Find the derivative of the function g(x) = (5x² + 5x − 2) ex - g'(x) =

Q: Find the slope of the curve at the given point. 3y⁹+8x8 = 2y + 9x at (1,1)

A: According to question,Given curve,3y9 + 8x8 = 2y + 9xat given point 1, 1

Q: Suppose c is inversely proportional to the square of d. If c = 8 when d = 2, find the constant of…

A: Function

Q: For a given commodity and pure competition, the number of units produced and the price per unit are…

A: Let's find consumer surplus and producer surplus.

Q: 3. Write 2.734234 = 2.734234234... as an improper fraction.

A:

Q: Perform the matrix operation. Let A = °[4 4 -3] -16-4] O 0-31 [0-12] O [d [-2 2 -8-8 O -4 -3 0 -12]…

A: Given query is to perform indicated matrix operation.

Q: Question Which of the following is the Laplace transformation O L {f(t)} if f(t) = (cos(-3t))² ? s²…

A:

Q: Find the Equation for the Graph of a Logarithmic Function (-4,3) * (2,4) f(x) = log₂ (x ) Type your…

A: We have to find the equation for the given graph.

Q: A collection of nickels, dimes, and quarters consist of 19 coins with a total of $3.35. If the…

A: let numbwes of nickels is  x let numbers of dimes is  ylet numbers of quarters is zgiven  total…

Q: The revenue in dollars generated from a sale of x picnic tables is given by R(x) = 22x- (a) Find the…

A:

Q: 4 3. After an appropriate trigonometric substitution, the integral ²√²+4 dx becomes (c) / cot (d) S…

A: To evaluate the integral

Q: Find the area of the region bounded by the given curves. (6,12) Sh D

A:

Q: Current Attempt in Progress X Your answer is incorrect. Consider each function to be in the form y =…

A:

Q: 6. f(x) 10. f(x) 12. j(x) f(x) 14. 16: Function 3. 7. 9. 11. f(x) 13. f(x) 15. f(x) 17: f(x) 15.…

A: Match the function with the graph of its derivatives.

Q: Determine if the vector u is in the column space of matrix A and whether it is in the null space of…

A:

Q: If g(x) = f* √u² + 2 du, what is d²g / dx²? 0

A:

Q: Differentiate the function. F(t) = tº + e⁹ F'(t) =

A: Here is the solution:

Q: (Σ n=1 (−1)″r. 2n

A: NOTE: Refresh your page if you can't see any equations. . the given series is  substitute n+1 for…

Q: Differentiate the function. g(t) = 9t + 8t² g'(t) = 9+16x X

A: given  g(t)=9t+8t2we know  dtndt=ntn-1g'(t)=d(g(t))dt

Q: tan x - sin x x³ 2) Evaluate i) lim- x->0 In(10¹6x+777) et ii) lim- 848

A:

Q: If f(x) = tan 13m-cot¹3x, what is f'()? 0-3 01 3 0-1

A:

Q: Given the absolute function graphed below, find the following: -3 -12 a) Domain: b) Range: 6…

A: Answering the first three subparts of the question,

Q: Differentiate. y' = y = 3 sec(x) - csc(x)

A:

Q: If sec(a) O 4/6 6/4 = 250 88 88 13 find the value of cot(a) where a terminates in the first…

A:

Q: 3) dx xinx

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Evaluate the integral 25 (28-4) ¹3 dz 13 x6 - 4. by making the substitution u = x + C

A: SOLUTION-

Q: sin³ x + cos²x sinx = 2

A:

Q: The average cost per item to produce q items is given by a(g) 0.01g²-0.6q+17, for q>0. What is the…

A:

Q: A jet plane flies at a high speed of 400 m/s at the altitude of 1000 meters. A camera crew on the…

A: Given A jet plane flies at a speed of 400m/s at an altitude of 1000 meters.A camera crew on the…

Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A:

Q: 16) Sinx-cosy-2=0; dy = ? A) -cot X c) CosX siny B) -cot y d) -cscy cos X E) 2-COS X siny

A: given 16) sinx - cosy - 2 = 0

Q: 3. Solve the following inequality: x³ + 2x²-3x x-4 ≤0

A:

Q: Suppose g(x) has a range of [-2, 6]. Determine the range of the transformation y = 2g(x) - 5 O [-14,…

A: Given: Range of g(x) is [-2,6]

Q: 2. The equation of the tangent plane to the parametric surface x = u, y = v², z = uv at the point…

A:

Q: 4. Find the average value of g(x) 8 4+x² on the interval -2≤ ≤2

A:

Q: 14) y = Tan¹ (3); dy =?

A: 14) y = tan-1( x2 ) dydx = ?

Q: Find the points at which the following polar curve has a vertical or a horizontal tangent line. r=8…

A:

Q: Find the dimensions of the largest rectangle that can be inscribed in a circle of radius r.

A: Answer in step 2.

Q: Determine the average value of f(x) over the interval from x = a to x=b, where f(x) = - 1 X The…

A: formula for average value is  favga=1b-a∫abf(x)dx∫1xdx=lnx

Q: What is dy given that y = ln (4- x? 1 x-4 dx 4 O I da I 4 dx 4-x

A:

Q: f(t) = te4t

A:

Q: Use the graph of f(x) shown below to answer the questions J'(x) O (a) Find lim f(x). x-1 05 01/1/20…

A: see below the answer and explanation

Q: A triangular plate with base 2 m and height 3 m is submerged vertically in water so that the tip is…

A:

Q: Find the vector equation that represents the curve of intersection of the paraboloid 2=2x²+y² and…

A:

Q: Differentiate the function. g'(t) = g(t) = ln(8 + tº)

A:

Q: Question 21 Compute the given integral. 1 36x² +1 -da Submit Question A Jump to Answer +C

A: Please see the below picture for detailed solution.

Q: Using Laplace transform to solve the IVP: y" - 7y=e5t, y(0) = 0, y'(0) = 0, then, we have Select…

A: We know, L{y"}=s²L{y}-sy(0)-y'(0) L{y'}=sL{y}-y(0) L{eat}=1/(s-a)

Q: Question 2 ( value problem y" +9y = 5 sin 2t, y(0) = 0, y' (0) = 2. , Consider the initial- (a) Use…

A: To find the solution.

Q: 3. Find the maximum value of f(x, y, z) = x + y − z subject to the constraint x² + y² + x² = 6.

A: Solve the following

Q: Solve the following recurrence relations: (a) an = 3an-1-2, ao = 0 (b) an 2an-1+(-1)", = ao = 2 (c)…

A: Since, you have posted question with subparts. As per guidelines, we are supposed to answer only…

Q: Evaluate the integral by making the given substitution. sec(52)tan (5x)dz, u = 5x + C

A: we know that   dxndx=nxn-1d(secx)dx=secxtanx