution.

Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 16x2 +…

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

Q: O O 2x4 1,34 dx +1 NIS In[x5 + 1] + € C In[x5 + 1] + C 5 In[x 5 + 1] + C In[x5 + 1] + C

A:

Q: The decay equation for a radioactive substance is known to be y = y₀e⁽⁻.⁰⁵⁴⁺), t in days. About how…

A:

Q: The formula for the volume of a cone is given below. Find the rate of change of the volume for each…

A:

Q: Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand…

A:

Q: S= 1 dx xinx

A: This is a problem related to integration. Please follow the procedure given below.

Q: incorrect

A: To find dy and to evaluate when x=-5 and dx=0.4 for the function y=2x4-45x+1.

Q: . (x + 2y) dx + (2x + y) dy = 0. ANS. x² + 4xy + y² = c.

A:

Q: Find the average rate of change of the function over the given interval. f(t) = 2t² - 5, [3, 3.1]…

A:

Q: and f(a) f(x) = 4x² + 5x² + 6x-7 3 7 2. Find f(x), f"(0), given

A: Given a function f(x)=4x3+5x2+6x-7 We have to the following of the given function, f''(x) f''(0)…

Q: Which of the following equations is/are exact? □ 3x²y² dx + (2x³y + 4y³) dy = 0 (3x²y-x²) dx + e³ dy…

A:

Q: Suppose that f(x) is a continuous function on the interval [0, π]. If f(x)=(sin x)² for 0<x<, then…

A: Since the f(x) is continuous function in [0, π], therefore the value of function at x = 0 must equal…

Q: Given [*₂h(t)dt = -5 h(t)dt = 22 and evaluate the following integral. ["h(t)dt = | [h(t)}dt h(t)dt =…

A:

Q: Let P be the point in R^3 with rectangular coordinates (√2, −√2, 2√3). How to find the cylindrical…

A: We have given rectangular coordinates  (x,y,z) = (√2, -√2, 2√3)

Q: a. b. n=1 8 n någn-1 (-5)n 1 nVn? +1

A:

Q: h of the following numbers is the radius of convergence of the p xn n •2 (7· (~^)")² ? n! n=1 5 e √5…

A:

Q: (x-2y) dx + (2x+y) dy = 0 Prove that it is a Homogenous DE using homegeneity test (degree n) and…

A:

Q: at a price of $55

A:

Q: If a ¤ R and 0 < x² < 1/2, which of the following expressions is equivalent to the geometric series…

A:

Q: polar curves. 63. The complete circle r = a sin 0, where a > 0

A:

Q: Estimate the area under the graph of f(x) = approximating rectangles and right endpoints. R₂ = x + 2…

A:

Q: Using the following graph of the function f, evaluate the limits (a) through (i). 10 8 Ay 2- of X 10…

A:

Q: Find the number(s) b such that the average value of on the interval [0, b] is equal to 6. f(x) = 6x²…

A:

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 550…

A:

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 8x…

A: Given: y=8x arccos(x-1) and point (1,4π)

Q: Question Find the change in surface area dA if the radius of a sphere changes from 11 cm to 10.8 cm.…

A:

Q: Find F'(x). F (x) = 48 [아 dt t I F(x) =

A: To find out F'(x).

Q: Find the volume of the solid formed when the area of the region bounded by the curves x²- 3y-5 and…

A: Solution

Q: Question Use substitution to evaluate the definite integral given below. [V²5 (Enter an exact…

A:

Q: Jxy co R xy cos y dA R: -1≤x≤ 1,0 ≤ y ≤

A:

Q: ind the area between two curves f(x)=8-x² and g(x) = x².

A:

Q: Evaluate the line integral [21r²yzds with respect to s along the 2 curve C : x = t₁ y = t², z =…

A:

Q: Find the vector v whose initial and terminal points are given below. (5.5,2.1), (9.5, 6.1)

A: Recall: The vector v with initial point (x1,y1) and terminal point (x2,y2) is, v=x2-x1, y2-y1 We…

Q: Eliminate A and B. y=Ae2x+Bxe2x Oy -4y2y=0 Oy +4y +4y=0 Oy²-2y-4y=0 |y-4y +4y=0

A: Given a solution of differential equation as y=Ae2x+Bxe2x. We need to eliminate constants A and B,…

Q: Find the equation for ​(a) the tangent plane and ​(b) the normal line at the point P0(1/2,1,e) on…

A:

Q: Find the vertices and foci of the hyperbola. 4x² - y² - 24x - 2y + 31 = 0 vertices smaller x-value…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Evaluate dw/dt at t=9 for the function ​w(x,y)=ey−ln x​;  x=t2​, y=ln t. Options are: 1) 7 2)…

A: Given query is to find indicated derivative.

Q: e 288 Find the values of the sine, cosine, and tangent for each LA. (10. 11. 12. A 10-12, 14-22 80 m…

A: We have to find out trigonometric ratios As per guidelines we have to solve one question Please…

Q: Sxex² dx O 2+x²²/²/2/ HI HIN 6 1 2 HIN ex²+ + C + C + C

A:

Q: Explain why if a runner completes a 6.2-mi race in 33 min, then he must have been running at exactly…

A:

Q: A silver dollar is dropped from the top of a building that is 1322 feet tall. Use the position…

A:

Q: f3ex dx

A:

Q: Which of the following functions are solutions of the differential equation y' - 5y = 0? O y = 2e5a…

A: The given differential equation can be solved by using variable - separable method.

Q: SS. R (x² +. tyl JA 2 SS 1 0 277 2 2 (r² cos²o +r sine)r de dr It is left as an an integral exercise

A: