3x 16x³ +24x² - 9. Find: 10. Given f(x) = a) All maximum and minimum points b) All intervals wher

Q: -t g(x) = f* e²²-¹ dt Sx

A:

Q: Find the limit (if it exists). lim f(x), where f(x)= x+1- [x³ +2₁ x < 1 x+2, x ≥ 1

A:

Q: -X 17) y=e^· cos(2x); dy = ? -X A) -ex (cos 2x + 2sın 2x) B) e (sin 2x- ccs 2x) c) 2ex Sin (2x) -X…

A: Given:- y=e-xcos2x

Q: 13. The function has the 1st derivative given by f'(x) = -x(x+3)(x - 1)²(x+4)³. What are the x…

A:

Q: A ladder 15 feet long is leaning against the wall of a house (see the figure below). The base of the…

A:

Q: Angle is in standard position and (-4, 0) is a point on the terminal side of . What is the value of…

A:

Q: Part b pls

A:

Q: 23. lim 848 5√√x+3 1 - 17x²

A: Solve limit

Q: Transform the given differential equation into an equivalent system of first-order differential…

A:

Q: 3) Find curl (xyi + yzj + zxk)

A:

Q: 8) Let 1=₁dx, then: a) I converges to b) I converges to 12 c) / diverges d) None of the above

A:

Q: The measurements of the base and altitude of a triangle are found to be 46 and 34 centimeters. The…

A: Given information altitude ( A ) = 34 cm Base ( B ) = 46 cm let Area = A

Q: Find f(-1) + f(4), given the function: 14 11 04 13 x² + 1, if x 1

A: Topic = Functions

Q: 2k, {}) 4k

A:

Q: If h(2) = 5 and h'(2) = -2, find d (h(x) dx X x = 2

A: given  h(2)=5  and  h'(2)=-2find   d dx(h(x)x)  at x=2we know   d dx(ab)=bdadx-adbdxb2

Q: Evaluate the integral 0 L 6x (x²+1)³/2 dx.

A:

Q: Find the equation of the line that is tangent to the graph of the function at the right when x = 1.…

A: The given function: fx=9-x3x+1We need to find the equation of the tangent line at x=1.

Q: Find two points where the curve x² + 2xy + y² = 53 crosses the x-axis. The tangents to the curve at…

A: We need to determine slope.

Q: ← dy (a) Show that y* +x-6=0 is an implicit solution to dx Part 5 of 6 1 on the interval (-∞,6). 4y…

A:

Q: Differentiate the function. F(t) = (3t - 5)² F'(t) =

A: Let's differentiate given function.

Q: It's wrong

A:

Q: Find the derivative of the function f(x) = f'(x) = sin x COS X N

A:

Q: Find the distance between the points with polar coordinates (6, π/3) and (8, 2π/3).

A: formula for distance is  D=(x2-x1)2+(y2-y1)2in rectangular coordinates  x=rcosθ and y=rsinθgiven…

Q: 14) у = так? (*); а = ? А) Ч 47X2 х2+4 B) - L 2\4-x³² c) 2 D) L 2+X

A: according to guide line we do only first part .please re post other parts in next question (14)…

Q: Determine whether Rolle's Theorem can be applied to the function f(x)=x²- 10x + 16 on the closed…

A:

Q: 11. a =(3, 1); b =(− 6, − 2). Evaluate 2 12. a =(3, 1); b =(-6, -2). 3(a - b) Evaluate 3 a-b

A:

Q: A circle with center O and passing through the origin is graphed below. What is the equation of…

A: From the figure center = ( -4 , 2 ) let r = radius

Q: 15

A:

Q: Convert from radians to degrees: 5n - b. 18 10

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Topic: Time Rates: Inverse trigonometric functions A balloon leaves the ground 500 feet away from…

A:

Q: Determine whether the series given by Σ±% (-3) k+1 (-3)*+¹

A:

Q: Determine all values of x. (if any), at which the graph of the function has a horizontal tangent.…

A:

Q: Differentiate the function. f'(x) = f(x) = sin(7 In(x))

A: Given,           fx=sin7 lnxTo find : Differentiate the function.

Q: Find f such that f'(x) = 4x² + 3x - 4 and f(0) = 4. f(x) = C

A: Given f'(x)=4x²+3x-4 We know, ∫xndx= x(n+1)/(n+1) +C, C is a constant

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: Use the summation formulas to rewrite the expression O O 4 8 71 72 6 8 6 S I I I + n 8 4 72 8 S…

A: 12+22+...+n2 = n(n+1)(2n+1)6. 1+2+...+n = n(n+1)2

Q: you solve the Partial Fraction please

A: Given that             16x2-x+36x3-5x2+1=16x2-x+3(6x-5)x2+1

Q: Find the average rate of change of the function over the given interval. P(0)=03-202+60; [1,2] ΔΡ ΔΘ…

A:

Q: 7. The speed of a runner increased steadily during the first three seconds of a race. Her speed at…

A:

Q: Write the sum without sigma notation. Then evaluate. 6 Σ sin kn k=2 Write out the sum. 6 Σ sin kn =…

A: Given series ∑k=26sinkπ

Q: (x + 2y - 3)dx + (2x + 4y - 9)dy = 0

A:

Q: Two sides of a triangle are 16 and 8. Find the size of the angle 0 (in radians) formed by the sides…

A:

Q: Find the derivative of: 7 sin² ( – 2xº).

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

Q: 9. Use the comparison theorem to show that So L'√T- 10. Find √1 + x² dx ≤ Also show that ²√1 + x dx…

A:

Q: If f(x)= f'(x) = = tan z sec x -4

A:

Q: Find the equation of the line through the point (-5, 4) and perpendicular to the line y = 2-5.…

A: In this question, we want to find a equation of the line perpendicular to the given line passing…

Q: Use Calculus to find the behavior of g. g(x) = x³ - 3x²is restricted to the interval.x € [-1,4] 19.…

A: Note: Since, the student has mentioned to solve question no. (21), so we are solving according to…

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A:

Q: Determine the x-value of all critical points for the following function. x² x-3 f(x) = x² x-3 The…

A:

Q: Use the Divergence Theorem to calculate the flux of F across S, where F = zi+yj + zxk and S is the…

A: