Consider the function f(x) = 8 + 5 21 Find the instantaneous rate of change of the function at the value x = 2. ƒ’(2) = (Round to one decimal place if needed.) = 21

Q: 2√x Use the tangent line approximation for f(x)=√√x at x =64 to approximate √√65-√√63. 1 9~691 (B)

A: We will use tangent line approximation to approximate the value .

Q: use substitution or elimination method to solve : 2x - 6y - 10 = 0 -3x + 9y + 15 = 0 please don’t…

A: given  2x-6y-10=0…

Q: Given [³F(x) f(x) dx = 19 and (a) ſº f(x) dx. (b) fºot ff f(x) 5 f(x) dx. 5 c) f³ F(x 5 (c) f(x) dx.…

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

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. (-1)^…

A:

Q: 3) Given the polynomial p(x) = x³ - 2x² + 4x-8 and the fact that x = 2 is a zero of this polynomial,…

A: Given query is to find the factors using synthetic division.

Q: Find the equation for the plane through the point P = (3,3,7) and normal to the vector n = 8i + 6j +…

A:

Q: On a certain planet's moon, the acceleration due to gravity is 1.5 m/sec². If a rock is dropped into…

A: NOTE: Refresh your page if you can't see any equations. . here initial velocity is zero so take v0=0…

Q: Find the following. [(25 + y²) dx = [(x² + y²) dy =

A:

Q: lim x²+3x-5 2x³²-=-5x+7

A: The limit value of given function is  L=1/2

Q: Please give me notes on root test, ratio test and comparison test

A: We have to write the notes for root test, ratio test and comparision test.

Q: 75. f(x) = (2 - x)ex

A: f(x)=(2-x)e^x  First Derivative  f'(x)=d/dx(2-x)e^x =-xe^x+e^x for maximum and minimum d/dx=0…

Q: Find the function with the given derivative whose graph passes through the point P. r'(0)=2+ sec ²…

A: Topic = Integration

Q: Use Newton's method to approximate √6 to four decimal places.

A: Let's find value of sqrt(6) by using Newton's method.

Q: SOLVE the ff. D.E. 2.) xydx - (x + 2y)²³ dy = 0

A:

Q: A A manufacturer can produce 2970 cell phones when a dollars is spent on labor and y dollars is…

A: We can solve the given problem by using the method of implicit differentiation.

Q: Find an angle 0 ≤ 0 < 27 that is coterminal with O -130 T OT th 692 T? 682

A: NOTE: Refresh your page if you can't see any equations. . the given angle is  first, we need to…

Q: Find the equation for the plane through the points Po(− 2,2, — 5), Qo(1, -2,-5), and Ro(-3,5,-2).…

A:

Q: Let F(x, y, z) = 6x i 3y4 4z² -j+ y² (-3, 2, 4)? Enter an exact answer. -9x + 7y k be a vector field…

A:

Q: The amount of​ carbon-14 present in animal bones t years after the​ animal's death is given by…

A: Given The amount of​ carbon-14 present in animal bones t years after the​ animal's death is given by…

Q: The amount of​ carbon-14 present in animal bones after t years is given by ​P(t)=P0e−0.00012097t. A…

A:

Q: Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the…

A:

Q: Find the integral. √(x²-7x+5) dx 1 7 de-²³-²+x-0 + 5x + c 3 2 √(x² - 7x + 5) dx = 3

A:

Q: Find all solutions of tan (3x) = 1. 1. x = 3. x= ← 12 5. x = 2. = + + 74 2nT 3 T 2nT 5п 2nT 12 3 n…

A: We have given trigonometric equation  tan3x=1 tan3x=tanπ4 tan is periodic with nπ ; Where n is any…

Q: A manufacturer can produce 2970 cell phones when a dollars is spent on labor and y dollars is spent…

A:

Q: 8 8 8 [³x³ dx = 1,020, [°x dx = 30, [°dx = 6 (x - 15) dx

A: The value of the integral is -60

Q: A particle moves along the x-axis with velocity given by v(t) = 3 cos (3t) for time t > 0. If the…

A: Given query is to find the position of the partical at indicated time.

Q: If a car gets 17 kilometers per liter of gasoline, how many miles per gallon of gasoline would it…

A:

Q: Evaluate the integral using the following values. [² x³ dx = 1,020, 8 8 √³x dx = 30, [°dx = 6 [" (ex…

A:

Q: Condense the following expressions into a single logarithm by applying the properties of logarithms.…

A:

Q: obtained

A: We have to draw the graph of the given functions according to the given information

Q: f(x) = x²/3 - 3

A: We will find the required.

Q: dentify u and. for the integral du dx U = du dx ¹/₁¹ (dux) dx. 1/un (3 = (3 - 9x²)5(-18x) dx

A: Given query is to identify substitution.

Q: Given the function g(x) = 8x³ − 48x² + 72x, find the first derivative, g'(x). g'(x) = [ Notice that…

A:

Q: If an amount P0 is invested in the Mandelbrot Bond Fund and interest is compounded continuously at…

A: NOTE: Refresh your page if you can't see any equations. . the given DE is

Q: sin (xy) = 2x + 3y Find de

A: Given query is to find derivative.

Q: 33. Find the centroid of the region bounded by the curves: a) y = x³ -x and y=x²-1.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the exact value of each of the remaining trigonometric functions of 0. 21 sin 0 = 0 in Quadrant…

A:

Q: Let Then f'(x) = f(x) = √2+ sin²x

A:

Q: Find an exponential function of the form P(t)=P0nt/T that models the​ situation, and then find the…

A: We have given population as exponential function  Initial population = 5500 Pt=P0ntT Pt=5500ntT…

Q: Find the average value of the function over the given interval. (Round your answer to four decimal…

A:

Q: Let 0 be an angle in standard position. Name the quadrant in which 0 lies. cos >0, tan 0 >0 The…

A:

Q: Find the points on the sphere x² + y² + z² = 82 where f(x,y,z) = 8x + 3y + 3z has its maximum and…

A: To find the points on the sphere x2+y2+z2=82 where fx, y, z=8x+3y+3z has its maximum and minimum…

Q: Consider the function f(x) whose second derivative is f''(x) f'(0) = 4, what is f(3)? 2x + 2 sin(x).…

A: Topic = Integration

Q: S cos (oc) Sin (x) + 3√ sin(x) dx

A: We need to evaluate :

Q: Use the Mean Value Theorem and find all points 0<c<2 such that f (2) - ƒ (0) =ƒ'(c) · (2-0) : ƒ(x) =…

A: NOTE: Refresh your page if you can't see any equations. . substitute x=2 . substitute x=0

Q: Consider the function f(x) = 2x³ 6x² slope of the function on this interval. The smaller one is By…

A: Consider the function fx=2x3-6x2-90x+9 on the interval -5, 9.To find the average or mean slope of…

Q: Find the general antiderivative for the function: f '(x) = 5x4 - 3x2 + 4, f(-1) = 2  *please use…

A:

Q: Solve the following system, using Gaussian elimination or Gauss-Jordan elimination 2Y+3Z = 8 2X…

A: NOTE: Refresh your page if you can't see any equations. . system Ax=b is   augmented matrix is

Q: + q on At the point shown on the function above, which of the following is true? Of'>0, f" 0 Of' 0,…

A: Given query is to find the correct option for the function.

Q: A particle moves along the x-axis with velocity given by v(t) = -12t + 9 for time t≥ 0. If the…

A: