Find cos(θ), if sec(θ)=−2.  Round your answer to four decimal places.

Q: dy (3x+4x (2x – 1)° , find the dx Let y =

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Q: Solve the following inequalities by the verification method and indicate the solution set on the rea...

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want...

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Q: 1) lim (2x – 3) = 1 %3D x-2 2) lim|x| = 0 3) lim x2-9 6. х-з х-3 9 3

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Q: Find the limit L. Then use the e-6 definition to prove that the limit is L. lim X--4 12 Submit Answe...

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Q: TLER stic Find the equation of the plane through the origin and the points (3,–2,1) and 1,1,1).

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Q: 2. A continuous function f is defined on the interval [-2, 2]. The values of f at some of the points...

A: As per our guide line if multiple questions are posted we are supposed to answer only the first one ...

Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

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Q: Determine if the function is a solution to the given differential equation. y = e7x −  ex 6 solves y...

A: The objective is to determine if the function is a solution to the given differential equation.

Q: Professor Easy's final examination has 11 true-false questions followed by 3 multiple-choice questio...

A: Given:    11 true-false questions followed by 3 MCQ

Q: Evaluate the integral. (If the quantity diverges, enter DIVERGES.) ∞   −∞ x (x2 + 4)2 dx

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Q: V1+xl/n dx = n/ u/²(u- 1)"-1 du

A: We have to prove given integral function.

Q: sin 2.xdx Vsin? x- 3 Evaluate: а. 2Vsin? x -3+С b. sin? x-3+C +C d. Vsin? x-3+C с. Jsin? x-3

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Q: Rewrite the logarithm as a ratio of common logarithms and natural logarithms. log7 69 (a) common log...

A: We can write the answer as below.

Q: x², if xs1 4. Let f(x) = . Find f. (1) andf'(1). Does f'(1) exists? 2x, if x>1 Show that the functio...

A: 4. fx=x2,if x≤12x,if x>15. y=f(x)=x2-3x

Q: Let g(x) = *-f(x) S(x) find g'(1), if f(1) = 4 and f'(1) = 2 c. - d. а. 2 b.

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Q: Plot P(2, -4, 1) and Q(0, 3, 4) on the same set of coordinate axes

A: Give query is to plot P(2, -4, 1) and Q(0, 3, 4) .

Q: continuous 2十3℃-10 Let fundtion fce)= て-と a H=2 at point then a =

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Q: Consider the following. y 6 y = f{x) 4 2 (a) By reading values from the given graph of f, use five r...

A: Given:-The graph of y=f(x) is Note: The values of f(x) can not be observed accurately at each point...

Q: 3. (х+1)dy %3D (2хе* - ху-2у)dx

A: Given :   (x+1) dy=(2xe-x-xy-2y)dx

Q: Use the properties of logarithms to expand the expression as a sum, difference, and/or constant mult...

A: We have to expand the expression as a sum , difference, and/or constant multiple of logarithms. The ...

Q: Evaluate the limit. V x2 + 3 lim 3x² + 1 x- 00

A: Given: - The equation is, limx→∞x2+33x2+1 To Evaluate: - The limit of the given equation,

Q: using

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Q: 1. Let f(x) = |x| + 2. Determine if f is differentiable at x = 0. 2. Let f(x) = x5. Determine if f'(...

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Q: A portion of the graph of f', the derivative of the twice differentiable function f, is shown in the...

A:   f'(x) = 0  at x = 1 and x = 6 Hence, the graph of f has a horizontal tangent line as f'(1)= f'(6)...

Q: Match the given equation with the verbal description of the surface: A. Circular Cylinder B. Cone C....

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for you...

Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

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Q: Use Newton's Method to approximate the zero(s) of the function. Continue the Iterations until two su...

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Q: Evaluate the limit. Vx2 lim x² + 3 3x2 + 1 x- 00

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Q: the pern P(t) = 6t + 18 dollars per barrel (0 sts 10) in year t, where t = 0 represents 2000. Saudi ...

A: Revenue

Q: Determine the value/s of D if the graph of the equation 4x 2 + y 2- 4x + Dy = 1. an ellipse; 2. an e...

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Q: dy Find if y = (6x – x³)% dx V6x - x² b. 2. V6x–x² b. 6- 2х (3 – x)/6x–x² - Y - X d. (6–2x)/6x-x² с....

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Q: Don’t skip any steps. Solve the separable differential equation : dy/dx = 3x^2y, y(0) = 2

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Q: Find the slope of the line tangent to the given curve at the indicated poin a. f(x) = 3x + 10 at (-3...

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Q: PROBLEM 3: f (x) = Vx + 2 at (-1,1)

A: slope of tangent of function y=f(x) at (a,b) is given as m=f'(a)=dydxx=a

Q: Determine the second derivative of y = V5x² + 1 Determine the third derivative of y = (x² – 1) (2x³ ...

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Q: Find the x-value(s) at which the tangent line to the curve y = x2 + 16 is horizontal. (Enter your an...

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Q: Evaluate the limit. lim x+0+

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Q: Find the limit. est – 1 lim t-0 sin(t)

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Q: A quadratic function f is given. f(x) = x2 − 4x + 5   Express f  in transformation form.

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Q: Which of the following is/are exact differential equations? d) (e2y-ycosxy)dx + (2xe2y-xcosxy+2y)dy...

A: Given : d) (e2y-ycosxy)dx + (2xe2y-xcosxy+2y)dy = 0 e) (t/y)dy + (1 + lny)dt = 0 f) (tany - 2)dx + (...

Q: jpechudu - 2tan"e.c tan "(sinhu) - c

A: To prove:- ∫ sechu du =2 tan-1(ex) +C                     = tan-1(sinhu) +C 

Q: y = sin(Ax + B)

A: We will find the Differential equation as following. 

Q: Determine the point on the curve for the function H(x)=(-5x+7)(2x+3) where the slope is -1/2

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Q: The point (- 17, – 20) is on the graph of y = f(x). | a) A point on the graph of y = g(x) , where g(...

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Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

A: The given limit limx→∞4x-34x+54x+1

Q: 5) lim f(x), if f(x) px+1 t(x-4)2+3 if x<2 if x22 x-2 2- 2+ f(x) f(x) 1.5 2.5 1.9 2.1 1.99 2.01 1.99...

A: Topic:- limits

Q: Use the properties of logarithms to rewrite and simplify the logarithmic expression. In(5e)

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Q: Find the general solution of the following homogenous lineare 1. (D² +5D + 6)y = 0 %3D 2. (2D? – 5D ...

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Q: Given that a1= -15 and d=-4, find the first six terms

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