7. Find the slope of f(x) = hundredth. In (8x²+6) -5 at (9,-1.30). Use a graphing utility and round to the nearest

Q: Use the chain rule to find the derivative of f(x) = 2(2x¹ - 9x6) ¹2 12 You do not need to expand out…

A: f( x ) = 2( 2x4 - 9x6 )12 chain rule ddx( u.v ) = uddxv + vddxu

Q: Determine the type of DE: 3x3y¹=2y (y - 3) Homogeneous Bernoulli's equation Both Homogeneous and…

A: Given Differential equation:- 3x3y'=2yy-3

Q: Evaluate the integral √x³√x²-8dx. x² - 8 dx.

A: A=∫x3x2-8dx∫xndx=xn+1n+1+c

Q: Evaluate the integral|x³√x² √x³√x²-8dx 3 2

A: We need to evaluate ∫ x3x2-8dx. So,                  ∫ x3x2-8dxLet u=x2-8.=∫u2+8u2du=∫ u4+8u2du=∫…

Q: The difference between f'(3) and f'(x) is that f'(3) is a numerical value and f'(x) is a function of…

A: Given query is to find the statment is true or false.

Q: What are the zeros of f(x) = 4 sin ²x - 2 on the interval [0,2+]? The zeros are (Type an exact…

A:

Q: Find the area of the shaded region. Round your answer to three decimal places. 0.8 0.6 0.4 2 0 -02…

A:

Q: all is launched straight up in the air from a height of 6 feet. Its velocity (teeV/second) t seconds…

A: Given velocity function f( t ) = -32t + 280 average velocity = Vavg

Q: You are in a hot air balloon, 500 m above the flat Texas plains. You look out toward the horizon. ▼…

A: Let height denoted by h Given h = 500 m = 0.5 km Given radius of the earth ( R ) = 6400 km

Q: Obtain the particular solution. (HOMOGENOUS EQUATION) 4. xydx + 2(x² + 2y²)dy = 0, when x = 0 and y…

A:

Q: Evaluate the integral √x³√x² +9dx. 3 2 [x²+√x² +9dx= .3 2

A:

Q: Question 2 The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a…

A:

Q: Find a vector of magnitude 91 that is parallel to 5i - 12j. ... The vector is (Simplify your answer.…

A: We have to find a vector of magnitude 91 that is parallel to 5i-12j.

Q: 4 Suppose H (x) = 7x² +2. Find two functions f and g such that (fog)(x) = H (x). Neither function…

A:

Q: Solve the initial value problem for a = 0 and b =1. 3y^2sqrt x^2+1 dy/dx= −x, y(a)=b

A:

Q: Differentiate the following function. y=et& dy dx d dx )= Tere

A:

Q: Find the volume of the region bounded by the coordinate planes, the plane x+y=6, and the cylinder y²…

A: We need to find limit.

Q: Use n=4 to approximate the value of the integral by the following methods: (a) the trapezoidal rule,…

A: Integral approximation ∫ 025xe-x2dx, n=4

Q: Find an angle that is coterminal with an angle measuring -125°, where 0° < 0 < 360°. Do not include…

A:

Q: Find the Maclaurin polynomial p3 (x) for f(x) = 5 tan (5x). Provide your answer below: P3(x) =

A:

Q: Write the sum using sigma notation: 8 + 12 + 16 +20 + + 48 = Σ Β, where n=1 A = B= Question Help:…

A: given   8+12+16+20+...............+48=∑n=1ABformula for nth term of A.P. is an=a+(n-1)dwhere a is…

Q: 5+8+11+14+ +47 5+8+11+14+...+47 = ΣΠ k = 1

A:

Q: Consider the function f(x) = Compute the definite integral a+2 | 5 for 0 < x < 2 for 2 ≤ x ≤ 3. 1(a)…

A:

Q: Evaluate the definite integral. 7 3 1 (2x-4)² dx

A:

Q: A metallic cylinder is placed in a machine press. During the press, the volume of the cylinder stays…

A:

Q: 47 in. Provide your answer below: a 0 The triangular shape shown in the figure above represent a…

A:

Q: Find the divergence of the vector field F = . div F

A:

Q: Find the center and radius of the circle. x² + y² + 14x - 4y= -17

A: standard form of circle is  (x-h)2+(y-k)2=r2 where centre is (h,k)   and r is radius given…

Q: Obtain the general solution. (EXACT EQUATIONS) 1. (3x²2y2) = 2xy dx

A: Answer is in step 2.

Q: Write a formula for the general term (the nth term) of the arithmetic sequence a₁, a2, a3, a4, ....…

A:

Q: Find the volume of the solid generated by revolving the region R bounded by given equation y , x…

A:

Q: Use l'Hôpital's lim X→0 lim X-0 Rule to find the following limit. 2 sin (x) - 2x 7x³ 3 2 sin (x) -…

A:

Q: 9) Let y = 3 cos(2x-7)+3. a) What is the amplitude? b) What is the period? c) Has it been translated…

A: Given y = 3cos( 2x - π ) + 3

Q: If f(x) = sin(x4), find f'(x) Find f'(4) Question Help: Video Submit Question Jump to Answer

A:

Q: Use mathematical induction to prove the statement is true for every positive integer n. 20+40 +60++…

A:

Q: Solve 3 5 x-6 x+2 IV and give your answer in interval notation.

A:

Q: Problem: A tank contains 20 kg of salt dissolved in 5000 L of water. Brine that contains 0.03 kg of…

A: We have to find the concentration of solution after 5 hours.

Q: Given z = 9+5i, find the product z. Z. Z Z= (Simplify your answer.)

A:

Q: y = sinx O y = sin ¹x y = tanx Which of the following functions of x is guaranteed by the Extreme…

A: Explanation of the answer is as follows

Q: For the following vectors, (a) find the dot product vw; (b) find the angle between v and w; (c)…

A:

Q: i dont understand the answer, can you right more

A: The answer is in step 2.

Q: 9 h(q) 2.8 2.9 3 947 1180 1470 h' (3) ~ 3.1 1832 Estimate h' (3) using the table above. 3.2 2283

A: Use three points (2.9,1180), (3,1470), (3.1,1832)

Q: Find the given quantity if v=4i - 3j+2k and w=4i +2j- 3k. ||v-w||

A: Given that v=4i-3j+2k and w=-4i+2j-3kOur Aim is to find the value of v-w=?

Q: question 23 please show all work  Find the total area between the graph of f(x) =×^2 - 6 and the…

A:

Q: Evaluate the following limits. If needed, enter oo for ∞o and -oo for -∞. (a) lim 3+ 248 (b) lim 22x…

A:

Q: 4. If f(x, y)=In(2x + 3 e), then- af axy for this function is

A: Find the partial derivative for the function f(x,y)=ln2x+3ey

Q: X 8. Determin S 5

A:

Q: (2-2) A o (Type an equation. Simplify your answer.) Type the locations of the foci. □ (Type ordered…

A: Topic:- equations of ellipse and geometry

Q: Suppose that sin(a) = 4/7 and cos(b) =4/8 define in the first quadrant, determine tan(a+b). (round…

A:

Q: question 1 please show all work! A projectile is launched straight up in the air. Its height (in…

A: