If find f'(x) f(x) = = 5x² tan x sec x

Q: If sin x = - 5 (Matching problem) Answer: 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. ✓sin (2x) cos (x) V ✓cos (2…

A:

Q: Use the given function value and the trigonometric identities to find the exact value of each…

A: Topic = Trigonometry

Q: Given and f'(-1) = 4 and f(-1) = -6. Find f'(x) and find f(2) = = f"(x) = = 2x + 3

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: What is the solution to the differential equation:  dy/dx = y/(x2 + 1)  when y > 0?  A. y = eC +…

A:

Q: S4 (1+4/2) ² dr dx iv. S₁

A:

Q: Problem 4. Calculate each of the following indefinite and definite integrals. Remember that you…

A:

Q: Find the slope of the tangent line to r = cos(20) at 0 = 4.

A:

Q: Sketch the graph of a function f for which f(0) = 0, f'(0) = 3, f'(1) = 0, and f'(2) = -1. y y -1 -1…

A:

Q: 5) Which of the following products can be used to solve the systems of linear equations below? 3x -…

A: The given system of equation is: 3x-4=-zx+2z=5

Q: Let F(t)=4t^4i−2sin(3t)j+2e^(5t)k and G(t)=−2cos(2t)i+j+4/t^4k,find F(t)⋅G(t)

A: Let's find F(t)•G(t).

Q: Suppose that f and g are functions that are differentiable at x = 1 and that f(1) = 2, f'(1) = -1,…

A: We have to find derivative at x=1

Q: (a) Complete the table below, with values of y = 2ª. x 0 2 y = 22 (b) Complete the table below with…

A:

Q: x² - 7x+12 |3-x| +|x-1| for x 3. a) As a approaches 3, the quotient gives an indeterminate form of…

A:

Q: Let f(x)=2x+1, find f(a), f(h +a), the net change, and the average rate of change. I found…

A:

Q: Express the equation in exponential form (a) In 2 = x is equivalent to e4 = B. A= and B= (b) In x =…

A:

Q: Find the positive root for x^2 - 0.9 x -1.52 0 = in the interval (1, 2) by the Bisection Method with…

A: The given equation is; x2-0.9x-1.52=0.

Q: iv. f/6(sec²(x)) dx

A: Integration

Q: Find an equation of the line that contains the given pair of points. (17, 22), (4, 9)

A:

Q: Apply Newton's Method to approximate the x-value of the indicated point of intersection of the two…

A:

Q: EXAMPLES Find an equation of the tangent line to the parabola y--&x+9 at the point (2.-3). SOLUTION…

A: Find equation of tangent line

Q: 12. The table below gives several values of the function f. Additionally, it is known that ƒ is…

A: Concept: The intermediate value theorem asserts that if "f" is a continuous function across a closed…

Q: 9. Find the area bounded by y = x², y = -x, from x = 0 and x = 2. A. 2/3 square units B. 8/3 square…

A: As per our guidelines we are allowed to solve only one complete question. kindly repost others.…

Q: - Two forces are applied to the construction bracket as shown. F₁ = 800 lb and F2 410 lb, and their…

A: Topic- vectors We are givenF1=800lbF2=410lbangle F1makes with x axis=70°angle F2makes with x axis=θ°…

Q: 6. B. A A = t²i- tj + (2++1) R B = (2-3)2 +Ĵ-tê d (A x d B dt dt dB dt 11 @t=1 FIND:

A:

Q: Solve y = (1 + y) sec (x) + tan (x)

A:

Q: QUESTION 1 Determine the solution of the 1st Ordered Differential Equation: xy³ dx + ye dy = e-*dy

A:

Q: The hypotenuse of a right triangle is twice as long as the shorter leg. x. Let y be the longer leg.…

A: Given x is the length lf the shorter leg, y is the length of the longer length. So, length of…

Q: Evaluate the following double integral over the region R by converting it to an iterated integral.…

A:

Q: . If the money is invested at a rate of 5% compounded continuously, when ill the amount triple?

A: Given: Interest = 5%

Q: If a force of 49 N stretches a spring 0.7 m beyond its natural length, how much work does it take to…

A: We have given  Force = 49 N Using Hook's law F=kx ........(i) k=Fx Put F=49 N and x = 0.7 m k=490.7…

Q: 13. x cos2 y dx + tan y dy = 0.

A:

Q: Eliminate the arbitrary constant for y=5+Ae^-x

A: Given function, y=5+Ae-x That is (y-5)=Ae-x                                  (1)

Q: Determine the solution of the 1st Ordered Differential Equation: y(x² + y²)dx + x(3x² - 5y²)dy = 0

A: y(x2+y2)dx+x(3x2-5y2)dy=0x(3x2-5y2)dy=-y(x2+y2)dxdydx=-y(x2+y2)x(3x2-5y2) Substituting  y=vxy'=v'x+v…

Q: What is the solution to the differential equation below:  dy/dx = x2y2 when x > 0, y > 0?  A. y…

A: I am attaching image so that you understand each and every step.

Q: Let h(x) = tan (2). Which of the following best describes its fundamental algebraic structure? A. A…

A:

Q: f²(x) x-2x³-f(x)* 2. Suppose that limf(x) = 5. Compute lim x-2

A:

Q: III. Eliminate the arbitrary constants of y = c₁ cos3x + c₂sin3x.

A: Given function, y=C1cos(3x)+C2sin(3x)

Q: QUESTION 3 Derive a Differential Equation that is free from arbitrary const

A:

Q: spot speeds of vehicles observed at a point on a highway are 40, 55, 60, 65 and 80 km/h. The…

A:

Q: Write an exponential decay model with A (t) representing the amount of Iodine-125 remaining in the…

A: Initial amount of Iodine, A(0)=0.72 grams Rate of decay, = 1.15% r=0.0115

Q: Find the 31th derivative of the function f(x)=cos(x) Explain step by step.

A:

Q: Find all of the partial derivatives for each function: 1. f(x, y) = x¹ +6√-10 2. w=x²y-10y²z³ +43x −…

A: As per the guidelines I am supposed to do the first question among multiple questions. To get the…

Q: Problem 1 Find the roots of the following polynomials: a) 3x² + 3x³ - 21x² − 3x + 18

A:

Q: Assume that f(x) is a one-to-one function. a) If f(8) = 3, then f-¹(3) = b) If f¹(-7)=-6, then f(-6)

A: For a one-to-one function, If f(x)=y then f-1(y)=x

Q: 2. Evaluate the following integrals a) f √1+2-√1-dx (Hint: Maybe you need to rationalize the…

A:

Q: i. ii. iii. i. § 2x(x² +1)⁹⁹ dx ii. 1 6x cos(x²) dx, (x²+2x)5 (4x³ + 2)dx sin (6x) cos(6x) -dx, = x²…

A:

Q: III. A. Test the given function for its homogeneity. If it is homogeneous function, give its degree.…

A: I am attaching image so that you understand each and every step.

Q: Use the trapezoidal rule to approximate the integral the integral sign , lower limit = 0 , upper…

A:

Q: Find the general solution (x² +1) 4x + 3xy = 67

A:

Q: Minimum value of x?

A: The given graph is: